11.03.2014 Views

3 - Jacobs University

3 - Jacobs University

3 - Jacobs University

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Second-Party Quality Auditing<br />

in the Automotive Industry<br />

In-depth Methodology Analysis<br />

by<br />

Borislav Hadzhiev<br />

(borislav.hadzhiev@volkswagen.de)<br />

a thesis for conferral of a Doctor of Philosophy in<br />

Communications, Systems and Electronics<br />

Dissertation Committee<br />

Prof. Dr. Werner Bergholz • <strong>Jacobs</strong> <strong>University</strong><br />

Dr. Mathias Bode • <strong>Jacobs</strong> <strong>University</strong><br />

Prof. Dr. Roland Jochem • TU Berlin<br />

Roberto Lotz • Volkswagen AG<br />

Roman Mogalle-Kiebler • Volkswagen AG<br />

Chair of the Dissertation Committee: Prof. Dr. Werner Bergholz<br />

Date of Defense: September 21, 2012<br />

School of Engineering and Science<br />

<strong>Jacobs</strong> <strong>University</strong> Bremen • Campus Ring 1 • 28759 Bremen • Germany<br />

Group Quality Assurance Supply Parts Chemistry<br />

International Coordination Supplier Audit<br />

Volkswagen AG • P.O. Box 011/14670 • 38436 Wolfsburg • Germany


Disclaimer<br />

April 23, 2013<br />

To whom it may concern,<br />

I, Borislav Hadzhiev, hereby declare that this Ph.D. Thesis is an independent work that has not<br />

been submitted elsewhere for conferral of a degree.<br />

Publications about the content of this work require the written consent of Volkswagen AG.<br />

The results, opinions and conclusions expressed in this thesis are not necessarily those of<br />

Volkswagen AG.<br />

Borislav Hadzhiev<br />

i


Abstract<br />

Today automotive producers operate on a global market with very strong competition and vast<br />

variety of customers, each with their own preferences. Under these conditions automotive companies<br />

need to provide products of excellent quality in order to stay in business. However, managing<br />

quality in the automotive production is a particularly demanding task due to the fact that automotive<br />

Original Equipment Manufacturers (OEM) have some of the most intricate production networks<br />

which exist. They are involved in only about 20% to 40% of the actual production process and the<br />

trend is that in the future this share will keep on shrinking. Therefore OEMs should make sure that<br />

they cooperate only with reliable and quality capable business partners.<br />

Supplier auditing is a very important quality management tool, which is used to assess the capability<br />

of a particular supplier to deliver products of high quality and therefore its suitability as a<br />

business partner. Quality auditing is employed before awarding contracts and during the series production<br />

to assess the quality risks down the supply chain. This work studies the ability of supplier<br />

quality auditing in the automotive industry to provide reliable process capability evaluations. The<br />

case study presented here was carried out in cooperation with Volkswagen AG and evaluates the<br />

effectiveness of the supplier auditing process at the German automotive manufacturer with respect<br />

to the challenges on the global automotive market.<br />

This paper employs a research approach for assessment of the quality auditing process, which<br />

draws similarities to sampling – an important measurement method in the field of Electrical Engineering.<br />

The discussion points out important aspects for the technical implementation of the<br />

quality audit in the automotive industry as well as critical points regarding the information management<br />

of audit evaluation records. Even though the focus of this work is on the automotive<br />

industry, the analytical approach and the statistical methods used here can be used to assess the<br />

effectiveness of supplier quality auditing also in other industry sectors.<br />

ii


Contents<br />

1 Introduction 1<br />

2 Research Question and Research Motivation 3<br />

3 Research Approach 8<br />

3.1 General Strategy for Employing the Quality Audit . . . . . . . . . . . . . . . . . . 13<br />

3.2 Effectiveness of Implementation of a Single Quality Audit . . . . . . . . . . . . . 14<br />

4 Specifics of the Automotive Industry 17<br />

4.1 Internationalization of the Automotive Operations . . . . . . . . . . . . . . . . . . 17<br />

4.2 Rising Development Costs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21<br />

4.3 The Automotive Supply Chain . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24<br />

4.4 Implications for the General Automotive Quality Auditing Strategy . . . . . . . . . 28<br />

5 Fundamental Principles of the Quality Audit 32<br />

5.1 Audit Planning, Initiation and Preparation . . . . . . . . . . . . . . . . . . . . . . 34<br />

5.2 On-site Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37<br />

5.3 Reporting and Closure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39<br />

6 Empirical Data 39<br />

6.1 Quality Capability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40<br />

6.2 Quality Performance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48<br />

6.3 Automation of the Data Processing . . . . . . . . . . . . . . . . . . . . . . . . . . 54<br />

6.3.1 Matching Quality Capability and Quality Performance . . . . . . . . . . . 56<br />

6.3.2 Supplier Identification . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57<br />

7 Results and Discussion 58<br />

7.1 State and Quality of the Available Empirical Data . . . . . . . . . . . . . . . . . . 58<br />

7.2 Possible Sources of Data Bias . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70<br />

7.2.1 Revisions of Volkswagen’s Quality Auditing Process . . . . . . . . . . . . 70<br />

7.2.2 Period of Relevance of Quality Audit Results . . . . . . . . . . . . . . . . 84<br />

7.2.3 The Factor ”Human” and People Calibration . . . . . . . . . . . . . . . . 86<br />

7.2.3.1 Calibration of Supplier Quality Auditors . . . . . . . . . . . . . 86<br />

7.2.3.2 Calibration of Production Quality Assessment . . . . . . . . . . 88<br />

7.3 Matching Quality Capability and Quality Performance . . . . . . . . . . . . . . . 95<br />

7.4 Relation Between Number of Defective Parts and Delivery Amount . . . . . . . . 102<br />

8 Conclusion 121<br />

8.1 General Auditing Strategy (Sampling Frequency) . . . . . . . . . . . . . . . . . . 123<br />

8.2 Effectiveness of Individual Audits (Accuracy of Samples) . . . . . . . . . . . . . . 124<br />

8.3 Answers of the Research Questions . . . . . . . . . . . . . . . . . . . . . . . . . 129<br />

Appendices 133<br />

A Results from the analysis presented in Section 7.2.1 133<br />

B Results from the analysis presented in Section 7.2.3.2 155<br />

B.1 List of Material Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161<br />

References 162<br />

iii


Acknowledgements<br />

I hereby want to express my sincere gratitude to the numerous people, who were involved in<br />

this project and whose constructive input made it possible to achieve the results presented in this<br />

paper. Even though the list is very long and I am very thankful to every single person on it, there<br />

are a few names, to which I want to bring attention.<br />

I would like to express my great appreciation to my supervisor Prof. Dr. Werner Bergholz for<br />

his high commitment and incessant support throughout every single stage of the project, to Roberto<br />

Lotz, who with his more than 30 years of experience in the automotive sector brought valuable<br />

practical background in the discussions, to Dr. Mathias Bode for his constructive questions and<br />

insightful remarks, to Prof. Dr. Roland Jochem for his sincere and objective input, to Roman<br />

Mogalle-Kiebler for his committed and cooperative conduct. I want to also thank Roland Assmann<br />

for his interest and help in initiating the project.<br />

Furthermore, I am thankful to Carlo Boettger, Wolfgang Hering, Tanja Brueggemann, Osman<br />

Meneses and every further colleague at Volkswagen, who contributed to the productive and comfortable<br />

working atmosphere at any time.<br />

And last but not least I want to express my gratefulness also to Silviya Nikolova for her patience<br />

and strong moral support throughout the entire project.<br />

Sincerely,<br />

Borislav Hadzhiev<br />

iv


A customer is the most important visitor on our premises. He is not dependent<br />

on us. We are dependent on him. He is not an interruption on our<br />

work. He is the purpose of it. He is not an outsider on our business. He is<br />

a part of it. We are not doing him a favour by serving him. He is doing us<br />

a favour by giving us an opportunity to do so.<br />

Mahatma Gandhi<br />

1 Introduction<br />

The Cambridge Dictionaries Online (2012) define business as ”the activity of buying and selling<br />

goods and services, or a particular company that does this, or work that you do to earn money”<br />

1 . The target of each commercial organization is to maximize its long-term profits and to assure<br />

sustainability and continuity of its operations by building a set of customers which are going to<br />

repeat business with the organization in the future. Under free market conditions organizations can<br />

only achieve this, if their products meet the expectations of their target customers.<br />

The term ”quality” is defined by the international standard ISO 9000 (2005) as the ”degree to<br />

which a set of inherent characteristics fulfils requirements” (p. 18). Quality plays a central role<br />

in today’s business environment. If an organization manages to identify and fulfill its customers’<br />

requirements through its products to a high degree (achieve good quality), its products will deliver<br />

high value to its customers who will be willing to do business with the company in the future.<br />

Thus, the good reputation of the organization and the perceived value of its products will grow.<br />

In his work The One Number You Need to Grow, Reichheld (2003) argues that company growth<br />

correlates very well with its customers’ readiness to recommend company’s products to other potential<br />

customers, such as e.g. their friends or colleagues. When satisfied customers share their<br />

good experiences with other potential customers, the customer base of the organization expands<br />

generating business growth and larger long-term profits. If, on the other hand, an organization fails<br />

to meet the expectations of its customers (i.e. provides poor quality), it is very likely that the latter<br />

will not be willing to do business with the organization in the future. The pool of customers of the<br />

1 In this paper the term product is used to denote both a physical object and/or a service.<br />

1


organization will therefore shrink and the organization might not be able to sustain its business in<br />

the long run.<br />

The importance of quality is further intensified in a competitive environment. Most of the time<br />

a number of companies (business competitors) are competing for a limited number of customers.<br />

The company that offers the best quality will be able to capture the largest share of the customer<br />

pool and therefore be the most profitable. For that reason quality has become a cornerstone of the<br />

business strategies in every major industry today. It should be noted, however, that in a competitive<br />

business environment price is also an important factor along with quality.<br />

To remain profitable in the longer term companies need to sustain and continuously improve<br />

quality. This vision is reflected in international standards such as the ISO 9001 (2008, p. 9). A key<br />

concept in business management is the EFQM Excellence Model (2012) of the European Foundation<br />

for Quality Management (EFQM), which defines a framework for assessment of company<br />

progress, ideas communication, and achieving company’s business targets. However, modern business<br />

world is defined by complexity and to achieve quality of your products is not always straight<br />

forward. Definitely the ability to identify trends in customer demand and quickly and adequately<br />

respond to these changes plays a crucial role. That is the reason why companies spend millions on<br />

market research. Even though very important, identifying customer needs alone is not sufficient.<br />

It is equally challenging to translate the identified customer expectations into specific companyinternal<br />

objectives. For example, a chocolatier might know that her customers prefer the chocolate<br />

mousse neither too sweet nor too bitter. But in order to make high quality chocolate mousse the<br />

task of the chocolatier would be to first understand what ”neither too sweet nor too bitter” means<br />

to her customers and then to translate it into a specific proportion of sugar and cocoa in her recipe.<br />

The task becomes even more difficult if we move to more complex products such as a television<br />

set or a smart phone. But probably the most complex every-day product most of us would ever<br />

use is a car. An automobile has to meet a very broad set of requirements ranging from extremely<br />

diverse design and performance preferences, through tax, safety and environmental regulations, to<br />

better price for value expectations.<br />

Companies, which offer complex products, rarely produce these entirely by themselves. Very<br />

often one or rather several external companies are involved in the production process. In the race<br />

for market share business competitors are put under pressure to offer superior products at lower<br />

prices. Outsourcing part of their processes to external partners allows companies to reduce costs<br />

and concentrate valuable resources on their most important capabilities, thus maximizing the profit<br />

2


margins and strengthening their market position (Abele, Meyer, Näher, Strube, & Sykes, 2008). In<br />

a number of market sectors outsourcing has become so important that doing business without it is<br />

unthinkable.<br />

Along with its benefits, however, outsourcing turns quality assurance into a significant challenge.<br />

Increasing the number of parties involved in the production process raises the complexity<br />

of the communication flow, the number of process interfaces grows (practice shows that most of<br />

the quality related problems arise at such interfaces) and thus companies run higher risk of miscommunication<br />

of their business objectives. Nonetheless, it is the responsibility of the outsourcing<br />

company to make sure that their products meet customers’ expectations, which in turn means that<br />

quality requirements must be fulfilled in the entire supply chain. van Weele (2010) writes: ”quality<br />

of the finished product is determined to a large extent by the quality of raw materials and<br />

components” (p. 241). Therefore, it is very important for a company to carefully select its business<br />

partners. For the latter understanding the generally accepted quality practices and being able to<br />

properly manage quality are a basic requirement.<br />

This paper studies quality assurance down the supply chain of the automotive industry – a<br />

business sector with one of the most intricate mass production supply chains which exist 2 . More<br />

precisely, the aim of the subsequent discussion is to present and evaluate the effectiveness of supplier<br />

quality auditing. Supplier quality auditing is a widely used quality assurance tool, which<br />

evaluates the quality capability of production processes down the supply chain and ultimately provides<br />

essential input for decision making in the outsourcing process.<br />

2 Research Question and Research Motivation<br />

Due to the highly competitive environment on the international automotive market, the growing<br />

diversity of customer preferences, and the fact that on average 60 to 80 percent of the global automotive<br />

production is outsourced (Veloso & Kumar, 2002), competing in the automotive business<br />

is particularly demanding. Good management of the entire production chain and more concretely<br />

the use of effective quality management tools is therefore of key importance for staying in the<br />

sector. This work examines the effectiveness of second-party quality auditing in the automotive<br />

2 The supply chains of the aircraft and ship industries are of comparable complexity as that of the automotive sector.<br />

Their production scale is substantially smaller, however, which is the reason why QM tools in the two industries have<br />

not been developed and implemented to the same extent as in most other mass production sectors, what represents an<br />

additional challenge for the quality management process in those two sectors.<br />

3


industry and especially its strategic importance as an integral part of the supplier management and<br />

supply chain management processes. The purpose of this work is formulated within the following<br />

research question: Can quality performance of automotive suppliers in the mass production be anticipated<br />

based on quality evaluation of the capability of their production processes? Additionally,<br />

the analysis presented here tries to give an answer to a second, more subjective question: What<br />

is the quality of the quality auditing process at Volkswagen Group and what is its improvement<br />

potential?<br />

Naturally the quality capability of a production process is reflected in the extent to which the<br />

delivered components comply with the relevant quality specifications. It is therefore possible to<br />

infer the quality capability of a particular production process based on the quality of supplier’s<br />

products. If supplier’s products are of high quality, which is stable over time, one can conclude<br />

with relatively high level of certainty that its process has high quality capability (Figure 1). In many<br />

cases the quality of a particular part is not only expressed in its physical characteristics but also in<br />

the quality of services which the respective supplier offers. Thus for example, measures such as<br />

the on-time delivery, having sufficient capacity to keep up with the customer demand, as well as<br />

good responsiveness in cases of potential problems are quite important for the customer-supplier<br />

relationship.<br />

Supplier<br />

Production<br />

Process<br />

Product<br />

Customer<br />

(OEM)<br />

Process Quality<br />

Capability<br />

reactive<br />

Product<br />

Quality<br />

Second-Party<br />

Quality Audit<br />

proactive<br />

Figure 1: Inferring the quality capability of a supplier and ultimately its suitability as a business<br />

partner based on the quality of its final product is relatively straight forward, but rather reactive<br />

(only possible after the contracts are in place). Therefore companies try to proactively infer the<br />

quality of the final products based on evaluations (second-party quality audits) of the quality capability<br />

of the relevant production processes, which is a significantly more demanding task. The<br />

question is how successful is quality auditing in achieving this.<br />

4


Certainly companies want to work only with suppliers which are quality capable. Thus for example<br />

the Volkswagen quality criteria for contract awards described in Formel Q-capability (2008)<br />

include the following requirement: ”In order to ensure the quality of the components/modules/systems<br />

the companies of the VOLKSWAGEN GROUP [require] the supplier to [produce] the components/modules/systems<br />

in an A-rated [(quality capable)] production site” (p. 9). Even though<br />

quality of final products and services is a straightforward way to measure quality capability of production<br />

processes, making conclusions about the quality capability of a particular supplier based<br />

on its quality performance, however, is rather reactive. Quality performance can be measured only<br />

after the start of mass production. Something, what companies definitely want to avoid, is to receive<br />

parts with low quality during the series production of a particular product. Such situations<br />

would unbalance the overall business process and are therefore quite undesirable. For that reason,<br />

it is important for companies to be able to assess the quality capability of their suppliers before<br />

signing a contract. To do that, however, they need an alternative method, which allows them to<br />

determine the quality capability of a particular supplier in a proactive manner.<br />

To this end one particularly important aspect of business relationships is standardization. Given<br />

the complexity and size of the automotive supplier network, coping with the challenges posed by<br />

modern-day production requires establishing and maintaining well-structured systems for quality<br />

management (QMS) and quality engineering. The latter were originally developed by companies<br />

in an individual and informal manner, e.g. Ford’s Q101, GM’s Supplier Performance and Evaluation<br />

Report (SPEAR) (Hoyle, 2005, p. 100). It was not before the appearance of the first quality<br />

standards that the development and maintenance of quality management systems was formalized<br />

and the individual implementation steps were well-documented.<br />

Nowadays a number of international quality standards provide guidelines for the effective implementation<br />

of a quality management system (e.g. ISO 9000, 2005; ISO/TS 16949, 2009), which<br />

assures the quality of an organization’s products. Certification according to quality standards such<br />

as the ISO 9001 or ISO/TS 16949 (which builds upon ISO 9001 and is of particular importance<br />

for the automotive sector) serves to build trust in the business relationships. Companies use such<br />

certification to show that they are quality aware, to provide proof of the effective implementation<br />

of a quality management system, and to assure their clients that they work on the continuous<br />

improvement of their products. This makes certified companies preferred business partners. Moreover,<br />

even though the use of standards is of recommending character, nowadays to enter business<br />

without a quality certification is almost impossible in a vast number of industries.<br />

5


Quality standards build upon the Total Quality Management (TQM) principle, which postulates<br />

that business should be sustained through continuous improvement of its products and processes.<br />

The ISO 9000 (2005) standard defines eight quality management principles, which are fundamental<br />

for the successful operation of an organization:<br />

a) Customer focus<br />

Organizations depend on their customers and therefore should<br />

understand current and future customer needs, should meet customer<br />

requirements and strive to exceed customer expectations.<br />

b) Leadership<br />

Leaders establish unity of purpose and direction of the<br />

organization.<br />

They should create and maintain the internal<br />

environment in which people can become fully involved in achieving<br />

the organization’s objectives.<br />

c) Involvement of people<br />

People at all levels are the essence of an organization and<br />

their full involvement enables their abilities to be used for<br />

the organization’s benefit.<br />

d) Process approach<br />

A desired result is achieved more efficiently when activities and<br />

related resources are managed as a process.<br />

e) System approach to management<br />

Identifying, understanding and managing interrelated processes<br />

as a system contributes to the organization’s effectiveness and<br />

efficiency in achieving its objectives.<br />

f) Continual improvement<br />

Continual improvement of the organization’s overall performance<br />

6


should be a permanent objective of the organization.<br />

g) Factual approach to decision making<br />

Effective decisions are based on the analysis of data and<br />

information.<br />

h) Mutually beneficial supplier relationships<br />

An organization and its suppliers are interdependent and a<br />

mutually beneficial relationship enhances the ability of both<br />

to create value. (pp. 5–6)<br />

Furthermore, Hendricks and Singhal (2000) provide statistical evidence that companies, which<br />

have embraced the TQM philosophy and have successfully incorporated the TQM principles in<br />

their organization show convincing long term performance. Their financial stability and good market<br />

standing makes such companies reliable and preferred business partners. For that reason in the<br />

automotive sector certification to the international quality standards such as the ISO 9000 family<br />

and especially ISO/TS 16949 has become a fundamental requirement for entering business. Certification<br />

attests the conformity of the implemented quality management system to the respective<br />

standards.<br />

Gropp (2009) argues, however, that possessing a valid certificate does not necessarily imply<br />

high product quality. He points out that for a number of companies the major incentives for certification<br />

are the desire to maintain a good corporate image as well as the practical compulsion<br />

for certification itself imposed by the outsourcing companies. Gropp (2009) writes further that in<br />

many cases certified organizations do not follow the TQM philosophy and show high deficits in<br />

the implementation of the standard requirements especially on the process level, and sees this as<br />

the main reason why automotive companies resort to additional quality control of their certified<br />

business partners especially on the process and product levels.<br />

A standard business practice to proactively assess the quality capability of your suppliers’ production<br />

processes is through quality auditing (Figure 1). Such type of evaluation is based on the<br />

assumption that process parameters are especially important and have a direct influence on the<br />

quality of the process outputs (VDA 6.3, 2010; ISO 19011, 2011; The EFQM Excellence Model,<br />

2012). The quality audit focuses therefore on critical processes and compares their conformity to<br />

7


generally accepted benchmarks. Quality auditing is particularly useful for supplier evaluation, because<br />

it additionally offers the opportunity to estimate the levels of risk associated with the quality<br />

capability of the individual processing steps. The degree to which the according processes conform<br />

with the state-of-the-art practices is then used to make a statement about their overall quality capability<br />

and its sustainability in the long term. Having the focus of the quality audit on the correct<br />

process parameters is therefore essential for its effectiveness.<br />

There is limited scientific literature (Stroescu-Dabu, 2008; Hadzhiev, 2009), which addresses<br />

the question whether second-party quality auditing in the automotive industry is indeed effectively<br />

implemented in practice and whether it succeeds in providing a reliable foresight of the quality of<br />

purchased components. On the other hand, answering such a question is very important, because<br />

supplier process evaluations have a direct impact on a company’s sourcing decisions and ultimately<br />

affect its market performance. The current paper was motivated by these circumstances and aims<br />

at providing more insights on the topic. The following section presents in detail the research<br />

approach. Section 4 provides a general description of the automotive business sector. Special<br />

attention is paid to the trends of development of the sector and its major driving factors. The<br />

specifics of automotive production are then put in quality perspective in order to outline the quality<br />

risks with special focus on problems originating in the supply chain and their implications for<br />

OEMs’ general quality auditing strategies. The rest of the paper focuses on the effective practical<br />

implementation of quality auditing and analyses empirical data resulting from the supplier auditing<br />

process at one of the largest automotive producers in the world – Volkswagen Group.<br />

3 Research Approach<br />

To address the research questions described above this study takes an empirical approach and<br />

analyzes real-world operational business data. The analysis presented here was carried out in cooperation<br />

with Volkswagen Group and in particular its corporate department for Quality Assurance<br />

of Purchased Parts (from German Konzern Qualitätssicherung Kaufteile), which among others is<br />

responsible for the international coordination of Volkswagen’s global quality auditing units. Given<br />

the scale of the organization, the provided empirical data is particularly useful to assess challenges<br />

faced by automotive OEMs on the major automotive markets worldwide. Volkswagen Group is<br />

the largest European automotive manufacturer and currently among the three largest in the world,<br />

alongside the Japanese Toyota and the American General Motors. Volkswagen Group operates<br />

8


more than 60 production facilities on five continents and its global operations are supported by<br />

more than 9000 direct business partners (1st-tier suppliers) 3 . Because of the large number of<br />

suppliers, second-party auditing has received a central role in Volkswagen’s quality philosophy.<br />

Furthermore, the scale of its global operations and the size of its supplier base provide a broad set<br />

of empirical data, and therefore the opportunity for an in-depth analysis of the topic at hand. For<br />

these reasons, Volkswagen Group is an ideal research object.<br />

The essence of quality auditing at Volkswagen Group lies within regular evaluations of the<br />

quality capability of suppliers’ production processes. As will be explained in detail later in this<br />

paper a particular supplier quality audit lasts just several days and provides simply an assessment<br />

of the momentary quality capability state of the evaluated production processes. On the other<br />

hand, the long-term development of the quality capability of a particular production process can<br />

be obtained only by a succession of quality audits at different points of time. Interestingly this<br />

approach draws a lot of similarities with an important technique in the signal processing called<br />

sampling. Sampling is used to convert analog to digital signals and is fundamental for areas such as<br />

digital communications (Karrenberg, 2002; D’Antona & Ferrero, 2006). The idea behind sampling<br />

is rather simple: ”the input signals are converted into a sequence of sampled values by means of a<br />

sampling operation performed at given time instants, with a constant sampling period”, (D’Antona<br />

& Ferrero, 2006, p. 33) . In practical terms this means that an analog (continuous in time) signal<br />

(Figure 2a), such as speech for example, passes through an analog to digital (A/D) converter, which<br />

converts it into a digitalized (discrete in time) copy of the original signal (Figure 2b). Proper<br />

sampling reduces the amount of information contained within the original signal, but preserves the<br />

main characteristics of the signal or system under study.<br />

Most of the time analog signals contain a significant amount of redundant information, which<br />

could be omitted and the core message be still transmitted. This less relevant information introduces<br />

a computing overhead during the data processing cycle. Through sampling the amount of<br />

information in the original signal is reduced and therefore its processing is simplified. A major<br />

consideration in sampling, however, is to use enough samples in order to be able to completely<br />

retrieve the essential information in the original signal from the sampled sequence (Karrenberg,<br />

2002; D’Antona & Ferrero, 2006). Depending on the rate of variation of the individual continuoustime<br />

signals, the frequency of the sampling measurements should be adjusted accordingly. If the<br />

3 Source: personal communication with Volkswagen AG employees.<br />

9


sampling frequency is not high enough, this will lead to the improper representation of the original<br />

signal and therefore loss of information (Figure 3b (II.)). In the theory of signal processing this<br />

concept is formalized by the sampling theorem (Karrenberg, 2002; D’Antona & Ferrero, 2006),<br />

which states that an analog signal can only be fully reconstructed from its time-discrete representation,<br />

if the sampling frequency f S is at least two times larger than the highest frequency f MAX<br />

in the original signal. Here the mathematics behind this statement are omitted. For a formal mathematical<br />

derivation of the theorem and the necessary preconditions for its validity the reader is<br />

referred to e.g. D’Antona and Ferrero (2006, pp.35–40). What is important to understand here,<br />

however, is that in order to get an idea about the true characteristics of a particular continuous<br />

signal, the latter needs to be sampled with frequency sufficiently larger than the rate of its inherent<br />

variations. Thus, signals with particularly high amount of variations need to be measured<br />

more frequently than signals with lower amount of variations in order to preserve their essential<br />

characteristics.<br />

At this point one could ask what exactly the term signal means. Sinha (2010) defines a signal as<br />

”any time-varying physical quantity” (p. 9). In this line of thoughts, when talking about sampling<br />

signals, instead of referring to quantities commonly used in the field of Electrical Engineering<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

● ●●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

(a) Continuous time signal<br />

(b) Sampled signal<br />

Figure 2: Analog to digital (AD) conversion of an analog (continuous in time) sinc signal – (a) –<br />

to a digital (discrete in time) signal – (b) – using sampling with a constant frequency.<br />

10


I.<br />

f MAX = 1Hz<br />

I.<br />

f MAX = 6Hz<br />

II.<br />

●<br />

●<br />

●<br />

f S = 12Hz<br />

II.<br />

●<br />

●<br />

●<br />

f S = 12Hz<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

III.<br />

● ● ● ● ● ● ● ● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

f S = 48Hz<br />

III.<br />

● ● ●<br />

● ● ●<br />

● ● ●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

f S = 48Hz<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ● ● ● ● ● ● ●<br />

● ●<br />

● ● ●<br />

● ●<br />

●<br />

● ● ●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

● ●<br />

(a) Signal y(t) = sin (2πf 1 t) sampled at 12Hz and<br />

48Hz respectively.<br />

(b) Signal y(t) = sin (2πf 1 t) + 0.25 sin (2πf 2 t)<br />

sampled at 12Hz and 48Hz respectively.<br />

Figure 3: Sampling of two analog signals. In each of the two figures the uppermost plot presents<br />

the continuous time signal (I.). Each signal was sampled using f S = 12Hz (II.) and f S = 48Hz<br />

(III.). The signal on the left has one frequency component f 1 = f MAX = 1Hz, while the signal on<br />

the right has two frequency components of f 1 = 1Hz and f 2 = f MAX = 6Hz respectively.<br />

such as voltage or current, one may as well refer to any other quantity varying over time such<br />

as the amount of money in a particular bank account measured in EUR or the level to which a<br />

particular supplier production process fulfills the quality requirements of the outsourcing company<br />

(process quality capability) measured in percent. In the discussion presented in this paper, we are<br />

of course interested in the latter. Naturally such signals would exhibit variations on significantly<br />

different time scale than electrical signals. Nevertheless, it is still possible to measure them on a<br />

periodic basis to gain an idea about their overall behavior.<br />

Usually a company would want to assess the quality capability of its suppliers and its variation<br />

over time. The ability to identify any negative trends in the development of the quality capability<br />

of their suppliers allows companies to detect and eliminate potential problems in a timely manner.<br />

In this regard the quality audits could be deemed as the individual sampling measurements and<br />

the sequence of audits at a particular supplier as the overall sampling signal. The average length<br />

of the time intervals between individual quality audits would be therefore the ”sampling period”<br />

T S = 1/f S .<br />

11


Two fundamental factors influence the accuracy of such assessments. As already mentioned<br />

above, one is the frequency with which the individual audits are performed. Too frequent auditing<br />

of suppliers with rather stable production processes is not a problem from the quality point<br />

of view, but on the other hand would make the auditing process rather inefficient in terms of resources.<br />

However, if suppliers experience high variation of their internal processes, it can be rather<br />

misleading to expect that their overall quality capability will remain constant over long time periods.<br />

Moreover, quite probably it will be subject to persistent changes. Therefore if audits at such<br />

suppliers are not performed frequently enough, conclusions about supplier’s quality capability may<br />

rather quickly become out-of-date and not correspond to the current state of the respective production<br />

processes. For these reasons, to assure the effectiveness of the quality auditing as a quality<br />

management tool, companies need to consider the specifics of the individual links down the supply<br />

chain and accordingly adjust the auditing (”sampling”) frequency.<br />

The second important factor, which is usually omitted in the classic discussions on sampling,<br />

is the assumption that throughout the sampling process the individual measurements are accurate<br />

enough to detect the correct level of the input analog signal. In the field of Electrical Engineering<br />

such a consideration is probably rather insignificant, due to the fact that measurement of quantities<br />

such as voltage or current is very well defined and can be achieved with very high precision. When<br />

we talk about measuring quality capability, however, it is not always obvious that this condition<br />

will be fulfilled. There are a number of factors which influence the correct assessment of supplier’s<br />

quality capability during a single audit. These need to be comprehensively examined in order to<br />

make sure that the individual quality evaluations will adequately evaluate the level to which a<br />

particular production process fulfills customer’s quality requirements.<br />

Consequently, in order to guarantee the effectiveness of quality auditing as a quality management<br />

tool, companies need to address the problem from two different perspectives. On the one<br />

hand, it is important individual quality audits to be able to adequately assess the capability of a<br />

particular production process to provide the necessary quality, while on the other hand the general<br />

strategy for applying and the frequency of use of this quality management tool needs to correspond<br />

to the developments and the specifics of the according industry sector. To answer the research questions<br />

this paper pursues a similar approach and deals with the topics from two different viewpoints.<br />

12


3.1 General Strategy for Employing the Quality Audit<br />

It is quite difficult to find scientific studies, which deal with the effectiveness of the quality audit<br />

from a strategic viewpoint, especially in the automotive industry. The lack of literature is probably<br />

partially due to the fact that if there were such studies at all, these were performed internally and<br />

their results are kept unpublished because of their perceived value for the respective OEMs and<br />

the potential competitive advantage they offer. On the other hand, most of the available literature<br />

which deals with the topic of quality auditing concentrates primarily on the specifics of the implementation<br />

and individual steps of a single audit (Arter, 1989; Parsowith, 1995; Green, 1997;<br />

Wealleans, 2005) and very few works discuss also the strategic importance of effective quality auditing<br />

in the overall market strategy of the corporation (Wealleans, 2005). Even when there is such<br />

a discussion it is somewhat superficial. Thus for instance, even though works in the field of supply<br />

chain management recognize the strategic importance of supplier evaluation (van Weele, 2010),<br />

their discussion usually concentrates on the overall supply management process and the topic of<br />

quality auditing is not covered in sufficient depth.<br />

A strategy for the effective deployment of quality auditing as a major quality management tool<br />

in the automotive industry has to address several important aspects of the automotive market and<br />

to adequately respond to the challenges, which OEMs face in the different regions. First, it is very<br />

important to start with the basics and consider the implications which assembly line manufacturing<br />

alone has on the overall business process. Here it is particularly important to account for major<br />

sources of uncertainty such as changing customer demand, inherent variations of the production<br />

process as well as variations originating in the supply chain such as supply interruptions due to<br />

delivery delays or inconsistent quality of the delivered components. A second major point in this<br />

discussion are the dynamics of the global market and in particular the specifics of the developed<br />

western markets, i.e. the Triad – USA, Japan and Western Europe, versus the emerging markets,<br />

including among others the BRIC countries (Brazil, Russia, India, and China), South East Asia,<br />

and Eastern Europe. An important topic in this regard is the increasing need for diverse product<br />

portfolios, which need to be able to answer the growing diversity of customer preferences. A third<br />

important factor, which needs to be considered, are rising development costs and the trend towards<br />

outsourcing major portion of the production process. It is especially pressing to account for the<br />

growing complexity not only of the supplier network but also of the sourced components, as well<br />

as to consider topics such as sustainability of the production process quality capability.<br />

All these factors have a strong influence on the market performance of automotive OEMs since<br />

13


they put the quality of the final products to the challenge and are therefore relevant aspects to<br />

be taken into account in a study about the effectiveness of quality audits. The individual points<br />

are discussed in detail in Sections 4 and 4.4, as the discussion aims to provide the reader with<br />

background for commonly accepted business strategies in the automotive sector. Of particular<br />

interest are the therewith associated quality risks and the consequences these have on the overall<br />

quality auditing strategy. As a particular example the quality auditing policy of Volkswagen Group<br />

is presented in detail with respect to the presented quality challenges in the automotive sector.<br />

3.2 Effectiveness of Implementation of a Single Quality Audit<br />

The second part of this work deals with the ability of a single quality audit to accurately infer the<br />

actual quality capability of the respective supplier at the time of the audit. If one assumes that<br />

the quality audit is effectively implemented and can adequately infer the quality capability of a<br />

supplier, one should expect that audit evaluation results would correspond to the actual quality<br />

performance of the respective suppliers at the time of the audit. In the end an audit evaluation<br />

score and the quality performance of a particular supplier are just two different ways to evaluate<br />

the quality capability of the same supplier production process.<br />

This assumption is confirmed in an empirical study by Wittmann and Bergholz (2006), who<br />

analyzed the benefits of quality auditing at Infineon Technologies AG (a producer of electronics).<br />

They found that there is ”at least qualitative” correlation between the quality performance<br />

of individual Infineon suppliers and their audit scores (Wittmann & Bergholz, 2006). Suppliers<br />

with higher quality evaluation scores would cause lower number of quality related problems in the<br />

overall production process. Furthermore, the results of the analysis by Wittmann and Bergholz<br />

(2006) also show that quality auditing has a positive effect on the long term quality capability<br />

of suppliers’ production processes. The authors observed the tendency that suppliers’ evaluation<br />

scores continuously improve during the subsequent audits (second and third audit). On the other<br />

hand, the results of their study show that the quality capability of suppliers of wafer substrates was<br />

rated significantly higher than that of suppliers of process materials such as gases and chemicals<br />

(Wittmann & Bergholz, 2006). The authors do not provide information about the relation between<br />

the evaluation scores of the latter and their actual quality performance. Nevertheless, such findings<br />

suggest important differences within the individual parts of the supplier network, which have to<br />

be studied carefully as they would eventually identify potential adjustments of the overall quality<br />

auditing procedure specific to the respective type of industry.<br />

14


The work of Wittmann and Bergholz (2006) provides an important method for assessment of<br />

the effectiveness of quality auditing. An evaluation of the consistency between quality performance<br />

of Volkswagen suppliers and their respective quality evaluation scores is therefore a good starting<br />

point to assess the effectiveness of the implementation of quality auditing at Volkswagen Group in<br />

particular and in the automotive industry in general. Consequently, a substantial part of this paper<br />

is devoted to a set of studies, which investigate this relationship.<br />

Performance information of Volkswagen Group suppliers was acquired from production plant<br />

records and is compared to the perceived quality capability of the respective supplier production<br />

processes provided by their quality auditing scores measured in percent. At this point the initial<br />

hypothesis of this part of the analysis can be summarized in that suppliers which obtained higher<br />

scores during the audit evaluation are expected to have fewer problems throughout the series delivery<br />

and therefore better quality performance, and vice versa. Any discrepancies between the<br />

evaluation scores of suppliers and their actual quality performance imply potential deficiencies of<br />

the quality auditing routine and therefore identify particular areas which need closer examination.<br />

On the other hand, best practice audit processes can be derived from cases which show good parity<br />

between the two investigated quantities.<br />

Two recent studies (Stroescu-Dabu, 2008; Hadzhiev, 2009) evaluate the effectiveness of<br />

Volkswagen Group’s quality audit and employ the same analytical approach. These works already<br />

outline important findings, which serve as a basis for the analysis presented here. The first<br />

important point is the fact that the automotive supply network is characterized by a high level of<br />

diversity. This is not surprising, provided its enormous scale and the great variety of individual<br />

components, which are assembled in a car. Stroescu-Dabu (2008) uses a general supplier categorization<br />

based on the type of industry in which each company operates. Suppliers are divided into<br />

metal, chemical, and electrical suppliers. The analysis of Stroescu-Dabu (2008) shows that the<br />

distribution of evaluation scores of electrical suppliers is statistically different than the evaluation<br />

distributions of metal and chemical suppliers. The latter, on the other hand, have similar evaluation<br />

score distributions. Furthermore, while in the electric industry auditing scores show relatively<br />

good correspondence to the quality performance of the respective suppliers, for suppliers which<br />

operate in the metal and chemical industries results do not provide any evidence that suppliers with<br />

better audit scores perform better in terms of quality of the delivered components. This is a highly<br />

undesired state of affairs and needs to be clarified.<br />

In an attempt to narrow down the causes of these results Hadzhiev (2009) extends the findings<br />

15


of Stroescu-Dabu (2008) and uses a more detailed data categorization, which takes into account<br />

not only industry of operation, but also the type of delivered components as well as the processes<br />

involved in their production. The general trends of the overall data, observed by Stroescu-Dabu<br />

(2008), are confirmed also by the analysis of Hadzhiev (2009). Nevertheless, the results of the<br />

second work reveal additional subgroup differences within the individual industry sectors. In<br />

particular, certain supplier subgroups in both electric and metal industries, such as suppliers of<br />

lighting components or metal profiles, show significantly better consistency between their quality<br />

evaluations and actual quality performance than the rest of the suppliers in the respective industry.<br />

Meanwhile, industry sub-groups, such as suppliers of electro-mechanic controls or cast metal<br />

components, show a negative relation between their quality capability evaluation scores and their<br />

quality performance. For such suppliers a higher quality evaluation score corresponds to a larger<br />

number of quality related problems in the series production.<br />

The studies by Stroescu-Dabu (2008) and Hadzhiev (2009) suggest potential shortcomings of<br />

the quality auditing practice at Volkswagen Group. Even though some of their results are on the<br />

verge of statistical significance, the findings of the two studies emphasize the need for further research<br />

on the topic in order to understand the underlying reasons for these observations. There are a<br />

number of factors, which are not accounted for in the two papers presented above, but which could<br />

potentially bias the data and therefore strongly influence the analyses. One particularly important<br />

point is consistency of the evaluated quality performance data. The supplier quality performance<br />

indicator used in both works is ppm (defective parts per million). At the first stage of this project<br />

it was found, however, that there are significant differences in the way ppm are collected for simple<br />

components as opposed to more sophisticated assembly units (for a detailed discussion of this<br />

point see the following sections). These characteristics of the data make comparisons between<br />

records, based on ppm-values only, difficult and sometimes even meaningless. It is even possible<br />

that, partially due to heterogeneous quality performance data, sectors such as metal and chemical<br />

industry do not show the desired consistency between the quality capability scores and the actual<br />

quality performance of the respective suppliers. In certain cases it is more meaningful not to rely<br />

on ppm records alone but to use additional indicators to describe supplier’s quality performance.<br />

Later on the author discusses also a number of additional biasing factors such as the validity<br />

of a particular audit evaluation over time, the proper definition of product groups used for categorization<br />

of audit evaluation scores, as well as the ”human” factor in the data including auditor and<br />

quality inspector ”calibration”. All these influences could potentially affect the consistency of the<br />

analyzed data and must be considered in order to assure the conclusiveness of the analysis. How-<br />

16


ever, to improve the structure of the presented argumentation, it is meaningful to first introduce the<br />

specifics of the automotive business sector and their implications on quality auditing.<br />

4 Specifics of the Automotive Industry<br />

Strategic decision making in any organization is a complex process which has multiple dimensions<br />

besides the quality aspects (especially important are the financial incentives). It is therefore the<br />

responsibility of quality managers to understand corporate strategies, to identify the quality challenges<br />

resulting from them and accordingly to counteract these challenges in order to guarantee<br />

the effectiveness of their quality management tools and eventually the high quality of final products.<br />

For these reasons the current section introduces the major aspects of the automotive sector, its<br />

driving factors and draws conclusions upon particularly important aspects relevant for the quality<br />

auditing process.<br />

4.1 Internationalization of the Automotive Operations<br />

Until the 1980s major automotive players had their operations concentrated mainly on the local<br />

markets and international presence, even though existing, was quite limited (Veloso & Kumar,<br />

2002). Moreover, most of the automotive sales were generated in the Triad – USA, Western Europe,<br />

and Japan. American automotive producers dominated the American market, Japanese car<br />

manufacturers dominated the Japanese market and the European players were present mostly in<br />

Europe. However, automotive producers had been facing a mature market in the Triad for decades<br />

with limited annual market growth and were looking for ways to expand their customer base. This<br />

is the reason why in the recent a few decades the international presence of automotive producers<br />

increased, which intensified the competition for market share. Local brands were highly affected<br />

by this global expansion. American producers for example lost about 20 percent of their local<br />

market share to Japanese car-makers (Veloso & Kumar, 2002). Similar trends were observed in<br />

Europe as well, though on smaller scale due to stricter trade regulations (Veloso & Kumar, 2002)<br />

and higher quality standard of the European manufacturers.<br />

The increase of international operations, however, was not limited only to the Triad. In the late<br />

1980s and the 1990s a number of new markets outside the Triad opened and offered opportunities<br />

to the automotive players to increase their market share. Governments in South America and Asia<br />

17


Million Units<br />

80<br />

60<br />

40<br />

Worldwide Automotive Production<br />

15,8 14,1 16,4 18,3 17,9 19,6 21,5 25,1 27,3 30,2 34,2<br />

35,3<br />

35,8<br />

46,5<br />

20<br />

0<br />

100%<br />

39,2 39,4 39,8 40,0 38,4 39,4 39,2 39,4 39,2 39,1 39,1 35,4<br />

25,9 31,1<br />

1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010<br />

75%<br />

29% 26% 29% 31% 32% 33% 35% 39% 41% 44% 47% 50% 58% 60%<br />

50%<br />

25%<br />

0%<br />

71% 74% 71% 69% 68% 67% 65% 61% 59% 56% 53%<br />

Rest of the world<br />

50% 42% 40%<br />

USA + Western Europe + Japan<br />

Figure 4: Shift of the automotive production capacity from the Triad (USA, Western Europe, and<br />

Japan) to other more cost competitive production locations. (Data Source: OICA, 1997 – 2010)<br />

alleviated strict governmental trade policies in their attempts to attract Foreign Direct Investments<br />

(FDI), (Veloso & Kumar, 2002). At the same time, the fall of communist regimes in the early<br />

1990s opened Eastern European markets and granted Western companies access to new customers<br />

also in this region.<br />

In recent years developing countries have been the motor of growth of global sales with regions<br />

such as China, South East Asia, Eastern Europe, South America, and India seeing the major<br />

growth. In the 1990s almost 80% of the automotive sales were still generated in North America,<br />

Europe and Japan (Veloso & Kumar, 2002). In the last decade, however, markets in Asia and<br />

South America soared and their growth was the major driving factor for an overall increase of<br />

global sales with about 55% to surpass 70 million vehicles (Veloso & Kumar, 2002). About half<br />

of the global sales now take place outside the Triad. The more favorable conditions on the newly<br />

opened markets prompted major automotive players to invest in these new regions and to relocate<br />

significant part of their production close to their new customers. In 1997 a mere 29% of all vehicles<br />

worldwide were produced outside the Triad (see Figure 4). In less than 15 years this share<br />

more than doubled, and 60% of the global automotive production output in 2010 came from the<br />

18


developing markets (Figure 4).<br />

Due to the extreme geographic dispersion<br />

of final customers nowadays it is very important<br />

for the automotive producers to run global<br />

operations. Usually an automotive OEM would<br />

run a number of production facilities strategically<br />

located within or close to its most important<br />

markets, with the majority of its key suppliers<br />

situated in close proximity. This not only<br />

reduces the uncertainty of deliveries to OEMs’<br />

final customers, but also significantly reduces<br />

transportation costs (transportation of voluminous<br />

products such as automobiles on long distances<br />

is quite expensive). Therefore, carmakers’<br />

decisions on where to position their production<br />

facilities are governed by the development<br />

of global markets.<br />

Million Units<br />

20<br />

15<br />

10<br />

5<br />

0<br />

Growth of Automotive Production<br />

in Developing Countries<br />

USA<br />

China<br />

Eastern and Central Europe<br />

South America<br />

South Korea<br />

India<br />

1997<br />

1998<br />

1999<br />

2000<br />

2001<br />

2002<br />

2003<br />

2004<br />

2005<br />

2006<br />

2007<br />

2008<br />

2009<br />

2010<br />

Figure 5: Growth of the automotive production<br />

in the developing countries<br />

(Data Source: OICA, 1997 – 2010).<br />

All these recent changes made today’s automotive<br />

business environment much more complex<br />

as compared to the one just a few decades ago. To defend their market positions major players<br />

need to adjust their strategies to the new market environment. On the one hand, market leaders<br />

need to defend their strong positions on the developed western markets and fend off new business<br />

rivals. Here competition does not come only from producers from other developed regions.<br />

Automotive players with recently gained momentum, such as the Korean Hyundai-Kia, currently<br />

the fourth largest automotive manufacturer worldwide, also strive to set strong foot on Western<br />

markets. Meanwhile, stagnant customer demand and limited sales in these markets exacerbate<br />

the price competition. On the other hand, automotive OEMs need to keep up with the headlong<br />

growth of developing markets and capture as large a market share as possible on these markets.<br />

Doing business in the newly opened regions in many cases can be particularly challenging due to<br />

specific governmental regulations which favor local producers. Thus for example in China foreign<br />

automotive manufacturers may only produce through local joint ventures with their participation<br />

limited to no more than 50 percent (Economist Intelligence Unit, 2011). Moreover, to develop key<br />

competences such as the production of smaller and cheaper cars, which correspond to the lower<br />

19


udget levels in these regions, plays a key role in securing a share of the sales. To support this<br />

business restructuring the supplier quality auditing process needs to be adjusted accordingly.<br />

Most of the leading automotive producers rely on supplier networks with long history of cooperation.<br />

The longer two parties work together, the better they know each other. Lasting business<br />

relationships are a sign of trust and this is the reason why OEMs prefer to work with old partners on<br />

new projects rather than enter in business relationships with new and unknown suppliers (Veloso &<br />

Kumar, 2002). However, investment in new plants in growing markets is a cornerstone in OEMs’<br />

business strategies for international operations. Particularly challenging for the expansion to developing<br />

markets turns out to be finding the proper local business partners, which are going to support<br />

their operations. Building lasting relationships with key suppliers in the new regions is therefore<br />

vital. As already pointed out, in many cases governmental regulations set particular requirements<br />

for the share of local content in the final product. In such cases it is necessary to source from the<br />

local market and accordingly work with local suppliers, with which the respective OEMs have no<br />

previous business partnerships. To mitigate the risks associated with starting up new facilities in<br />

developing markets major players invite their key suppliers to the new regions and try to replicate<br />

already existing supply structures (Veloso & Kumar, 2002). Automotive suppliers usually have to<br />

choose between opening an own production facility in the new region or transferring their knowhow<br />

to a local supplier (Veloso & Kumar, 2002). Such business moves are associated with great<br />

deal of risk and are therefore critical for the success of the outsourcing OEM on the respective<br />

market. This puts a particularly high responsibility on the quality audit.<br />

However, there are a number of common factors which make quality management in developing<br />

regions quite challenging. The high growth rates of these markets are a significant consideration.<br />

Production facilities should not only be up and running, but also project plans need to<br />

make room for capacity expansions and volume increases. Even when there are such plans, very<br />

often local suppliers are overwhelmed with new projects and fail to keep the quality requirements<br />

of their customers in focus. This leads very often to lower quality of the supplied components,<br />

increased part rejection rates at OEM’s side and jeopardizes the integrity of the entire production<br />

process. Avoiding such situations is crucial for OEMs in strengthening their positions on the new<br />

markets and this needs to receive a particularly high attention in the quality auditing process.<br />

Studies in the field of Human Resource Management show that there are several major problems<br />

faced by multinational corporations in developing countries also on the level of personnel<br />

management (Napier & Vu, 1998; Scullion, Collings, & Gunnigle, 2007). Scullion et al. (2007)<br />

20


write that ”countries such as India and China face shortages of suitably qualified and skilled employees<br />

for MNCs [multinational corporations] and local enterprises alike” (p. 311). For that<br />

reason it is difficult to recruit locally the necessary managerial force, which has the qualification<br />

to operate in these new environments (Scullion et al., 2007). Scullion et al. (2007) argue that<br />

such deficiencies generate ”a growing demand for expatriate employees” (p. 314) in the emerging<br />

markets. Furthermore, the authors write that it is difficult to persuade experts to transfer to these<br />

regions, and even when this happens, very often due to cultural differences these experts do not<br />

necessarily possess the required skills to manage in the new region (Scullion et al., 2007). At the<br />

same time high growth in emerging economies and the specifics of the market situation offer a lot<br />

of opportunities for career jumps. Very often companies in these markets face exceptionally high<br />

levels of employee turnover, which in turn inhibits the corporate learning process and makes proper<br />

knowledge management difficult to achieve. This leads to the conclusion that during quality audits<br />

in such regions it is especially important to put special emphasis on the personnel qualification and<br />

knowledge management of the suppliers.<br />

All these factors have negative influence on the quality capability of the individual suppliers<br />

which operate in these regions and especially on its sustainability. A number of re-qualification<br />

quality audits conducted by Volkswagen Group in 2010 in regions such as India and China revealed<br />

that the quality capability of their local business partners can drastically change for the<br />

worse just within several months 4 . In many of the cases the principal causes for the rapid decline<br />

in suppliers’ quality capability were related to production volume increases and high personnel<br />

fluctuations. Given the fact that emerging markets are especially important for the growth of automotive<br />

corporations and for sustaining their business, the quality assurance policies and especially<br />

the employment of quality management tools such as supplier quality auditing need to pay special<br />

attention and adequately respond to risks specific to growing markets.<br />

4.2 Rising Development Costs<br />

The next aspect of the automotive business which is relevant for quality auditing are rising development<br />

costs and the production approaches which automotive producers employ to reduce them.<br />

To cope with business challenges specific for the different regions it is essential for automotive<br />

producers to establish a product portfolio, which adequately captures the abundance of customer<br />

requirements. It is no longer sufficient to offer just a few models rather it is important to have a<br />

4 Source: personal communication with Volkswagen AG employees.<br />

21


wide product range. The number of market segments has significantly increased in recent years<br />

and the separation between the different market niches has lost its sharpness. To better respond<br />

to their customers’ requirements, OEMs constantly introduce new models, which are quite often<br />

tailored exclusively for a specific market. Such a strategy allows automotive OEMs to have access<br />

to a larger customer pool and therefore increase the amount of their sales. Furthermore, to<br />

spark additional sales the generally accepted standard in automotive business is to renew the model<br />

ranges in ever smaller time cycles which are nowadays in the order of just a few years.<br />

Developing a larger number of models much more frequently than in the past, however, is quite<br />

expensive. Meanwhile, even though currently rising – global automotive sales are nevertheless<br />

limited and the growing diversity of car models translates in fewer sales per model. Thus for example<br />

in the US the number of models offered on the market almost doubled from 550 in 1980<br />

to 1050 in 1999, while in the same time period the average number of yearly sales per model decreased<br />

from more than 20,000 units in 1980 to less than 15,000 sales per model in 1999 (Veloso<br />

& Kumar, 2002) despite an increase of the overall market volume of more than 40%. The smaller<br />

scale raises accordingly the development costs per sold unit. Given the high competitiveness characteristic<br />

for the automotive sector, providing good price for value is crucial in the race for market<br />

share. The rising development costs put the drive towards less expensive products to a significant<br />

challenge. A common practice for automotive OEMs is therefore to base a number of models on<br />

a single standardized platform such as Volkswagen’s ”A”, Fiat’s ”178” or General Motor’s ”Mid-<br />

Range” platforms (Veloso & Kumar, 2002). Platforms are a cornerstone of the automotive business<br />

operations for a number of reasons.<br />

On the one hand, the use of platforms offers a number of financial benefits, which have positive<br />

effect on a company’s market performance. Platforms allow car-makers to split development costs<br />

over several models and therefore achieve higher economies of scale. Lowering the development<br />

costs per sold unit respectively reduces the price of the individual products and has direct impact<br />

on customers’ satisfaction through better price for value. Furthermore, platforms offer a lot of<br />

flexibility and make it possible for the automotive OEMs to develop and sell a particular model<br />

practically worldwide with small modifications defined by the specifics of the individual markets.<br />

The use of platforms is also especially useful for the quick integration of technical advancements<br />

in the entire product range, which in turn gives the respective OEM a competitive advantage over<br />

its business rivals.<br />

On the other hand, the employment of standardized platforms affects positively a number of<br />

22


internal processes and increases organization’s operational efficiency and therefore its profitability.<br />

Platforms reduce the number of components and therefore simplify OEMs’ inventory management<br />

(van Weele, 2010). Meanwhile, the larger volumes per component accelerate the learning process<br />

in production, which eventually results in improved quality. An important advantage of standardized<br />

platforms is also risk-pooling. In cases of shortages of components for a particular model, the<br />

OEM can quickly counteract by filling in the inventories with the same components stock-piled<br />

for other models (Veloso & Kumar, 2002; van Weele, 2010). This is particularly useful to offset<br />

misguided forecasts of customer demand such as unexpectedly high interest in particular products<br />

and lack of interest in others (van Weele, 2010).<br />

Due to the significant advantages which the platform use offers, very often the whole product<br />

portfolio of a particular automotive group is based on just a few standardized platforms. Quite<br />

common are also cases in which automotive business competitors would form alliances among<br />

one another and develop joint platforms. Recently, more daring projects aim at the even further<br />

integration of individual models in OEMs’ product ranges and therefore larger cost reductions.<br />

One such example is Volkswagen’s MQB strategy (from German Modularer Querbaukasten or<br />

modular toolkit). The target of Volkswagen’s new strategy is to develop a universal platform for<br />

the construction of transverse, front-engine, front-wheel-drive vehicles, which is intended to be<br />

highly standardized, but at the same time flexible enough to be incorporated in a very large number<br />

of different models in several different market segments 5 . The use of the MQB is an important<br />

pillar in Volkswagen’s business strategy. It is expected that the introduction of the MQB platform<br />

would reduce the one-off expenditure and the unit costs by up to 20% each, and the engineered<br />

hours per vehicle by up to 30% (Pötsch, 2011). MQB is also particularly useful for significant<br />

weight reductions and respectively lower emissions. The first mass production models based on<br />

the MQB concept are expected to roll off the Volkswagen production lines already in 2012.<br />

Despite their immense advantages, standardized platforms represent still another significant<br />

challenge for the quality management process and in particular for quality auditing. The fact<br />

that they offer a way to suppress rising development costs, and at the same time allow OEMs to<br />

maintain product portfolios with a large number of models, gives platforms a central position in<br />

OEMs’ production strategies. However, potential defects in the individual standardized production<br />

components immediately affect all models using the platform and respectively a very large amount<br />

of vehicles. Such undesired situations not only have serious financial consequences, but also are<br />

especially harmful for the image of the respective company. In the end of 2009 and the beginning<br />

5 Source: personal communication with Volkswagen AG employees.<br />

23


of 2010 there was a major recall campaign of Toyota models. One of the reported causes for the<br />

Toyota problems was a malfunctioning accelerator pedal. Only in the USA a total of 12 different<br />

Toyota models and accordingly almost 7 million vehicles were affected by just this single problem<br />

(NHTSA Recall Report, 2011). The strikingly large number of vehicles, which Toyota recalled,<br />

is mainly due to the fact that all affected models used the same standardized component. The<br />

financial consequences of the recalls were massive. Toyota models in the US alone affected by the<br />

acceleration problems accounted for 57% of sales in 2009 (New York Times, 2010). Even worse –<br />

models of other manufacturers such as General Motors’ ”Pontiac Vibe [were] among the vehicles<br />

recalled because [they were] built through a joint venture with Toyota”, (New York Times, 2010).<br />

The Toyota recalls are a vivid example of how quickly a potential defect can propagate throughout<br />

a major portion of the product portfolio. Therefore, the growing standardization of components in<br />

the automotive production needs especially high attention in the quality management process and<br />

the quality auditing strategy in particular.<br />

4.3 The Automotive Supply Chain<br />

Another important development of the automotive sector affecting the quality auditing process is<br />

the growing complexity of the automotive supply chain. With the progressively larger number of<br />

similar products and intensifying competition, the ability to properly position your products on<br />

the heterogeneous automotive market is a key competence in the race for market share. Considering<br />

the large diversity of customer requirements and the therewith associated differences between<br />

individual markets, however, the proper management of the product portfolio requires a lot of resources.<br />

That is the reason why nowadays automotive producers get continuously less involved<br />

in manufacturing and concentrate significant portion of their capacities on enhancing the value<br />

of intangible concepts such as their brand image, which play an increasingly central role in the<br />

automotive business (Veloso & Kumar, 2002) OEMs can successfully restructure their core competences,<br />

however, only given that they cooperate with a number of carefully selected business<br />

partners, which overtake a major portion of the manufacturing process.<br />

Outsourcing is not a new concept to automotive manufacturers, as it dates back as early as the<br />

first years of automotive production. Nevertheless, outsourcing in the past would usually be limited<br />

only to individual components, which companies assembled into their final products. In recent<br />

years, however, due to the globalization of sales and the need to concentrate resources on other important<br />

competences, the amount of outsourced automotive production has drastically increased.<br />

24


Moreover, today OEMs tend to supply entire systems rather than individual components. As a<br />

result suppliers of assembly units gain increasing importance and a lot of the suppliers, which produce<br />

the individual assembly components and used to deliver these directly to the OEMs, operate<br />

now in the 2nd or higher tiers (see Figure 6). Due to such business restructuring, in the past a few<br />

decades the automotive supplier network has evolved into a very complex, highly interconnected,<br />

multi-layer, global structure. Nowadays between 60 and 80 percent of automotive production is<br />

outsourced (Veloso & Kumar, 2002). The number of just the 1st-tier suppliers the biggest automotive<br />

producers have is in the order of several hundred up to a few thousand, while the supplier<br />

base is growing ever bigger as the portion of outsourced production expands. In 2010 Volkswagen<br />

Group ran several pilots on sub-supplier management, which revealed that the average Volkswagen<br />

Group 1st-tier supplier has from 5 to 10 critical sub-suppliers, which are involved in a substantial<br />

part of its production process 6 . The results of this evaluation show that 1st-tier suppliers represent<br />

just the tip of the iceberg (reaching in the best case up to 10 to 20 percent) of the enormous<br />

pool of delegated manufacturing responsibilities and underscore once again how complex the real<br />

automotive supply chain is.<br />

Outsourcing plays a particularly important role in price reduction as well. OEMs strive to reduce<br />

the number of their business partners and at the same time increase the share of business<br />

for individual suppliers. The larger order quantities allow the outsourcing companies to negotiate<br />

better prices. However, there are particular differences between the approaches of individual<br />

automotive players in how far they would go with reduction of the number of their direct suppliers.<br />

Companies such as Renault and Volkswagen pursue a more conservative strategy and use the<br />

”two-plus-one” formula (Veloso & Kumar, 2002). This means that for every component there are<br />

two major suppliers with a third one, closely following behind. The third supplier delivers smaller<br />

quantities but meanwhile receives enough business so that in case one of the two primary suppliers<br />

cannot keep up with the deliveries the third one will step in and take over the orders. Ford on<br />

the other hand pursues a more aggressive strategy and wants to have a single supplier for each<br />

component or system (Veloso & Kumar, 2002). Currently Ford has a comprehensive catalogue of<br />

the prices of individual components and therefore an idea about what a whole system should cost.<br />

This gives Ford advantage in the negotiation process. In the future, however, Ford would know no<br />

more the prices of individual components but only the prices of the whole systems, which would<br />

give its suppliers a lot of power in the negotiations. One further advantage of the ”two-plus-one”<br />

strategy is that working with and accordingly auditing two or three suppliers provides a much more<br />

6 Source: personal communication with Volkswagen AG employees.<br />

25


comprehensive overview of the the state-of-the-art production and technology of the product, than<br />

when a company has an overview of the processes (and challenges) of a single supplier. In this<br />

regard the monetary aspect and the aspect of security of supply are complemented through the win<br />

of knowledge through auditing.<br />

Even though in most of the cases production alone is cheaper at the outsourcing company<br />

than at suppliers, companies still prefer to outsource a major portion of their production process<br />

(van Weele, 2010). The reason for that is that development of the components is particularly cost<br />

intensive. A major requirement for automotive suppliers is therefore that they possess the necessary<br />

development capabilities and take over not only the production process but the development of the<br />

respective components as well (Veloso & Kumar, 2002). Automotive OEMs expect that their<br />

suppliers will be able to offer lower prices by splitting the development costs over several of their<br />

customers. Furthermore, instead of sourcing individual components, the number of purchased<br />

complete systems increases. Usually this would require from suppliers to invest a great deal in<br />

development and be ready to first wait for several years before they can make any profit (Veloso &<br />

Kumar, 2002). Only suppliers which have the necessary development know-how and the required<br />

resources are therefore able to compete on the highest levels of the supply chain. This is the reason<br />

why in recent years the automotive supply market is dominated by large international suppliers.<br />

Suppliers with smaller financial resources cannot compete on global terms and usually restructure<br />

their business to position themselves in the lower tiers of the supply chain as local component<br />

suppliers of the large automotive system integrators (Veloso & Kumar, 2002, see also Figure 6).<br />

This increase of the depth of the automotive supply chain (lower tiers appear) means that quality<br />

auditing can achieve a representative overview of the quality risks down the supply chain only if<br />

second party audits concentrate not only on the first-tier suppliers but also on the lower tiers.<br />

One negative side of outsourcing is that it increases the quality risks and therefore influences<br />

the quality management process. As already explained in detail, nowadays companies are able<br />

to outsource significant parts of their production to external partners. Due to the high levels of<br />

outsourcing OEMs and the quality of their products are increasingly dependent on their suppliers,<br />

which gain an ever growing importance in the overall business process (van Weele, 2010). Any<br />

supply shortages or poor quality of the delivered components could lead to halts of the production<br />

and thus result into out-of-stock situations. The fact that today every automotive mass producer deploys<br />

an assembly line, makes the individual production steps interdependent and a disturbance at<br />

26


Tier 1<br />

Supplier 1<br />

Tier 2 (Tier n)<br />

Supplier 1<br />

Tier 1<br />

Supplier 2<br />

Supplier 2<br />

Supplier 3<br />

OEM<br />

Supplier 3<br />

OEM<br />

…<br />

Supplier N<br />

…<br />

Supplier N<br />

Trend of Development<br />

of the Automotive Supply Chain<br />

Figure 6: Increasing complexity of the automotive supply chain.<br />

Suppliers of simpler components and subsystems tend to position their businesses in the second and<br />

lower tiers of the automotive supply chain. The first tier is dominated by large system integrators<br />

(Veloso & Kumar, 2002).<br />

any process step has a large impact on the entire production chain. Considering the extremely competitive<br />

business environment such process variations can have significant financial repercussions<br />

leading to lost sales opportunities and consequently decrease of market share, therefore degrading<br />

the overall financial performance of the respective organization.<br />

At this point it is necessary to keep in mind that suppliers are independent business units and<br />

determine their business strategies autonomously. Very often the quality capability of suppliers<br />

is influenced by factors, which the automotive OEMs cannot control. Different managerial decisions<br />

within the individual suppliers such as changes of the workflow and process optimizations,<br />

investment in new technologies, restructurings of suppliers’ supply chains and sometimes even the<br />

relocation of entire production facilities influence the stability of suppliers’ production processes.<br />

Nowadays such modifications happen rather frequently in many business sectors and target continuous<br />

improvement and price reductions. Very often such changes degrade the quality of the<br />

delivered products and endanger the continuity of OEMs’ workflow. It is therefore very important<br />

for the outsourcing company to follow closely major changes down the supply chain and take<br />

these factors into account in its general supply management policy and the auditing frequency in<br />

particular.<br />

27


The concentration of a large portion of business in a few suppliers transforms the structure of<br />

their business operations. As indicated before, most of the 1st-tier automotive suppliers nowadays<br />

deliver entire integrated systems, rather than single components. To develop and produce these<br />

systems suppliers need a great deal of specific technical knowledge and therefore they, too, resort to<br />

outsourcing. The number of business partners of the largest suppliers on the automotive market can<br />

easily reach a few hundred. Increasingly important for such corporations is the ability to manage<br />

the quality risks down their own supply chain. Volkswagen experience shows that a significant<br />

portion of the problems originating in the supply chain are due to issues in the production processes<br />

of sub-suppliers 7 . This is the reason why quality audits at such suppliers must put special emphasis<br />

on their supplier management capabilities.<br />

4.4 Implications for the General Automotive Quality Auditing Strategy<br />

The previous several sections presented the specifics of the automotive business and already outlined<br />

a number of quality related challenges, which need to be addressed by the general strategy<br />

for quality auditing. The current section summarizes the insights gained by the discussion above<br />

and organizes the aspects relevant for the quality auditing process, which result from the specifics<br />

of the automotive sector. Figure 7 provides a structured summary of the said in the previous a<br />

few sections. Based on this summary an idealized priority listing is derived, which provides a<br />

guideline for defining the general quality auditing plan, i.e. addressing the ”sampling frequency”<br />

aspect of quality auditing (see Section 3). At the end of the section the quality auditing process of<br />

Volkswagen is compared to the results of the discussion.<br />

Several important conclusions stem from the automotive discussion above. A key point is<br />

that outsourcing has received a central role in the automotive business today and the viability<br />

of car-makers’ operations is highly dependent on the ability of their suppliers to support OEMs’<br />

core business processes. Quality is a determining factor for success in the extremely competitive<br />

automotive business environment and therefore quality assurance in the entire production chain<br />

has to be top priority for every single market player. Due to the specifics of the sector and the<br />

increased complexity of the manufacturing process in recent years, however, assuring quality in<br />

the automotive industry and especially in the supply chain has become particularly challenging.<br />

Therefore suppliers’ quality capability should be followed regularly with the help of quality audits.<br />

7 Source: personal communication with Volkswagen AG employees.<br />

28


In this respect evaluation of the quality capability of suppliers’ production processes should be<br />

carried out not only before awarding a particular contract but also regularly throughout the series<br />

production. To maximize the effectiveness of quality auditing it is important that individual quality<br />

Internationalization of Automotive Sales<br />

Business Challenges Strategic Solutions Quality Challenges<br />

• Mature Western market with<br />

local presence only<br />

• Limited opportunities for<br />

expansion of the customer<br />

base<br />

• Internationalization of the<br />

operations<br />

• High growth in emerging<br />

markets (opportunities for<br />

organizational growth and<br />

increase of market share)<br />

• Production shifts to cost<br />

competitive countries<br />

• Closer to new customers<br />

• Too high growth in emerging<br />

markets (negative impact on<br />

quality)<br />

• Governmental regulations for<br />

local content (work with new<br />

and unknown suppliers,<br />

increased quality risk)<br />

• Lack of qualified personnel,<br />

high personnel fluctuations<br />

(inhibits corporate learning,<br />

unstable production<br />

processes)<br />

Rising Development Costs<br />

Business Challenges Strategic Solutions Quality Challenges<br />

• Large variety of customers<br />

requires large product portfolio<br />

with many models<br />

• Renew model ranges in<br />

shorter cycles (shorter time for<br />

return on investment)<br />

• Fewer sales per model (larger<br />

development cost per sold<br />

unit)<br />

• Strong competition (pricing<br />

pressures)<br />

Standardized platforms<br />

• Split development costs over<br />

several models (lower<br />

development cost per unit)<br />

• Market flexibility (same model<br />

worldwide with market specific<br />

modifications)<br />

• Quick integration of technical<br />

advancements<br />

• Simplify inventory mgmt.<br />

• Shorter learning cycles<br />

• Risk pooling<br />

• Potential defects immediately<br />

affect all models based on the<br />

platform<br />

• Quality risk concentration in<br />

very high volumes<br />

• Quality problems have very<br />

high financial consequences<br />

and can damage company<br />

image (Toyota)<br />

The Automotive Supply Chain<br />

Business Challenges Strategic Solutions Quality Challenges<br />

• Very strong competition<br />

• Product portfolio and brand<br />

image management require<br />

resources (determine market<br />

success)<br />

• Rising costs of operation<br />

• Outsourcing gains growing<br />

importance (60% to 80% and<br />

growing)<br />

• Source entire systems (free<br />

resources)<br />

• Fewer suppliers with larger<br />

order quantities (price<br />

reduction)<br />

• Suppliers overtake also<br />

development costs<br />

• Growing complexity of the<br />

supply chain (1 st -tiers<br />

potentially only 10% to 20% of<br />

all suppliers)<br />

• OEM dependent on suppliers<br />

(vulnerable to supply<br />

shortages and poor quality)<br />

• Suppliers autonomously<br />

determine their business<br />

strategies (affect OEMs<br />

processes anyways)<br />

• Suppliers’ ability to manage<br />

their suppliers is critical for the<br />

entire manufacturing process<br />

Figure 7: Quality challenges resulting from the market strategies of automotive producers.<br />

29


audits are properly managed and are incorporated in a well-structured quality auditing plan. It is<br />

essential that the strategy for the employment of quality auditing adequately reflects the market<br />

situation and responds to the individual quality challenges specific to it.<br />

While the quality audit should address problems in the entire supply chain, parts of the business<br />

process which are characterized with high levels of variation and increased quality risks need<br />

particularly high attention. The latter should be audited more frequently than the rest and companies<br />

need to concentrate more resources on early problem detection in these problematic areas (see<br />

also the discussion on sampling in Section 3). One especially critical step is the start of business<br />

relationships with new and unknown suppliers. These need to be audited more frequently in order<br />

to make sure that the new business partners understand the quality requirements of the outsourcing<br />

organization and reduce the quality risks associated with the implementation of the respective<br />

projects. As the two business parties gain trust in each other and their business relationship stabilizes<br />

the audit frequency can be reduced (see Section 3). This consideration is particularly relevant<br />

for developing regions where OEMs have to work with a number of new business partners, while<br />

at the same time rapid growth and high employee turnover have negative impact on quality sustainability<br />

in these regions (Figure 7, see also Section 4.1). Due to the high concentration of quality<br />

related issues, audits in emerging markets should be rather frequent.<br />

Another particularly important point, which needs to be considered in the general quality auditing<br />

plan, are the increasingly integrated product ranges (see Section 4.2). The use of standardized<br />

platforms increases the volumes of certain components and therefore also the cost of potential<br />

problems (Figure 7). Cases in the past have shown the detrimental effects, which poor quality of<br />

standardized components has on the entire business of an organization (the Toyota recalls from<br />

2009 and 2010 are mentioned above). For that reason suppliers which deliver standardized platform<br />

components or entire integrated systems should be handled with particular care and be audited<br />

quite frequently as well. The frequency of the audits should be determined by the complexity of<br />

the delivered components, industry sector, maturity of the according technology, order volumes as<br />

well as the specifics of the region in which the respective production facilities are located. Due to<br />

the increase in deliveries of entire systems lately and the therewith associated increased complexity<br />

of the sub-supplier network (see Section 4.3), it is also important to pay special attention in the<br />

quality audit planning to sub-supplier management capabilities of the respective suppliers. This<br />

concerns particularly suppliers with high number of sub-suppliers.<br />

30


Finally, the quality auditing process has to encompass the entire supplier pool, meaning that<br />

suppliers without any quality related problems and non-critical production processes should still be<br />

subject to regular quality auditing, however, not with the same intensity as in the previous cases.<br />

All the points mentioned above can be used to prioritize quality audits and serve as a basis for<br />

the definition of a quality auditing plan, which accounts for the specifics of the automotive sector.<br />

Figure 8 presents an idealized priority list for planning second-party quality audits.<br />

High Priority<br />

(Very Frequent Auditing)<br />

• Suppliers with critical quality problems<br />

• New and unknown suppliers<br />

• Suppliers in fast developing regions<br />

(focus on personnel qualification and knowledge management)<br />

• Suppliers of components for standardized platforms<br />

Medium Priority (Frequent Auditing)<br />

• Suppliers with large supply networks such as suppliers of complex<br />

automotive systems (focus on sub-supplier management)<br />

• Suppliers with minor quality problems<br />

• Suppliers with critical production processes<br />

Low Priority<br />

(Regular re-Auditing)<br />

• Regular requalification of suppliers without quality problems<br />

Figure 8: Idealized priority list for planning second-party quality audits in the automotive sector.<br />

Figure 9 presents the average age of the audit evaluations performed by Volkswagen auditors in<br />

different regions worldwide. The empirical data shows a lot of similarities with the recommendations<br />

for the audit planning presented in Figure 8. Thus for example, in developed regions such as<br />

North America and Germany the average age of the performed audits is considerably larger than<br />

the age of audits in developing regions such as China, India, or Russia. In the light of the discussion<br />

in Section 4.1 it is reasonable to expect that the company faces indeed a lot more quality challenges<br />

in the latter three regions and therefore needs to evaluate its suppliers there more frequently.<br />

Volkswagen’s auditing strategy accounts also for the growing complexity of the supplier pool<br />

(see Section 4.3). In recent years the capability of Volkswagen’s first tier suppliers to manage<br />

their own supply chains has received increasing importance and the number of the conducted subsupplier<br />

audits has been steadily increasing 8 . One particular point, which definitely has to be<br />

8 Source: personal communication with Volkswagen AG employees.<br />

31


Average Time Period Since the Last Audit<br />

North America<br />

Germany<br />

England<br />

Spain<br />

Eastern Europe<br />

Mexico<br />

Brazil<br />

China (VGC)<br />

Argentina<br />

India<br />

South Africa<br />

Russia<br />

Time<br />

Figure 9: Average ”age” of the audit evaluations of Volkswagen Group suppliers sorted by region.<br />

Note: VGC = Volkswagen Group of China<br />

considered next in Volkswagen’s quality audit planning, is the start of production of vehicles based<br />

on the new MQB platform, which is planned for 2012. Due to the increased weight of potential<br />

problems originating from MQB components, the respective suppliers will have to be audited<br />

rather frequently.<br />

These results show that the general auditing strategy of Volkswagen adequately responds to the<br />

quality challenges in the automotive sector (at least qualitatively). On the other hand, to determine<br />

whether the absolute quality auditing frequency is suitable for the specifics of the respective regions,<br />

it is required a more comprehensive analysis of the specifics of the according region, which<br />

is not subject of this paper.<br />

5 Fundamental Principles of the Quality Audit<br />

After Section 4 introduced the specifics of the automotive industry and summarized the insights<br />

resulting from this discussion with respect to the general strategy for employing quality auditing,<br />

the current section introduces the technical aspects of the implementation of a single quality audit.<br />

32


This information is particularly helpful for the clarity of the discussion presented in the remaining<br />

part of this paper.<br />

There are three types of quality audits – first-, second- and third-party. All three types assess<br />

the capability of particular processes to provide high-quality products or services. There are certain<br />

implementation differences, however, which distinguish the individual types of audits from<br />

one another. A first-party, also called an internal audit, is conducted within an organization on<br />

internal demand by internal auditors. The purpose of this type of audit is to evaluate the own<br />

quality management system and to identify possible improvements in the work of the organization<br />

(Parsowith, 1995; Wealleans, 2005). Second-party quality auditing is performed by an organization<br />

to its first-tier (sometimes second- and even higher-tier) suppliers in order to ”prove the<br />

’technical’ capability of the [supplier] to provide the product or service”, ”check that [the supplier]<br />

has sufficient capacity and resources to cope with the customer demands”, and ”assess the rigor of<br />

[supplier’s] operational processes” (Wealleans, 2005, p. 5). As already discussed in the previous<br />

sections, second-party auditing in the higher tiers of the supply chain is of increasing importance<br />

for automotive manufacturers due to the growing complexity of their supplier network. Sometimes<br />

audits are performed by an external independent party, whose purpose is to preserve objectivity<br />

– third-party auditing. This type of audit could be performed by a company hired by the main<br />

contractor to review the work of its subcontractors or more commonly a company would hire an<br />

external auditor to review its own quality management system and its conformance to the generally<br />

accepted quality management standards (Parsowith, 1995; Green, 1997; Wealleans, 2005).<br />

Extending the production footprint by outsourcing could be regarded as an expansion of manufacturer’s<br />

factory. Therefore the employment of first- and second-party quality audits together<br />

assure control over the entire production process from the development phase of a certain component<br />

down the production chain to its placement in the final product. One could assume that<br />

third-party quality audits could have a similar function as second-party auditing. The parties involved<br />

in a second-party quality audit, however, are not so much interested in systems rather in the<br />

technical and commercial specifics of their relationship (Wealleans, 2005). This makes third-party<br />

audits more suitable for quality assurance in the sense of certifying and making sure that particular<br />

production and business processes comply with general quality standards.<br />

Even though all three types of quality auditing are an important part of the overall quality<br />

assurance process, the focus of this work falls upon second-party quality audits. Second-party<br />

quality auditing is a process, which can be divided into several individual implementation stages.<br />

33


The audit stages include audit planning, initiation and preparation, on-site evaluation, reporting<br />

and closure, (Arter, 1989; Parsowith, 1995; Wealleans, 2005).<br />

5.1 Audit Planning, Initiation and Preparation<br />

The first thing that could make the quality audit ineffective is its inadequate integration into the<br />

quality management system in terms of organization and technical content. This makes general<br />

audit planning a vital part of company’s quality assurance program and often it could be regarded as<br />

a separate phase of the auditing process (Wealleans, 2005). Audit planning, in this sense, deals with<br />

the overall quality assurance strategy. It covers scheduling quality audits within the entire planning<br />

horizon of an organization and putting the audit into strategic and general business context. These<br />

aspects were already discussed in the context of the automotive industry in Section 4. Naturally,<br />

areas, which represent high risk or contain serious quality related problems, as well as areas, which<br />

are prone to significant production process variation (e.g. suppliers in new regions with high<br />

personnel fluctuation), will be subject to more frequent auditing (Wealleans, 2005).<br />

In addition to scheduling, an important aspect of audit planning is scoping. Scoping identifies<br />

the areas which will be covered by each individual audit and usually involves identifying the<br />

facilities, processes, products, activities and quality assurance systems which will be reviewed,<br />

(Parsowith, 1995). Defining the appropriate scope of an audit can have a strong impact on the<br />

validity and relevance of the audit results. Making the scope too broad hides the risk of making the<br />

audit too superficial forcing the auditors to rush through the topics under the pressure of limited<br />

time. A narrow scope of the audit, on the other hand, allows for in-depth analysis of a particular<br />

problem, but also hides the risk of inefficient resource allocation (Parsowith, 1995; Wealleans,<br />

2005).<br />

Once the general audit planning is finalized, a lead auditor will be assigned to each individual<br />

audit and he has to take care of the rest of the preparation. His first task will usually be to select<br />

the rest of the team members based on their competence in the audited area. Depending on the<br />

width and depth of the audit the audit team size may vary. Most of the available sources agree<br />

that using more than six auditors on the team will make the audit very difficult to manage (Arter,<br />

1989; Parsowith, 1995; Wealleans, 2005). On the other hand, there are different opinions about<br />

the minimal size of an audit team. While Parsowith (1995) recommends that the team should<br />

comprise of at least two auditors, Wealleans (2005) does not exclude the cases in which a single<br />

auditor performs the process quality evaluation and even argues that in some particular cases this<br />

34


could be more efficient than having a larger team size. Given the usually limited resources in<br />

the real business world and the large amount of work, such practice increases the efficiency of<br />

the auditing units and saves costs. Volkswagen auditors for example perform supplier quality<br />

evaluations individually and sometimes in teams of two. The audit teams rarely exceed two people.<br />

By contrast, quality audits of Porsche are conducted by larger teams reaching in some cases up to<br />

five or six people.<br />

Furthermore, Parsowith (1995) suggests that in order to keep the objectivity of the audit and<br />

avoid biasing of conclusions, consequent audits within a certain area to be performed by different<br />

auditors. Wealleans (2005), by contrast, argues that assigning the same auditor for subsequent<br />

audits saves time, since the auditor will already be acquainted with the audited area and will need<br />

less time for preparation. Nevertheless, he acknowledges that if a particular auditor runs audits<br />

within the same area or organization too frequently the auditing procedure would become stale.<br />

Volkswagen pursues the strategy to build strategic audit competence, meaning that Volkswagen<br />

quality auditors develops specific process know-how and each auditor performs audits mainly in<br />

his area of competence (usually no more than two or three audits in a row at a particular supplier<br />

are performed by the same auditor). This approach enables Volkswagen to have a large number of<br />

experts possessing profound knowledge of the state-of-the-art of strategic production processes.<br />

After the audit team has been assembled, its members will have to gather all required information<br />

and get acquainted with the areas and processes, which have to be evaluated (Parsowith, 1995;<br />

Green, 1997; Wealleans, 2005). The audit team has to collect information about the delivered products,<br />

what contracts are currently in place, what the customer-supplier relationship at hand is, how<br />

important the supplier is for the overall business of the customer, and what information is there<br />

about past performance of the supplier (getting this information for new suppliers may not be fully<br />

applicable), (Wealleans, 2005). Among the documents a Volkswagen auditor prepares for an audit<br />

are technical drawings of the audited parts, specific testing requirements for the components (e.g.<br />

flammability test (TL 1010) for interior components), applicable legal regulations and standards,<br />

supplier’s quality performance record and current quality problems, etc. Wealleans (2005) recommends<br />

further that even though gathering the information may start quite early in the preparation<br />

process, the actual preparation to happen as close as possible to the audit itself. Going through the<br />

relevant documents would help identify spots which need improvement, clarification, or in-depth<br />

study. Preparation should result into obtaining detailed notes on the topics which need to be addressed,<br />

which later on could be used to prepare audit checklists (Wealleans, 2005). Wealleans<br />

(2005) does not recommend the use of standardized checklists, however, since auditors tend not to<br />

35


prepare for an audit and rely on the predefined questions, rather than on their investigation skills.<br />

Instead he recommends the use of the so-called process-based approach where individual steps of a<br />

process are described on a sheet of paper together with the relevant inputs and outputs (Figure 10).<br />

During the on-site evaluation information is gathered about all supporting elements of the process.<br />

Enablers:<br />

Materials<br />

Methods<br />

Manpower<br />

Machines<br />

Environment<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

Measurement and Monitoring<br />

• …<br />

• …<br />

• …<br />

Inputs<br />

Process<br />

Outputs<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

• …<br />

Figure 10: Process preparation sheet. Note: The figure was prepared according to Figure 9.2 on<br />

page 182 in (Welleans, 2005).<br />

Due to the limited time available for the actual audit, effective time management is a must.<br />

Thus an important part of the preparation for the audit is designing a detailed plan of action for<br />

the on-site evaluation (Arter, 1989; Parsowith, 1995; Wealleans, 2005). It should provide the time<br />

frame for the individual evaluation steps. Scheduling the supplier assessment process in advance<br />

will help team members to focus on their tasks and serve them as a reference to check on their<br />

progress with respect to the remaining time till the end of the evaluation. This part of the audit<br />

preparation is extremely important since good initial planning would ease the actual evaluation and<br />

increase the efficiency of the audit and its effectiveness in identifying issues critical to quality.<br />

Once the plan of action has been finalized a formalized copy of the audit action plan has to<br />

be approved by customer’s management and an official contact with the supplier would follow.<br />

36


The audit plan together with the names of all audit team members will be sent to the supplier and<br />

the dates of the on-site evaluation will be fixed. Sending the initial contact should happen well in<br />

advance in order to give the supplier enough time to prepare for the upcoming evaluation. Usually<br />

a Volkswagen quality audit is scheduled from several weeks up to two or three months in advance.<br />

It is supplier’s responsibility to organize the logistics of the on-site evaluation such as to allocate<br />

sufficient rooms for the meetings, assign guides for the audit team members, provide transportation<br />

between different facilities if necessary, etc.<br />

5.2 On-site Evaluation<br />

This is the most important part of the quality audit and covers the time span between the arrival<br />

of the audit team at supplier’s site and their departure (Parsowith, 1995; Wealleans, 2005). This<br />

part has a great direct impact not only on the validity of a particular process quality capability<br />

evaluation, but also on the work of the entire customer organization. Conclusions based on the<br />

information gathered during the on-site evaluation are decisive for the future of the manufacturersupplier<br />

relationship and the ’health’ of the overall production process. Positive audit evaluations<br />

are a necessary prerequisite for contract awarding in the Corporate Sourcing Committee (CSC) of<br />

Volkswagen (see also Figure 12 in Section 6.1). The structure of a particular audit as well as the<br />

methods used to collect data may vary depending on factors such as type of industry, scope of the<br />

audit, available resources, etc. (Arter, 1989; Parsowith, 1995; Wealleans, 2005).<br />

Every on-site evaluation starts with an opening meeting which includes the entire audit team,<br />

supplier’s management, and the according staff responsible for the areas which fall within the<br />

scope of the audit. The meeting is used to make the necessary introductions and to restate the<br />

aims of the upcoming evaluation (Wealleans, 2005). The auditors should address topics such as<br />

the scope of the audit as well as quality and product specifications to which the company is being<br />

audited (Parsowith, 1995). Additionally, the logistics of the audit as well as a tentative plan of<br />

action are negotiated taking into account supplier’s operational hours and resource availability.<br />

Subsequently the audit team collects objective data, which is used to assess the quality capability<br />

of supplier’s production processes (the guideline used by Volkswagen auditors for collecting<br />

objective evidence during an audit – Formel Q-Fähigkeit (2009) – is introduced in detail in Section<br />

6.1 below). Auditors pay particular attention to critical process steps and address known<br />

production problems, which have been identified during the audit preparation. Among the reviewed<br />

areas are process control tools and parameters such as SPC charts and cpk-values, results<br />

37


from different control tests and part release protocols at various process stages, documentation<br />

subject to legal regulations for storage (duty of documentation, TLD), emergency plans, etc. If<br />

during the on-site evaluation particular quality-relevant weaknesses of the production processes<br />

are identified, the supplier is responsible to define and implement the according corrective actions.<br />

During the audit auditors also need to set aside sufficient time to discuss previous evaluations and<br />

determine the progress of particular corrective actions defined in the past. At this stage it is very<br />

important that the auditors are well acquainted with the state-of-the-art of the evaluated process.<br />

This knowledge helps them to identify potential problems easier in the limited amount of time<br />

and therefore increases the quality of the evaluation. As mentioned above Volkswagen pursues the<br />

strategy to develop its auditors in particular areas of specialization, which gives the company the<br />

advantage to possess profound knowledge about strategic production processes and technologies<br />

in the automotive industry.<br />

Several auditing approaches for data collection are employed during a particular quality audit.<br />

The quality of the evaluation is influenced by the proper selection of an auditing approach, whose<br />

suitability is determined by the specifics of the situation and the type of evaluated information. The<br />

most common approaches used in the practice are tracing, corroboration, and sampling (Parsowith,<br />

1995; Arter, 1989; Wealleans, 2005). Tracing, for instance, has several variances as the most<br />

commonly used in second-party auditing are contract tracing and flow-of-work tracing (Wealleans,<br />

2005). When tracing a contract the auditor would investigate the quality assurance system and<br />

its impact on the contract of interest. On the other hand, monitoring the flow of work allows<br />

the process interfaces to be investigated in detail. This is of particular interest due to the fact<br />

that most quality related problems usually appear at these interfaces. This type of auditing is<br />

beneficial primarily for the auditing organization as it provides a high degree of assurance that<br />

the contract related job is taken proper care of (Parsowith, 1995). Volkswagen audits are usually<br />

structured in a way that they follow the flow of work from the input of raw materials through<br />

the process stages down to the final product (the Volkswagen auditing questionnaire is described<br />

in detail in Section 6.1 below). Another important auditing approach is corroboration. In this<br />

approach data sources are cross-referenced as this allows for making sure that collected data are<br />

accurate. The facts must agree based on at least two different auditors, two different records, two<br />

different interviews, or any combination of these (Parsowith, 1995). Finally, sampling is used for<br />

the collection of physical data. This technique is particularly useful for controlling large sets of<br />

data and calibration. This is the approach which is usually used by Volkswagen auditors to carry<br />

out product audits as part of the quality audit (see Section 6.1).<br />

38


Audit data collected during the on-site evaluation can be divided according to four main categories:<br />

physical evidence, sensory observation, comparisons and trends, and interviews and questioning<br />

(Parsowith, 1995). Generally speaking recorded data could be qualitative or quantitative<br />

as both types have their advantages. The main advantage of qualitative data is that it allows for<br />

the in-depth study of selected issues without the necessity to fit data into certain predetermined<br />

categories (Patton, 1987). On the other hand, quantitative data is very useful when great amounts<br />

of data have to be processed. This type of evidence offers ”statistical aggregation of the data” and<br />

”gives a broad, generalizable set of findings” (Patton, 1987, p. 9).<br />

5.3 Reporting and Closure<br />

The information gathered during the on-site evaluation is used as a basis for shaping an opinion<br />

about supplier’s capability to meet the particular quality and commercial requirements of the<br />

outsourcing organization. Once the on-site evaluation has come to an end, the audit team has to<br />

prepare an official report based on the factual observations gathered during the audit. All identified<br />

problems have to be supported with substantial evidence. The report should be submitted to the<br />

supplier shortly after the completion of the on-site evaluation. Based on the report the auditing<br />

organization may assign follow-up audits in order to revisit areas which need improvement. The<br />

supplier, on the other hand, should prepare a corrective action plan which describes the measures<br />

that will be taken to remove the observed problems together with the respective deadlines and perform<br />

the necessary quality improvements. The important aspects of the discussion presented in<br />

this section are summarized in Figure 11.<br />

6 Empirical Data<br />

The preceding sections treated the conceptual and general aspects of quality auditing. Section 4<br />

elaborated on the broad context of this discussion and derived the consequences for quality auditing<br />

resulting from the specifics of the automotive industry, while Section 5 presented in detail the<br />

technical structure of the second-party quality audit. Now that the general framework has been<br />

introduced, the remaining part of the paper deals with the analysis of Volkswagen specific empirical<br />

data and concentrates on the research questions defined in Section 2. The aim of the current section<br />

39


Audit planning<br />

• incorporate quality audit in the general quality assurance strategy<br />

• prepare an audit schedule<br />

• identify problematic areas for frequent auditing<br />

• define audit scoping<br />

Multiple Audits<br />

Initiation and preparation<br />

• determine lead auditor and the audit team<br />

• gather initial information (technical documents, legal and quality<br />

requirements, quality performance of the supplier)<br />

• prepare audit plan<br />

• schedule the quality audit with the supplier<br />

On-site evaluation<br />

• opening meeting<br />

• collect objective data on-site (tracing, corroboration, sampling)<br />

• identify problematic areas for improvement<br />

Reporting and Closure<br />

• evaluate collected evidence<br />

• prepare and present the audit report<br />

• agree upon corrective action plan<br />

• assign follow up audits<br />

Single Audit<br />

Figure 11: Stages of the second-party quality auditing process.<br />

is to introduce the types of information, which are going to be evaluated in Section 7, and to<br />

describe the processes, which generate these data.<br />

6.1 Quality Capability<br />

The quality capability scores of Volkswagen suppliers result from on-site evaluations of their production<br />

processes, i.e. second-party audits. Volkswagen quality audits are carried out according to<br />

a product group classification, which accounts for the specifics of the individual production processes<br />

and is maintained by the Volkswagen Quality Assurance. According to this classification,<br />

a particular product group organizes a number of components based on similarities in their production<br />

(e.g. light-metal alloy parts, welded parts, sensors, etc.). Due to such production process<br />

similarities, Volkswagen assumes that if a supplier has the know-how to produce a component in<br />

a specific product group, it is also capable to produce other components from the same product<br />

group. Therefore, a particular Volkswagen audit result is valid for the entire range of products<br />

within a particular product group. This means that, if a supplier is nominated for the delivery of a<br />

new component from a product group, for which it has already been audited, no new audit will be<br />

required. If the new component is part of a non-audited product group, however, the nomination<br />

will not be considered unless the respective supplier achieves a satisfactory result in a quality audit<br />

40


of the respective product group(s). The latter is very common for new suppliers, which have no<br />

previous business relationships with Volkswagen, as well as for existing Volkswagen suppliers,<br />

which extend their product ranges to new production areas.<br />

The product group classification is particularly important also for this work. It is used to divide<br />

the empirical data into subsets and account for the differences between the individual production<br />

processes, and potentially any negative influences such process differences might have on the final<br />

results of the analysis. In the general case, the effective definition of the product group classification<br />

is subject to several important considerations. A too narrow classification would require a<br />

significantly larger amount of audits and thus unnecessarily would increase the demand for auditing<br />

manpower, due to the fact that similar production processes would be part of different product<br />

groups. In case a certain product group is defined too generally, however, there is the risk that<br />

suppliers, which are good at making one of the products, will get certified to deliver other products<br />

in the same product group, but lack the necessary capability to produce them. In the latter case<br />

a supplier would be awarded a contract for new delivery without being re-audited, even though it<br />

may lack the necessary process know-how. Such situations are a potential reason to observe poor<br />

correlation between a supplier’s quality evaluation and its actual quality performance.<br />

The product group approach provides a convenient way to classify audit evaluation data and is<br />

extensively used in the analysis presented here. Nevertheless, there are still slight differences in<br />

the production cycles even for similar components in the same product group. In the end the implementation<br />

of a particular production process is company specific. For that reason Volkswagen<br />

regards the individual production processes as a combination of processing steps, e.g. painting,<br />

electric welding, injection moulding (plastics). The latter are evaluated separately during a quality<br />

audit and the overall quality capability score summarizes the individual process step evaluations.<br />

Depending on the complexity of the components (and accordingly the associated production processes)<br />

two audit evaluations of the same product group may contain different number of process<br />

steps.<br />

The quality capability metric used in this analysis is generated in a clearly defined algorithm<br />

described in Volkswagen’s Formel Q-Fähigkeit (2009). Formel Q-Fähigkeit is one of a set of documents<br />

describing the quality policy of Volkswagen, and contains among others a comprehensive<br />

supplier evaluation questionnaire, which provides a guideline for conducting quality audits. Due<br />

to the fact that Volkswagen cooperates closely with a number of national and international quality<br />

organizations such as VDA (Verband der Automobilindustrie) and IATF (International Automo-<br />

41


tive Task Force) its supplier evaluation questionnaire draws a lot of similarities with established<br />

automotive standards such as VDA 6.3 or ISO/TS 16949. The questions in this questionnaire<br />

are divided into three primary blocks, which address aspects, regarded as vital for maintaining a<br />

stable, quality-capable production process at supplier’s site. Particular areas of interest during a<br />

Volkswagen quality audit are suppliers’ capability to manage its own supply chain, the effective<br />

application of quality management throughout the entire production process, and finally customer<br />

care and service (Formel Q-Fähigkeit, 2009). In the general case the use of such a guideline is particularly<br />

useful for any organization, since it enables the organization to maintain the same quality<br />

auditing standard on an international level and helps in communicating organization’s quality requirements<br />

to its business partners.<br />

The focus of the first block of questions in the Volkswagen specific questionnaire falls upon<br />

topics regarding the supply chain management capabilities of the respective supplier. Volkswagen<br />

requires from its suppliers to regularly evaluate their own subcontractors and make sure that only<br />

certified and approved business partners are engaged in the production processes. This part of the<br />

questionnaire is very important, especially for suppliers with large amount of purchased components.<br />

As already mentioned in the discussion in Section 4.3 these are usually suppliers of complex<br />

automotive systems, which also rely on plenty of outsourcing to sustain their businesses just like<br />

the automotive OEMs themselves. Quality of the incoming materials needs to be continuously<br />

monitored and evaluated, and in case of deviations from the quality specifications the according<br />

Volkswagen supplier needs to agree upon improvement actions with its own suppliers and attend to<br />

their implementation. For that reason suppliers are required to have the necessary laboratory and<br />

measurement facilities for incoming material inspection. Volkswagen suppliers bear the responsibility<br />

to make sure that all purchased materials are sampled and released before they enter the<br />

series production. Furthermore, this part of the supplier evaluation deals with material handling<br />

and warehousing of raw materials at supplier’s site. Particularly important is to store the incoming<br />

materials under conditions, which preserve their physical properties. The materials have to be<br />

properly labeled to assure traceability and be used in a first-in-first-out manner (FIFO).<br />

The second block of questions deals with the individual production steps. Focus of this part of<br />

the supplier evaluation is personnel qualification, suitability of the processing and testing facilities<br />

and continuous improvement, as well as the appropriateness of the in-house transportation and<br />

warehousing for the specifics of the particular components (Formel Q-Fähigkeit, 2009). In this<br />

regard the responsibilities of the individual operators (process owners) must be clearly defined.<br />

Volkswagen regards it as especially important, that suppliers’ employees possess the necessary<br />

42


qualifications to perform the tasks assigned to them. This aspect is especially critical for the stable<br />

business operations in developing regions which are subject to high personnel turnover (see Section<br />

4.1). Personnel need to be regularly trained and should possess sufficient know-how about<br />

suppliers’ products, frequently occurring problems, as well as the impact of the process on the<br />

final quality. The facilities involved in the production should also be regularly controlled and their<br />

ability to achieve the required quality level of the final products should be continuously monitored<br />

and guaranteed. This is achieved through regular calibration of the machines and statistical control<br />

of the most important process parameters, e.g. temperature, pressure, moisture, time, speed, chemical<br />

composition, etc. Suppliers are also required to have the necessary testing equipment in place<br />

and make sure during the series production that the respective quality requirements are achieved.<br />

Moreover, material transportation between the individual processing stations on the work floor<br />

should be implemented in an ergonomic way and should guarantee a continuous material flow.<br />

Parts must be transported in suitable containers, which do not have negative impact on the quality<br />

of the products, i.e. prevent the transported goods from pollution and damage. To assure traceability<br />

each component has to be properly labeled. Volkswagen holds it for very important to have<br />

easily recognizable identification of components used for reference or calibration, defective parts<br />

as well as components, which need post processing. Such labeling is vital for preventing defective<br />

parts to reach the final customer and for the subsequent analysis of the capability of the overall<br />

production process. Suppliers are required to analyze the yield of the individual production steps<br />

and to define appropriate actions to minimize the scrap rates. This is an important step towards<br />

achieving continuous improvement of their overall process and accordingly lower prices of their<br />

final products.<br />

The third and final block of questions in the Volkswagen auditing questionnaire deals with<br />

customer care and customer satisfaction. Volkswagen expects from its suppliers to be responsive<br />

and react to customer complaints on short notice. In case of customer complaints the respective<br />

problems have to be analyzed as quickly as possible and corrective actions have to be defined and<br />

implemented accordingly. Suppliers have to define emergency plans for alternative ways of supply,<br />

production, and transportation, which assure the continuous delivery of high-quality components<br />

to their final customer even in the case of unexpected situations. These aspects are an essential<br />

precondition for a healthy customer-supplier business relationship which has to be sustained on<br />

the long term by any organization.<br />

During a quality audit a supplier has to provide evidence that it has considered and adequately<br />

implemented all customer requirements part of the audit questionnaire and thus assure Volkswagen<br />

43


Table 1: Evaluation points for a single question.<br />

(Source: Formel Q-Capability, 2009, p. 31)<br />

that its production processes are quality capable. Each of the questions in the individual blocks is<br />

graded on a scale from 0 to 10 points respectively (see Table 1), depending on the level to which<br />

the according production process fulfills the particular Volkswagen Group requirement. The first<br />

and third blocks of the auditing questionnaire (Sub-Contractors / Purchased Material and Customer<br />

Care / Customer Satisfaction (Service) respectively) refer to the overall production process, while<br />

the evaluation of the second block of questions (Production) is carried out separately for each<br />

individual processing step. The overall grade of each evaluation block is the percentage, which<br />

the sum of the points achieved in the individual questions represent from all possible points. For<br />

production processes which are comprised of several processing steps the evaluation result for the<br />

second block of the questionnaire (E PG ) is obtained as an average of the evaluation scores of the<br />

individual processing steps (E 1 , E 2 , . . ., E n ) (Formel Q-Fähigkeit, 2009):<br />

E PG [%] = E 1 + E 2 + . . . + E n<br />

[%] (1)<br />

n<br />

Here n is the number of processing steps. The process evaluation score of a quality audit is<br />

given in percent and is computed as an average of the evaluations obtained in the first (E Z ), second<br />

(E PG ), and third (E K ) questionnaire blocks (Formel Q-Fähigkeit, (2009)):<br />

E P [%] = E Z + E PG + E K<br />

[%] (2)<br />

3<br />

44


Apart from E P Volkswagen has defined four additional quality capability measures, calculated<br />

based on the evaluations of the questions in the block Production. These are namely: E U1 (Personnel<br />

/ Personnel Qualification), E U2 (Machinery / Equipment), E U3 (Transport / Parts Handling<br />

/ Storage / Packaging), and E U4 (Failure Analysis / Corrective Measures / Continuous Improvements).<br />

Along with the process evaluation described above a Volkswagen Group quality audit includes<br />

also a product-audit. The product audit assesses the degree of compliance of supplier’s final products<br />

with Volkswagen Group customer specific requirements and characteristics. Auditors measure<br />

on-site the key characteristics of ready-for-shipment products and any deviations from the<br />

customer requirements which are identified during the product audit have influence on the final<br />

rating of the respective supplier. Volkswagen has defined three major classifications for deviations<br />

detected during the product audit (Table 2).<br />

Each quality audit should provide a statement about the quality capability of a particular supplier.<br />

Due to the fact that this type of quality capability evaluations pursue a holistic approach<br />

and evaluate the entire production chain at a supplier’s location, it is reasonable to expect that this<br />

Table 2: Fault categorization relevant for a Volkswagen product audit.<br />

(Source: Formel Q-Capability, 2009, p. 27)<br />

45


quality management tool (if carried out properly) is able to detect the individual quality risks down<br />

the production chain and therefore give a good predictor for supplier’s quality.<br />

Volkswagen suppliers receive a letter-encoded quality rating – A, B, or C – depending on the<br />

results of their process and product evaluations. These ratings are then used in the corporate sourcing<br />

process as input for sourcing decisions. The general rules for supplier rating and the meanings<br />

of the individual rating categories are listed in Table 3. Quality rating is governed by the so-called<br />

hurdle principle (from the German Hürdenprinzip), however, and a supplier could receive a worse<br />

quality rating, even though its process evaluation score covers the basic requirements for a higher<br />

rating. A number of the requirements listed in the audit questionnaire are regarded by Volkswagen<br />

as especially critical for the overall quality capability of the production process and therefore, in<br />

case a supplier fails to adequately fulfill them, its overall quality rating is downgraded. This concept<br />

makes the evaluation procedure especially flexible in the cases of serious deviations from<br />

the quality requirements, as it gives the auditors the possibility to intervene and raise awareness<br />

about potential problems by downgrading the supplier production process. The according questions<br />

which evaluate the critical quality requirements are marked as *-questions (star-questions<br />

Table 3: Rules for supplier letter-encoded rating.<br />

(Source: Formel Q-Capability, 2009, p. 35)<br />

46


from the German Sternchenfragen). Thus for example, a supplier could get a B quality rating, even<br />

though its process evaluation score is greater than 91% (see Table 3). Common reasons for such<br />

type of downgrading are deficiencies identified during the process audit such as a missing certification<br />

of supplier’s quality management system according to the VDA 6.1 or ISO/TS 16949 quality<br />

standards, a question in the audit questionnaire evaluated with 0 points or a * question evaluated<br />

with 4 points, as well as an evaluation score for one of the individual components (E Z , E PG , or E K )<br />

smaller than 80%. Reason for downgrading a supplier’s quality rating from A to B could also be<br />

a B-type or a systematic C-type deviation identified during the product audit (Formel Q-Fähigkeit,<br />

2009). That is why there is difference between an A-rated supplier and a B-rated supplier with an<br />

A process evaluation score (E P ≥ 92%).<br />

For more serious deviations from the quality requirements a supplier’s quality rating would be<br />

downgraded to C despite a process quality evaluation score greater than 81%. Such are cases in<br />

which a supplier is not able to meet certain project deadlines and implement the defined improvement<br />

actions before start of series production (SOP). A C downgrading would follow also in cases<br />

in which one or more of the individual evaluation components (E Z , a single processing step E 1 ,<br />

E 2 , . . . , E n , E PG , E K , E U1 , E U2 , or E U3 ) are smaller than 70% or a *-question is evaluated with 0<br />

points (Formel Q-Fähigkeit, 2009). Furthermore, if during the product audit an A-type or a systematic<br />

B-type deviation is detected, the supplier will be C-downgraded, too. Mismatches between<br />

the quality evaluation score and the quality rating of downgraded suppliers (B with E P ≥ 92% or<br />

C with E P ≥ 82%) can influence negatively the correlation between quality capability and quality<br />

performance and were therefore regarded in the calculations in the later stages of the project.<br />

In the general case Volkswagen awards delivery contracts only to suppliers with an A or a B<br />

quality rating, as suppliers with an A rating are usually preferred (Figure 12). Suppliers with a<br />

C quality rating are not considered in the sourcing process. In the empirical data analyzed here,<br />

however, there are a few cases of C-rated suppliers which deliver to Volkswagen. Such cases result<br />

due to the fact that suppliers’ rating can be downgraded to C also post factum based on poor quality<br />

performance in the series delivery. Subsequently the status of the Volkswagen business relationship<br />

with such suppliers is set to ”business-on-hold”. This means that the latter can still deliver parts<br />

for the current projects, but will not be considered for any new projects unless they manage to<br />

improve their production process and receive a positive audit evaluation. A part of the contractual<br />

agreement between Volkswagen and its business partners requires from every Volkswagen Group<br />

47


supplier to achieve an A rating (from German ”Ziel-A Vereinbarung” or ”Target A Agreement”).<br />

B- and respectively C-rated suppliers will be therefore subsequently audited, until they achieve this<br />

target. Very often in practice due to limited auditing resources, however, A-rated and sometimes<br />

even B rated suppliers will not be audited for considerably long periods, as long as their products<br />

aren’t subject to any serious quality related problems. In light of the sampling discussion presented<br />

in Section 3 this is quite undesirable. Failing to follow the developments of the quality capability<br />

of the production processes could lead eventually to the untimely detection of serious production<br />

problems down the supply chain. On the other hand, with respect to the analysis presented in this<br />

paper – old evaluations, which do not correspond to the actual quality capability of the respective<br />

suppliers, pose a significant challenge. This is an especially important factor for the subsequent<br />

calculations and is therefore discussed once again in greater detail in Section 7.2.2 below.<br />

6.2 Quality Performance<br />

After Section 6.1 described the quality capability records, the current section introduces suppliers’<br />

quality performance information – the second important type of empirical data, which is necessary<br />

in order to perform the correlation studies suggested in Section 3 as a possible way to give an<br />

answer to the primary research question of this paper. Quality performance data describes supplier-<br />

Controlling<br />

Procurement<br />

Presenting<br />

Legal Entity<br />

Buyer<br />

Head of<br />

Procurement<br />

(CSC)<br />

Commodity<br />

Manager<br />

(VW Group<br />

Procurement)<br />

Quality<br />

Assurance<br />

(Supplier Audit)<br />

Logistics<br />

Volkswagen<br />

Corporate Sourcing<br />

Committee (CSC)<br />

collective decision<br />

Global<br />

Sourcing VW<br />

Forward<br />

Sourcing VW<br />

Research &<br />

Development<br />

In-house<br />

Production<br />

Local<br />

Purchasing<br />

Teams<br />

Procurement of<br />

the Brands<br />

Right to veto<br />

Figure 12: Participants in Volkswagen’s Corporate Sourcing Committee (CSC). An unsatisfactory<br />

supplier evaluation in a quality audit results into a veto in the CSC process.<br />

(Source: Volkswagen Internal Reports, 2012)<br />

48


induced problems originating in the production halls of Volkswagen during series production. The<br />

empirical quality performance records are organized according to a categorization, which will<br />

hereafter be referred to as material groups (from the German term Werkstoffgruppen). The material<br />

group classification is maintained by Volkswagen Procurement and is used not only for recording<br />

quality performance of the respective Volkswagen suppliers, but also in the sourcing process to<br />

classify information regarding their contracts with Volkswagen.<br />

Unlike the product group classification, the purpose of material groups is not to account for<br />

the specifics of parts’ manufacturing processes. Rather this type of classification is applicationoriented,<br />

i.e. material groups include products which have similar application, even though in<br />

certain cases they might be manufactured through significantly different production processes.<br />

This type of classification is particularly useful for the sourcing process. One good example for<br />

the differences between the two types of classifications is the material group of fuel tanks (material<br />

group – 0094). Components, part of this material group, have two major variants – synthetic<br />

material fuel tank assembly and metal fuel tank assembly (Figure 13). Despite the obvious differences<br />

between the two types of production processes involved in parts’ manufacturing (one deals<br />

with plastic components, and the other with metal components), the products are categorized in<br />

the same material group, because they are used for the same purpose – to store fuel. From the<br />

viewpoint of the product group classification, however, the two variants of fuel tanks fall in two<br />

completely different product groups – Assembly Blow Moulded Parts (Zsb. Kunststoffblasteile –<br />

2122) and Assembly Metal Parts (welded) (Zsb. Metallteile (geschweisst) – 1361) respectively.<br />

Audits of suppliers of fuel tanks are therefore carried out according to the latter two classifications<br />

(by auditors from different audit divisions), while their quality performance data is collected under<br />

the same material group – 0094.<br />

Product Group: 1361<br />

Assy. Metal Parts<br />

(welded)<br />

Product Group: 2122<br />

Assy. Blow Moulded<br />

Parts<br />

Material Group: 0094<br />

Fuel Tanks<br />

Product: Fuel Tank<br />

Material: Metal<br />

Product group: 1361<br />

Material group: 0094<br />

Product: Fuel Tank<br />

Material: Synthetic<br />

Product group: 2122<br />

Material group: 0094<br />

Figure 13: Products with the same application (fuel tank) are classified in the same material<br />

group. If the production processes of the respective products differ (metal welded part vs. blow<br />

moulded part), they are classified in different product groups.<br />

49


There are a total of four quality performance indicators available in the analyzed empirical<br />

data. These are namely ppm-values, production-line interferences/failures or also HSF (from the<br />

German Hallenstörfälle), direct quality performance (direkte Leistung) and indirect performance<br />

(indirekte Leistung). The ppm quality indicator (defective parts per million) was already mentioned<br />

above and is one of the most commonly used quality performance measures not only in the<br />

automotive industry but also in many other production industries. It describes deviations of the<br />

characteristics of the delivered components from the according technical specifications (physical,<br />

haptic, performance, etc. properties). This is probably the type of quality performance information<br />

which is most closely related to the manufacturing quality capability of a particular production<br />

process and is also (the only one) used in the analyses by Stroescu-Dabu (2008) and Hadzhiev<br />

(2009). The definition of ppm is as follows:<br />

ppm =<br />

number of delivered defective components<br />

total number of delivered components<br />

× 1.000.000 (3)<br />

HSF is another relevant quality performance metric. It is of more general character than ppm<br />

and describes incidents in which a supplier’s products or services have negative influence on the<br />

overall production process. HSF records result from deliveries of defective components (in which<br />

cases the respective supplier would receive ppm as well), but can also be induced by incidents<br />

which are not necessarily related to any defects of the delivered components. The latter situations<br />

would increase supplier’s HSF record, but would not generate any ppm. Examples of HSF, which<br />

do not result in ppm, are cases in which a supplier delivers the wrong type of components or the<br />

delivered components are not properly labeled. Such cases trigger sorting campaigns and disturb<br />

the continuity of Volkswagen’s internal processes. The time overhead which the processing of a<br />

particular supplier-caused problem incurs for Volkswagen is measured by suppliers’ direct quality<br />

performance in minutes. The direct performance of the suppliers together with precisely defined<br />

costs per unit time is then used by Volkswagen to calculate the total incurred costs of a particular<br />

problem. In case the respective problem has also a monetary dimension the according amount<br />

enters the records as the indirect performance of the supplier in EUR. This quality performance<br />

metric is probably not very suitable for measuring supplier performance, however, since it is dependent<br />

on the present price levels and its consistency is subject to variation over time influenced<br />

by varying prices, exchange rates and inflation. This supplier performance metric is used primarily<br />

for charge-back purposes.<br />

50


While ppm and HSF are two indicators which are consistently recorded in the empirical data,<br />

very few of the available supplier records contain information also about their direct and indirect<br />

performance (around 15% and 2% respectively of all available records for the time period considered<br />

in the analysis). The lack of such information is surprising, since for every single HSF the<br />

supplier receives recourse with the costs required by Volkswagen to process the according problem,<br />

i.e. for every HSF the supplier should also have a direct performance record in minutes. At<br />

this point, it is probably important to mention that the empirical data analyzed here was not obtained<br />

directly from the system, which is used to collect the respective performance information<br />

(KPM-Halle), rather from a secondary SAP-based database (Business Objects), which is used for<br />

evaluation purposes and provides the available information in a format which is convenient for<br />

analysis with statistical software. The reasons why these metrics are not consistently present in the<br />

second system probably lie in the fact that they are almost exclusively used for supplier recourse<br />

purposes, and are hardly used in internal Volkswagen quality reports for tracking the development<br />

of suppliers’ quality performance over time. The fragmented information available about suppliers’<br />

direct performance and indirect performance makes these two quality performance metrics<br />

unreliable for the purposes of this analysis and therefore they are excluded from the subsequent<br />

discussion.<br />

The process of generating the quality performance metrics used in this analysis is significantly<br />

more complex than the way quality capability scores are obtained. This is due to the large amount<br />

of individuals involved in the assessment of suppliers’ quality performance. Even though part<br />

of the delivered components is regularly sampled for defects through incoming inspection, a major<br />

portion of the defect detection at Volkswagen happens at its assembly lines. Practically any<br />

Volkswagen employee involved in the assembly process can detect and report a problem. The<br />

detected problem is documented and the affected batch of components is sent for analysis to the<br />

line rejects handling center (in German Regresszentrum) of the affected production facility. There<br />

the parts are sorted out and all components, which are not subject to the encountered problem,<br />

are then returned to the production line for assembly. This is also where the data collection takes<br />

place. Quality performance records enter Volkswagen’s database KPM-Halle. Every instance in<br />

KPM-Halle represents a single HSF and includes a detailed description of the reported problem,<br />

identification codes of the affected parts, the type and number of the affected components (not provided<br />

for problems unrelated to deviations from the technical specifications of the components),<br />

general identification information of the respective supplier, as well as the time overhead for recourse<br />

purposes.<br />

51


Currently, Volkswagen works on a new concept called ”Quality Filter for Purchased Components”<br />

(from German Warenfilter), which aims at improving the work flow in Volkswagen’s<br />

production facilities. A particular disadvantage of the new concept from the analytical point of<br />

view, however, is that neither ppm nor HSF will enter the quality records of suppliers included in<br />

the quality filter program. Quality filters are external warehouses, which are located in close proximity<br />

to Volkswagen’s production locations and whose function is to perform a 100% incoming<br />

inspection for components with a very large amount of defects. The idea behind the quality filter<br />

is that in the future suppliers which have poor quality performance in the series production will<br />

not be allowed to deliver their components directly to the respective Volkswagen plants. Instead<br />

100% of their deliveries will be first examined in the quality filters and only functional parts will<br />

be then transported to the Volkswagen plants. Suppliers will then have to deliver through the quality<br />

filter until their quality performance reaches satisfactory levels and they are allowed to deliver<br />

again directly to Volkswagen’s production facilities. The employment of quality filters will have a<br />

positive impact on the stability of Volkswagen’s production process and will reduce the number of<br />

line rejects, due to the fact that less defective components will reach the assembly lines.<br />

Even though the process for recording suppliers’ quality performance metrics is clearly structured,<br />

as already mentioned in the previous sections, the meaning of the individual quality performance<br />

indicators is variable and is influenced by the complexity of the delivered components as<br />

well as the according delivery amounts. If a certain problem is caused by a sub-supplier, for example,<br />

no ppm information is included in the quality performance record of the direct Volkswagen<br />

supplier. Rather the latter is held liable only for the incurred costs (the direct supplier receives a<br />

HSF nevertheless). For that reason suppliers of relatively complex components with several subsuppliers<br />

will usually have smaller amounts of ppm than suppliers of simpler parts. Further, in<br />

certain cases there is such a large variety of a particular type of assembly products that instead<br />

of using a separate part number for the individual component variants, Volkswagen describes the<br />

delivered units in its systems as an aggregation of the part numbers of the sub-components used in<br />

their assembly. Good examples for such types of components are axles and seats. Whenever there<br />

is a problem with such products, however, only the part numbers of the defective assembly subcomponents<br />

enter the quality performance record of the respective supplier. Thus the according<br />

ppm values are artificially reduced. For these reasons ppm is not always suitable for performance<br />

comparison especially between suppliers which deliver products with significantly different complexity.<br />

Such comparisons would not necessarily adequately depict the real situation and could<br />

potentially obscure important trends in the empirical data. In the analysis a possible workaround<br />

52


for this problem is to define classes of complexity and look at correlations only within the respective<br />

classes. A good starting point is to use the material group classification as basis for comparison<br />

and avoid comparing records, which are classified into different material groups.<br />

The specifics of Volkswagen ppm records described here are not considered in the analytical<br />

studies by Stroescu-Dabu (2008) and Hadzhiev (2009). Therefore, a potential bias of their results<br />

is not excluded, due to the heterogeneity of the actual meaning of the ppm quality performance<br />

indicator. This holds true especially for the more general, industry-based classification of empirical<br />

data. Such bias could even be a possible reason, which partially explains the unsatisfactory<br />

analytical results for the chemical and metal industries observed in these studies. This statement is<br />

supported by the results observed by Hadzhiev (2009). His analysis shows that for a more detailed<br />

supplier classification, which would be expected to increase the consistency between the individual<br />

ppm records within a certain analytical supplier group, particular supplier groups also from the<br />

metal industry such as suppliers of metal profiles indeed show better consistency between the actual<br />

quality performance and the evaluation scores of Volkswagen suppliers. At this point it is also<br />

important to mention, that assembly units from the electric industry such as navigation systems,<br />

radios, and control electronics, are described with their own part numbers. Therefore ppm records<br />

for electric suppliers are expected to be with relatively good consistency.<br />

The other quality performance metric in the empirical data available for this analysis is HSF.<br />

HSFs are of summarizing character and their definition is independent of the total number of<br />

rejected parts in a particular defective batch. Thus two independent production line rejects can<br />

concern significantly different amount of defective parts, but they will be equal in terms of HSF.<br />

Companies, which deliver components in large batches such as screws or nuts, normally would<br />

have a relatively low number of HSFs even in cases when their ppm records are high. On the other<br />

hand, companies which deliver parts in smaller batches, such as assembly units like seats, are more<br />

likely to have a relatively large number of HSFs, even if their ppm record remains low. In other<br />

words, if the same relative number of defective parts is delivered in several smaller batches the<br />

resulting number of HSFs will be significantly higher as compared to the case, when components<br />

are delivered in fewer, larger batches.<br />

One way to avoid the pitfalls posed by the diverse character of empirical data – both quality<br />

performance records and quality capability evaluation scores – is to split records into a number<br />

of analytical groups, which contain only suppliers with comparable quality indicators. Such classification<br />

should not merely take into account the more general industry-based classification of<br />

53


products (electrical, metal, and chemical parts), but has to also take into account the size of deliveries,<br />

the manufacturing processes involved, as well as the product complexity. Thus, the quality<br />

performance results of suppliers within a certain analytical group will be comparable to one another<br />

based on ppm or HSF accordingly as well as on suppliers’ quality evaluation scores. On the<br />

other hand, comparisons between the records of suppliers in different analytical groups have to be<br />

performed with caution due to the potential differences in the character of the according empirical<br />

data described above.<br />

6.3 Automation of the Data Processing<br />

In order to conduct the analysis according to such detailed criteria and reach any generalizable<br />

conclusions, it is particularly important to consider a representative data sample. Inevitably, given<br />

the large amounts of empirical data, a significant part of the data processing has to be performed<br />

in an automated manner. A significant obstacle for automation of the analysis turned out to be the<br />

structure of the internal Volkswagen databases, which are optimized for the needs of the individual<br />

departments (Quality Assurance and Procurement respectively), and therefore do not contain the<br />

according information in the format required for the current analysis. In most of the cases each<br />

Volkswagen department uses a separate system which is specifically tailored for its own needs and<br />

in many cases does not provide the data in a format suitable for analysis, other than the particular<br />

demands of the respective department. The fact that data required for the analysis presented here<br />

stem from several different systems is therefore related to a number of compatibility issues, which<br />

obstruct the automated data processing.<br />

The challenges faced during the project are expressed within the following. Suppliers’ quality<br />

capability information is stored in the database ISQAD maintained by the Volkswagen Quality<br />

Assurance department. The backbone of ISQAD is an Oracle database accessed via a browserbased<br />

user interface. The system provides access to the records of individual suppliers and all<br />

relevant documents (which is what is required in auditors’ daily routine), but the only summarizing<br />

information, which is accessible over the user interface, is a list with the latest audit evaluations<br />

of the suppliers – supplier catalogue (from the German Lieferantenkatalog). The list includes<br />

the overall supplier rating (A, B, or C) for each of the evaluated product groups, together with the<br />

overall quality evaluation scores (E P ) of the individual suppliers in percent. The supplier catalogue<br />

does not provide any information about previous audit results at a particular location, nor any<br />

details about the individual components of a particular evaluation such as the evaluated process<br />

54


steps as well as the resulting partial evaluations (E 1 , E 2 , . . ., E n ). In general such information is<br />

essential in providing an idea about the complexity of the evaluated processes as well as about the<br />

strengths and weaknesses of suppliers’ production.<br />

At this point it is important to mention, however, that such information is available after all,<br />

but is not systematized in a structured list, and is rather dispersed in the individual audit reports.<br />

Due to the specifics of the Volkswagen internal process, audit reports are saved in the system in<br />

the form of an attachment, which in most of the cases is a scanned copy of the original report,<br />

stored in paper form in Volkswagen’s archive . This form of storage is a particular obstacle for<br />

an automated data processing and results into a serious manual processing overhead. Due to the<br />

fact that a great deal of the information had to be extracted manually from the records, it was<br />

not possible to include in the analysis a substantial amount of the available more detailed quality<br />

evaluation data in a sufficiently large scale.<br />

Based on these experiences already here the first important conclusion from this work can be<br />

made. The supplier evaluation process at Volkswagen generates considerable amount of field information<br />

which is an especially valuable input for statistical analysis of Volkswagen’s supplier<br />

management process. Currently this information is stored in a form, which makes it particularly<br />

difficult to access for large generalizable studies (audit reports in paper form with scanned<br />

copies in the main electronic database). However, making the generated information available in<br />

an electronic form may be achieved relatively straight forward. A positive aspect of the problem<br />

is the fact that the original audit reports are created in an electronic form (Microsoft Excel forms),<br />

which means that ideally the relevant information can be very easily exported into the main Oracle<br />

database (ISQAD). The transfer can be completely automated and will require minimal amount<br />

of time. This improvement will increase the efficiency of the old procedure without compromising<br />

the quality of the available audit records. In addition to the currently available data, the new<br />

procedure would make the rest of important information in the audit reports easy to access and<br />

analyze.<br />

One further challenge is posed by the fact that even though quality performance data are accessible<br />

over an SAP software tool (Business Objects), used for quarterly and yearly reports, a<br />

substantial amount of automated post processing was required here as well. The information included<br />

in the analysis was processed using a Microsoft Excel-based VBA 9 software tool, developed<br />

by the author especially for this purpose.<br />

9 Visual Basic for Applications (a programming language)<br />

55


In addition to the data processing obstacles described above, the following two sections describe<br />

additional challenges and their possible solutions, which came up during the data analysis.<br />

6.3.1 Matching Quality Capability and Quality Performance<br />

In addition to the more trivial problems of data accessibility introduced above there is a more<br />

profound problem: the use of two different categorization types to organize quality capability<br />

(process-oriented product groups) and quality performance (application-oriented material groups)<br />

data. The two categorization types were already introduced earlier in this chapter. This particular<br />

difficulty is rather on the conceptual level than on the practical implementation of the supporting<br />

databases. Usually product groups are more generally defined than material groups, since a particular<br />

manufacturing process could be used to produce components with quite different applications<br />

- e.g. moulded plastic parts for interior and exterior. Therefore, in the general case a product group<br />

is expected to encompass components from several material groups, while a single material group<br />

would encompass products from a single product group. However, this is not always the case. The<br />

manufacturing of a particular component could include a number of very diverse processing steps.<br />

One particular example are electric components such as e.g. the material group 0043 – Exterior<br />

Lights (Außenleuchten), comprised of metal, plastic and electrical subcomponents part of several<br />

different product groups.<br />

Due to the different logic of the two categorizations there is no clearly defined relations matrix<br />

between them. In other words, in a great part of the cases one cannot instantly distinguish<br />

which one of the audit results for a certain supplier refers to the manufacturing process used to<br />

produce a particular type of components present on supplier’s quality performance record. The<br />

lack of product-group-material-group relation matrix makes it difficult to distinguish whether the<br />

processes used to manufacture two components from the same material group are similar or not<br />

and represents a significant challenge for the automation of the subsequent analysis. The only alternative<br />

to perform the desired correlations was to manually match quality performance and quality<br />

capability records, which due to the high processing overhead substantially limited the scale of the<br />

analysis.<br />

At this point it is necessary to mention that a tentative solution to the problem has already been<br />

implemented at Volkswagen and is currently being used to upload new audit data. However, due to<br />

the limited time window not enough empirical were data generated with the new procedure till the<br />

end of this project, which data could serve as a sufficient base for statistical analysis. Nevertheless,<br />

56


this improvement is of particular benefit for any future analyses on the topic.<br />

6.3.2 Supplier Identification<br />

The problem described in the previous section was partially mitigated by the help of the supplier<br />

identification systems in use at Volkswagen, which served as reference to narrow down the manual<br />

data queries. Volkswagen Group uses two code systems to identify its suppliers. These are namely<br />

the Volkswagen internal KRIAS identification system (from the German Kreditoren-Informationsund<br />

Abrechnungssystem or system for supplier identification and accounting) and Dun & Bradstreet’s<br />

international numbering system – D-U-N-S R○ (Data Universal Numbering System).<br />

The KRIAS identification system is primarily used for billing purposes and is managed internally<br />

by Volkswagen. KRIAS numbers are assigned to Volkswagen suppliers individually for every<br />

supplier production location. This means that if a given supplier manufactures its products at two<br />

separate manufacturing sites and delivers its production to the same Volkswagen Group receiving<br />

plant, each of supplier’s production facilities will be assigned with a distinct KRIAS number. The<br />

major disadvantage of KRIAS numbers, however, is the fact that they are assigned autonomously<br />

by the individual companies, members of the Volkswagen Group. Thus, the same supplier location<br />

(and respectively the same production process) is very often associated with several KRIAS<br />

numbers in the cases, in which the same supplier delivers components to different subsidiaries of<br />

the Volkswagen Group. This makes the KRIAS number not very suitable for record identification.<br />

Nevertheless, some of the supplier evaluation records are still associated to KRIAS numbers only,<br />

due to the fact that the according suppliers do not possess a D-U-N-S R○ number. Such records<br />

were excluded from the subsequent analysis.<br />

A more suitable alternative to the KRIAS number is the second identification system in use at<br />

Volkswagen – the D-U-N-S R○ . It was developed by Dun & Bradstreet (D&B) and first introduced<br />

in 1962 (Dun & Bradstreet, 2012). The D-U-N-S R○ number is a freely distributed number for<br />

unique global company identification and is currently used by more than 100 million companies<br />

worldwide (Dun & Bradstreet, 2012). The major advantage of the D-U-N-S R○ identification in<br />

comparison to KRIAS is that it is business unit specific, meaning that every single legal business<br />

unit has its own, unique D-U-N-S R○ number. Generally speaking a single D-U-N-S R○ number is<br />

usually associated with one or several KRIAS numbers. On the other hand, a KRIAS number is<br />

most commonly associated with a single D-U-N-S R○ number. The fact that a D-U-N-S R○ number<br />

provides unique business identification (a single number used worldwide), makes it more suitable<br />

57


than the KRIAS number for managing operational data. This is also the reason why for the parts<br />

of the analysis presented within the following sections the D-U-N-S R○ number was the preferred<br />

identification and was used to more easily determine which quality capability record is relevant for<br />

a particular quality performance entry and vice versa.<br />

At this point it is important to mention, however, that even though D-U-N-S R○ numbers offer<br />

better global identification, the use of the D-U-N-S R○ identification system is associated with<br />

one particular drawback. D-U-N-S R○ numbers, unlike KRIAS numbers, are not managed by<br />

Volkswagen itself, rather by the Dun & Bradstreet organization, making it difficult for Volkswagen<br />

to track changes of the D-U-N-S R○ record of a certain supplier location. This state of affairs poses<br />

serious challenges regarding information consistency within the individual Volkswagen databases.<br />

Despite this disadvantage, D-U-N-S R○ is still the preferred identification for the purposes of this<br />

analysis.<br />

7 Results and Discussion<br />

Section 6 introduced the different types of empirical data, which were subject to a number of<br />

statistical evaluations aiming to contribute to the answer of the research questions introduced in<br />

Section 2. After part of the technical aspects of working with the data were also covered in the<br />

previous section, now it is time to present the results of the conducted evaluations and discuss the<br />

insights gained from the observations. This is the aim of the current chapter.<br />

7.1 State and Quality of the Available Empirical Data<br />

The part of the project presented in this section provides a comprehensive assessment of the composition<br />

of the empirical data analyzed later in this paper. This step was motivated by the fact<br />

that the relevance for quality auditing of any insights gained from the subsequent data analysis are<br />

strongly influenced by how accurately and how thoroughly the recorded data describe the actual<br />

processes. Partial records do not allow to explore the process interactions to their full extent and<br />

therefore limit the depth of the analysis. This part of the analysis has also high practical value. The<br />

findings of this section can help improve Volkswagen’s data management. Objective operational<br />

data is essential for decision making and completeness of the records is especially important for the<br />

management. Any incomplete data records are of little use and are merely a source of additional<br />

58


expenses for the organization (costs to obtain and preserve the data, locked resources and time,<br />

financial consequences of misguided decisions etc.). Therefore it is important on the one hand to<br />

identify and eliminate such records and on the other to improve data collection.<br />

This section includes a set of cross-sectional as well as longitudinal evaluations, whose goal<br />

is to identify incomplete records as well as to assess the behavior of data quality over time and<br />

space. Due to the large overhead to compensate for any incomplete records (use other ways to<br />

get the missing information) and since this is not the main emphasis of this work, all incomplete<br />

records were excluded from the subsequent phases of this study. For quality capability data these<br />

are records, which lack e.g. a D-U-N-S R○ number or have an inconsistent quality capability score<br />

(e.g. an A-supplier with a fulfillment level E P < 90% or 92% respectively). On the other hand,<br />

incomplete quality performance records lack one or more important statistical quantities such as<br />

the amount of delivered components, the respective material group classification, or a D-U-N-S R○<br />

number.<br />

The result of the analysis of quality capability data is presented in Figure 14a. Each quality<br />

capability entry represents the quality audit evaluation of a single product group at a particular<br />

supplier production facility. Thus, a quality audit of a certain supplier, which manufactures components<br />

from two different product groups at the same production site, would generate two separate<br />

entries in the statistic – the according evaluations of each of the product groups at this location.<br />

The results of the evaluation show that 9% of the records have an incomplete quality capability<br />

evaluation score (Figure 14a). In these cases the percent score of the according records is subject<br />

to system input errors and is not entered correctly in the database. In most of the cases it is simply<br />

missing, while in the rest the evaluation percent value does not correspond to the quality capability<br />

rating (A or B) of the respective supplier (most probably a typo). Additional 8% of the quality<br />

capability records have no D-U-N-S R○ number associated to them. It is necessary to mention, however,<br />

that the supplier catalogue (used as basis for the statistics) includes quality capability records<br />

over a large time period and most of the identified incomplete records refer to suppliers, which<br />

are no longer active or have never been assigned a contract. Since such cases concern particularly<br />

old evaluations, which are not considered in suppliers’ rating, they also have little influence on<br />

the quality assurance process of Volkswagen. For the analysis presented in this paper it is only<br />

meaningful to concentrate on the records of active suppliers, therefore incomplete records of the<br />

former two types of suppliers are not of interest for this study and have been excluded.<br />

The number of evaluated quality performance records was significantly larger than the amount<br />

59


9%<br />

8%<br />

1,1% 1,3% 0,9%<br />

1,3%<br />

83%<br />

Records with incomplete QC score<br />

QC records without a DUNS-Nr.<br />

Complete QC records<br />

96%<br />

Missing Material Group Information<br />

Missing D&B DUNSâ<br />

Missing Delivery Quantity<br />

Operational Material<br />

Complete Records<br />

(a) Quality of the quality capability data.<br />

(b) Quality of the quality performance data.<br />

Figure 14: Quality of the available empirical data.<br />

Note that in the case of quality performance records the individual percentages sum up to more than 100% because<br />

part of the evaluated records miss more than one type of relevant information.<br />

of quality capability evaluations. The records were generated on a monthly basis and a single<br />

record includes information about components from a particular material group, which have been<br />

delivered from a single supplier production location to a single Volkswagen plant. Slightly above<br />

1% of all records contain incomplete material group information (see Figure 14b). 1.3% of all<br />

quality performance records do not contain D-U-N-S R○ information, and additional 0.8% lack information<br />

about the number of delivered components. 1.3% of the records contain information<br />

about operational material (from German Betriebsmaterial), which is not relevant for the analysis.<br />

The latter are supplies, which are not used in the Volkswagen Group production processes (do not<br />

end up in the final products), and are auxiliary materials such as protective wear for the employees,<br />

cleaning supplies, etc. All incomplete quality perfomance records were excluded from the<br />

analysis, presented in the subsequent chapters.<br />

To narrow down the sources of particular data non-integrities, the quality performance information<br />

was divided into several groups according to the location of the Volkswagen production<br />

plants, which reported the data. This step was motivated by the discussion on the trends of the<br />

automotive industry in the previous sections. Automotive production is spread over a number<br />

of regions which differ substantially in their manufacturing history and level of experience with<br />

60


20%<br />

9%<br />

57%<br />

7% 2,4%<br />

2,2%<br />

1,9%<br />

1,3%<br />

0,4%<br />

0,1%<br />

Germany<br />

Spain<br />

England<br />

Mexico<br />

India<br />

Czech Republic<br />

Brazil<br />

Belgium<br />

Argentina<br />

Russia<br />

Figure 15: Amount of quality capability records, reported by the individual Volkswagen production<br />

facilities sorted by region. The presented numbers are monthly averages over the period January,<br />

2008 – December, 2010.<br />

modern production management methods. It is therefore anticipated that historical and cultural<br />

differences influence quality awareness in these regions. As consequence this leads to potentially<br />

different perception of the importance of operational data and ultimately different data quality.<br />

Volkswagen Group has concentrated its production capacities into ten different regions – Germany<br />

(a total of 33 independent production units are located in this region), Argentina (2), Belgium (1),<br />

Brazil (4), Czech Republic (8), England (1), Mexico (1), Russia (1), India (1), and Spain (5). Other<br />

Volkswagen Group production facilities such as the ones in USA and China are not included in this<br />

analysis either due to the fact that they were not active throughout the evaluated time period or because<br />

the relevant performance information from the respective regions was not accessible through<br />

Volkswagen’s databases, which were available for this analysis.<br />

The amount of quality performance records generated by the individual regions is significantly<br />

different (see Figure 15), provided the uneven distribution of production capacities. As expected<br />

Germany contributed the largest number of records – comprising more than 56% of all records.<br />

Other regions, which generated particularly large amounts of quality performance information,<br />

are the Czech Republic (20% of all records) and Spain (9%). The available empirical data shows<br />

regional variations not only of the amount of incomplete records, but also of the proportion of<br />

factors, which influence data integrity (see Figure 16). However, the overall integrity of quality<br />

performance data, generated in the three regions 10 mentioned above, is exceptionally good and the<br />

10 These are also among the regions, in which Volkswagen has been present the longest and has established stable<br />

business processes. On the other hand, regions, which show certain deficits in data’s integrity, are mostly among the<br />

regions, in which Volkswagen has relatively small amount of experience.<br />

61


1,1% 1,4% 0,9% 1,3%<br />

0,4% 0,3% 0,2% 0,0%<br />

0,7% 0,8%<br />

0,4% 0,2%<br />

0,3% 1,1% 0,6% 0,0%<br />

0,5% 0,1% 0,9% 2,2%<br />

3,0%<br />

2,0%<br />

1,9%<br />

0,1%<br />

99%<br />

Region 2 Region 4 Region 7 Region 6 Region 8<br />

3,4% 4,0%1,0%<br />

0,1%<br />

98%<br />

0,0% 1,8% 6,3% 0,0%<br />

98%<br />

14%<br />

5,3%<br />

1,5%<br />

0,0%<br />

97%<br />

0,3%<br />

32%<br />

94%<br />

6,8%<br />

38%<br />

96%<br />

Worldwide<br />

0,2%<br />

92%<br />

92%<br />

82%<br />

68%<br />

0,0%<br />

56%<br />

0,2%<br />

0,2%<br />

Region 3 Region 9 Region 5 Region 10 Region 1<br />

Missing Material Group Info Missing Delivery Quantity Complete Records<br />

Missing DUNS Number<br />

Operational Material<br />

Figure 16: Quality of the supplier performance data reported by the individual Volkswagen production<br />

facilities. The data are sorted according to region. The numbers under each pie chart<br />

represent the average monthly amount of records reported by the according region over the period<br />

January, 2008 – December, 2010. Note that there are cases in which the individual percentages<br />

sum up to more than 100%. This is due to the fact that part of the evaluated records are missing<br />

more than one type of relevant information. The percentages for the amount of complete records<br />

in all cases are exact and can be used to deduce the overall amount of incomplete records.<br />

total amount of incomplete records remain below the overall average of 4.3%. This fact is very<br />

positive considering that recods coming from these regions comprise more than 85% of all monthly<br />

records. The observed differences between the quality of data records in the different regions show<br />

that splitting the records into regional datasets was indeed very meaningful.<br />

Note that not only the amount, but also the nature of data inconsistencies in the individual<br />

regions varies significantly. Thus for example, while almost 90% of all incomplete records in<br />

Region 1 are due to missing D-U-N-S R○ supplier identification, D-U-N-S R○ related data fragmentation<br />

is responsible for just below 30% of all problematic cases in Region 5. By contrast, almost<br />

80% of all incomplete records from this region are subject to incomplete material group information<br />

(some of the records are subject to both). In Region 6 60% of the incomplete data entries are<br />

subject to missing information about the amounts of delivered components. Significant variations<br />

in the extent to which certain factors influence data consistency, were identified not only on the regional,<br />

but also on the level of individual production units. On the one hand, such information can<br />

be quite useful to address the sources of differences and accordingly improve the coherence of the<br />

data collection process at different Volkswagen locations. This will ultimately improve the overall<br />

data consistency in the databases. On the other hand, the influence of the incomplete records on<br />

the subsequent steps of the analysis is limited only to reducing the available base of empirical data,<br />

since as already mentioned previously they are excluded from the calculations in the following<br />

62


sections. However, this is not particularly critical for the overall analysis since they represent less<br />

than 5% of the total available records (Figure 16).<br />

The numbers in Figure 16 are an average over the entire three-year time period covered by<br />

the analysis (from 2008 to 2010) and provide important information about the proportion of the<br />

major sources of data inconsistencies. However, it is equally important to also assess whether<br />

the influence of these factors on data consistency has diminished or increased over the according<br />

time period. Figures 17 through 21 present the longitudinal development of data quality in the<br />

individual regions. The graphs include the regional quality performance records on a monthly time<br />

scale and identify trends in the development of their quality.<br />

Worldwide<br />

Amount of Incomplete Records [%]<br />

10,00%<br />

9,00%<br />

8,00%<br />

7,00%<br />

6,00%<br />

5,00%<br />

4,00%<br />

3,00%<br />

2,00%<br />

1,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

0,00%<br />

2008 2009 2010<br />

Figure 17: Development over time of the quality of quality performance records, reported by all<br />

Volkswagen production facilities worldwide.<br />

63


Region 1<br />

60,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

Amount of Incomplete Records [%]<br />

40,00%<br />

20,00%<br />

0,00%<br />

2008 2009 2010<br />

Figure 18: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in Region 1.<br />

Region 2<br />

Amount of Incomplete Records [%]<br />

10,00%<br />

9,00%<br />

8,00%<br />

7,00%<br />

6,00%<br />

5,00%<br />

4,00%<br />

3,00%<br />

2,00%<br />

1,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

0,00%<br />

2008 2009 2010<br />

Figure 19: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in Region 2.<br />

64


Region 3<br />

Amount of Incomplete Records [%]<br />

10,00%<br />

9,00%<br />

8,00%<br />

7,00%<br />

6,00%<br />

5,00%<br />

4,00%<br />

3,00%<br />

2,00%<br />

1,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

Data point: 100%<br />

0,00%<br />

2008 2009 2010<br />

Figure 20: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in Region 3.<br />

Region 4<br />

Amount of Incomplete Records [%]<br />

10,00%<br />

9,00%<br />

8,00%<br />

7,00%<br />

6,00%<br />

5,00%<br />

4,00%<br />

3,00%<br />

2,00%<br />

1,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

0,00%<br />

2008 2009 2010<br />

Figure 21: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in the Region 4.<br />

65


Region 5<br />

30,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

Amount of Incomplete Records [%]<br />

20,00%<br />

10,00%<br />

0,00%<br />

2008 2009 2010<br />

Figure 22: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in Region 5.<br />

Region 6<br />

Amount of Incomplete Records [%]<br />

10,00%<br />

9,00%<br />

8,00%<br />

7,00%<br />

6,00%<br />

5,00%<br />

4,00%<br />

3,00%<br />

2,00%<br />

1,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

0,00%<br />

2008 2009 2010<br />

Figure 23: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in Region 6.<br />

66


Region 7<br />

10,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

Amount of Incomplete Records [%]<br />

9,00%<br />

8,00%<br />

7,00%<br />

6,00%<br />

5,00%<br />

4,00%<br />

3,00%<br />

2,00%<br />

1,00%<br />

0,00%<br />

2008 2009 2010<br />

Figure 24: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in Region 7.<br />

67


Region 8<br />

10,00%<br />

Missing Material Group Information [%] Missing DUNS [%] Missing Delivery Quantity [%]<br />

Amount of Incomplete Records [%]<br />

9,00%<br />

8,00%<br />

7,00%<br />

6,00%<br />

5,00%<br />

4,00%<br />

3,00%<br />

2,00%<br />

1,00%<br />

0,00%<br />

2008 2009 2010<br />

Figure 25: Development over time of the quality of quality performance records, reported by<br />

Volkswagen’s production facilities in Region 8.<br />

The number of incomplete records with missing D-U-N-S R○ identification has increased slightly<br />

on a global scale during the first two years included in the evaluation – namely 2008 and 2009,<br />

while records with missing information about the quantity of delivered products or their material<br />

group classification have decreased over the same time period (Figure 17). The consistency of<br />

quality performance records marks an improvement during 2010. However, the overall result of<br />

the analysis shows that the cummulative quality performance dataset has a stable amount of affected<br />

records, which even slightly decreases over time. The total amount of complete records is<br />

particularly high – above 95%.<br />

On the regional level, the analysis shows that records from the plants in Region 6 and Region<br />

2 exhibit particularly stable data consistency with low share of incomplete records (see Figures<br />

23 and 19). Excellent examples for data quality improvement are the records from Volkswagen<br />

Group’s plants in Region 8 and Region 5. The plant in Region 8 managed to reduce the amount of<br />

records with missing D-U-N-S R○ information more than 10 times over a period of only three years<br />

(Figure 25). Similarly the production location in Region 5, managed to handle data inconsistency<br />

problems and drastically reduced the number of incomplete records – both for records with missing<br />

material group information as well as for records, which lack a D-U-N-S R○ number (Figure 22).<br />

Other regions also show positive development of data quality, even though not with the same pace.<br />

68


Thus for example, in Region 1 (Figure 18) the absolute number of records with missing D-U-N-S R○<br />

number show an overall improvement after a slight increase in 2008.<br />

From this several important conclusions can be derived both for quality management and the<br />

research questions of this study. On the one hand, benchmarking locations with positive development,<br />

such as Region 5 and Region 8, and applying their approaches for reducing the amount<br />

of incomplete records to other production locations, will improve the consistency of quality performance<br />

information in Volkswagen’s databases. As a result a number of Volkswagen internal<br />

processes, which need this information as input, will benefit from this improvement. Additionally,<br />

frequent monitoring of the quality of available data would also allow for the timely detection of<br />

potential negative trends. On the other hand, these observations show that the operational information,<br />

used to support Volkswagen’s business management process, with small exceptions shows<br />

good overall consistency especially given the size of the organization. Data management is a particularly<br />

critical issue and any organization has to take the due diligence to avoid data inconsistencies<br />

– most of all large international organizations.<br />

Generally speaking, integrity of the operational data is of extreme importance, not only for the<br />

purposes of the subsequent analysis, but also for the overall production process of Volkswagen<br />

Group (as well as for the quality management system of any other organization). Conclusions<br />

based on a reliable set of production records have a particularly important role in closing the PDCA<br />

(Plan-Do-Check-Act) feedback cycle, which is vital for the continuous improvement of business<br />

processes (ISO 9001, 2008, p. 9).<br />

69


7.2 Possible Sources of Data Bias<br />

Given the results on data quality, presented in the previous section, the next step is to analyze for<br />

potential sources of bias resulting from the found facts or other more general factors. This is the<br />

subject of Section 7.2. The following several sections discuss in detail a number of biasing factors<br />

and present possible approaches to account for and mitigate their influences.<br />

7.2.1 Revisions of Volkswagen’s Quality Auditing Process<br />

The first of the general influencing factors stems from the changes the auditing process has undergone<br />

over time. Quality auditing is not a new concept to Volkswagen (and other midsize and large<br />

companies) – the company conducted its first supplier quality evaluations already in the 1980s.<br />

Volkswagen’s quality audits were initially performed according to a number of process-specific<br />

lists of quality requirements, which later on were summarized into a single standardized quality<br />

auditing checklist 11 . The latter served as a basis for the first edition of Formel Q-Fähigkeit, which<br />

was released in 1991. Over the years the concept of quality auditing evolved and Volkswagen’s<br />

quality auditing policy was adjusted accordingly. There have been a total of seven editions of the<br />

document until now, as the most recent was issued in January, 2012 12 .<br />

All changes introduced by the subsequent editions of Formel Q-Fähigkeit aimed at optimizing<br />

Volkswagen’s auditing process and providing more reliable supplier quality capability evaluations.<br />

For example, one especially important change in the past is raising the requirements for a positive<br />

quality evaluation. The minimum quality capability fulfillment level for an A-rating was increased<br />

from 90% to 92% with the release of the fifth edition of Formel Q-Fähigkeit in January, 2005.<br />

The minimum requirement for a B-rating was also adjusted in the same edition and changed accordingly<br />

from 80% to 82%. Another example is the hurdle principle, which was introduced in<br />

the sixth edition of the document, released in August, 2009. Such modifications of the auditing<br />

requirements and respectively the auditing process can result into significant differences of the<br />

meaning of suppliers’ quality capability scores. However, comparisons between datasets which<br />

contain such differences would be undesirable. Therefore, an important part of the current analysis<br />

includes a number of comparisons between the distributions of quality capability scores performed<br />

according to the different editions of Formel Q-Fähigkeit. The purpose of these comparisons is<br />

11 Source: personal communication with Volkswagen AG employees.<br />

12 Empirical data included in this analysis does not include any supplier evaluations performed according to the<br />

requirements listed in Formel Q-Fähigkeit 7.0.<br />

70


to evaluate the extent to which changes introduced with the document revisions affect empirical<br />

data. Any significant variations in the distribution of supplier rankings suggest important differences<br />

and consequently in such cases it is meaningful to analyze quality capability data from the<br />

different periods separately.<br />

To determine what kind of tests are suitable for this part of the analysis – parametric or nonparametric<br />

statistical tests – it is first important to determine whether the analyzed data has a<br />

normal distribution or not. An important assumption of the parametric statistical tests is that the<br />

analyzed data is normally distributed. Thus, if the data are not normally distributed parametric tests<br />

will not be applicable and it will be necessary to use non-parametric distribution comparison tests.<br />

There are a number of methods to test for normality. Among those are the use of the one-sample<br />

Kolmogorov-Smirnov goodness of fit test performed with respect to the theoretical distribution of<br />

a normally distributed random variable (σ = 1 and µ = 0), the Liliefors test for normality, and the<br />

Shapiro-Wilk test for normality (Marques de Sá, 2007). This analysis employs the Shapiro-Wilk<br />

test since it is considered to be better for small sample sizes as compared to the two other tests<br />

mentioned here (Marques de Sá, 2007). The Shapiro-Wilk test ”is based on the observed distance<br />

between symmetrically positioned data values” (Marques de Sá, 2007, p. 187) and its statistic is<br />

defined as (Marques de Sá, 2007, p. 187):<br />

W =<br />

[ k∑<br />

i=1<br />

a i (x n−i+1 − x i )] 2<br />

/<br />

⎧<br />

n∑<br />

⎨<br />

(x i − x) 2 with k =<br />

⎩<br />

i=1<br />

n + 1<br />

2<br />

, if k is odd<br />

n<br />

2 , if k is even (4)<br />

The coefficients a i in (4) and the critical values of W can be obtained from table look-up<br />

(Marques de Sá, 2007). However, the normality test results presented here were obtained using<br />

the statistical software R 13 and no look-up was required. The R distribution comes with a ready<br />

implementation of the Shapiro-Wilk test (shapiro.test()). The R implementation of the test<br />

uses the null-hypothesis that sample data is normally distributed. In addition to the test statistic the<br />

software provides a p-value, which can be used to determine whether the null-hypothesis can be<br />

rejected at a particular significance level α, i.e. p < α.<br />

The available quality capability information was split into a number of subsets. Due to the<br />

great diversity of production processes the first criterion used to divide empirical data was sector<br />

of operation of the individual suppliers. Accordingly, three major sets of data resulted – quality<br />

13 All test results obtained in R and presented in this paper were generated using the software version 2.13.0 from<br />

13 th April 2011.<br />

71


evaluation scores of suppliers operating in the chemical, metal, and electrical industries accordingly.<br />

The resulting three sets of data were further divided based on which edition of the Formel<br />

Q-Fähigkeit was used as reference at the time the respective supplier evaluations were conducted.<br />

As a result, each of the three major evaluation score datasets was divided further into four subsets<br />

corresponding to evaluations performed according to Formel Q-Fähigkeit 3.0 (covering the time<br />

period between January 1997 and March 2000), Formel Q-Fähigkeit 4.0 (April 2000 – December<br />

2004), Formel Q-Fähigkeit 5.0 (January 2005 – July 2009), and Formel Q-Fähigkeit 6.0 (August<br />

2009 – December 2011).<br />

A Shapiro-Wilk normality test was performed on each of the resulting twelve groups of evaluation<br />

scores. Additionally, in order to visually ”double-check” the results of the normality tests for<br />

each dataset a Q-Q plot was generated. On the y-axis of each Q-Q plot are plotted the normalized<br />

quantiles of the given sample (µ = 0 and σ = 1), while on the x-axis are plotted the theoretical<br />

quantiles of a normal distribution with zero-mean and standard deviation of 1 (µ = 0 and σ = 1).<br />

If a particular sample is normally distributed, the according data points in the Q-Q plot would lie<br />

on the line y = x. Any systematic deviations from this line indicate that the data sample is not<br />

distributed normally (Marques de Sá, 2007). In each of the following Q-Q plots the line y = x<br />

was added (plotted in red). The results of the normality test on each of the twelve initial evaluation<br />

score samples are presented together with the respective Q-Q plots in Figures 26 through 28<br />

below. Each plot includes the Shapiro-Wilk test statistic W and the according p-value along with<br />

the sample size n.<br />

72


●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

● ●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−8 −6 −4 −2 0<br />

Normal Q−Q Plot for TOTAL_Chemie_FQF3<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.7665<br />

p = 4.6244e−32<br />

n = 793<br />

(a) Evaluations performed according to FQF 3.0.<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−6 −4 −2 0 2<br />

Normal Q−Q Plot for TOTAL_Chemie_FQF4<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.8535<br />

p = 9.3982e−30<br />

n = 1022<br />

(b) Evaluations performed according to FQF 4.0.<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−6 −4 −2 0 2<br />

Normal Q−Q Plot for TOTAL_Chemie_FQF5<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.9026<br />

p = 3.7678e−30<br />

n = 1531<br />

(c) Evaluations performed according to FQF 5.0.<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−6 −4 −2 0 2<br />

Normal Q−Q Plot for TOTAL_Chemie_FQF6<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.8953<br />

p = 1.6998e−30<br />

n = 1469<br />

(d) Evaluations performed according to FQF 6.0.<br />

Figure 26: Shapiro-Wilk normality test on evaluation scores of chemical part suppliers. The samples<br />

include quality auditing data from all geographic regions.<br />

73


●<br />

Normal Q−Q Plot for TOTAL_Elektrik_FQF3<br />

Normal Q−Q Plot for TOTAL_Elektrik_FQF4<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●●●<br />

●<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

−5 −4 −3 −2 −1 0 1<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●●<br />

●<br />

●●<br />

Shapiro−Wilk Test<br />

W = 0.8226<br />

p = 8.8423e−16<br />

n = 238<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

−6 −4 −2 0<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Shapiro−Wilk Test<br />

W = 0.8785<br />

p = 2.2182e−18<br />

n = 453<br />

−3 −2 −1 0 1 2 3<br />

Theoretical Quantiles<br />

(a) Evaluations performed according to FQF 3.0.<br />

−3 −2 −1 0 1 2 3<br />

Theoretical Quantiles<br />

(b) Evaluations performed according to FQF 4.0.<br />

Normal Q−Q Plot for TOTAL_Elektrik_FQF5<br />

Normal Q−Q Plot for TOTAL_Elektrik_FQF6<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

−4 −2 0<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Shapiro−Wilk Test<br />

W = 0.9116<br />

p = 2.9814e−19<br />

n = 667<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

−6 −4 −2 0<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Shapiro−Wilk Test<br />

W = 0.8523<br />

p = 2.274e−20<br />

n = 460<br />

−3 −2 −1 0 1 2 3<br />

Theoretical Quantiles<br />

(c) Evaluations performed according to FQF 5.0.<br />

−3 −2 −1 0 1 2 3<br />

Theoretical Quantiles<br />

(d) Evaluations performed according to FQF 6.0.<br />

Figure 27: Shapiro-Wilk normality test on evaluation scores of electrical part suppliers. The<br />

samples include quality auditing data from all geographic regions.<br />

74


●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−8 −6 −4 −2 0 2<br />

Normal Q−Q Plot for TOTAL_Metal_FQF3<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.8511<br />

p = 6.6782e−36<br />

n = 1551<br />

(a) Evaluations performed according to FQF 3.0.<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−6 −4 −2 0 2<br />

Normal Q−Q Plot for TOTAL_Metal_FQF4<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.8829<br />

p = 2.2353e−34<br />

n = 1743<br />

(b) Evaluations performed according to FQF 4.0.<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

● ●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

● ●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ● ● ●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−8 −6 −4 −2 0<br />

Normal Q−Q Plot for TOTAL_Metal_FQF5<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.8376<br />

p = 4.1559e−46<br />

n = 2682<br />

(c) Evaluations performed according to FQF 5.0.<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

−3 −2 −1 0 1 2 3<br />

−6 −4 −2 0 2<br />

Normal Q−Q Plot for TOTAL_Metal_FQF6<br />

Theoretical Quantiles<br />

Normalized Sample Quantiles ( σ = 1; µ = 0)<br />

Shapiro−Wilk Test<br />

W = 0.846<br />

p = 8.5925e−40<br />

n = 1932<br />

(d) Evaluations performed according to FQF 6.0.<br />

Figure 28: Shapiro-Wilk normality test on evaluation scores of metal part suppliers. The samples<br />

include quality auditing data from all geographic regions.<br />

75


The performed normality test gives strong statistical evidence that the respective distributions<br />

of the quality capability scores are not normally distributed. In all cases the p-value of each set<br />

of evaluation scores is substantially smaller than the 5%-significance level. The Shapiro-Wilk test<br />

results are also in accordance with the corresponding Q-Q plots, which show that the distribution<br />

of each group of points consistently deviate from the straight line representing y = x. Given<br />

these results, a parametric statistical test would not be suitable to compare the distributions of the<br />

individual sample groups. Alternatively, a two-sample Kolmogorov-Smirnov test was used for the<br />

comparisons.<br />

The two-sample Kolmogorov-Smirnov test ” is used to assess whether two independent samples<br />

were drawn from the same population or from populations with the same distribution” (Marques<br />

de Sá, 2007, p. 201). The test statistic measures the maximal deviation between the cumulative<br />

sample distributions of the two sets of data and is given by (Marques de Sá, 2007, p. 201):<br />

D m,n = max |S n (x) − S m (x)| (5)<br />

where S n (x) and S m (x) are the cumulative sample distributions of the two samples with sizes<br />

n and m respectively. Even for small samples the Kolmogorov-Smirnov test has a high powerefficiency<br />

14 of about 95% when compared to its parametric counterpart – the t-test (Marques de<br />

Sá, 2007, p. 201). The two-sample Kolmogorov-Smirnov test is implemented in R and can be<br />

executed using the function ks.test(). The null-hypothesis of the test is that the two samples<br />

have the same distributions. Each run of the Kolmogorov-Smirnov test in R provides the test<br />

statistic D along with the corresponding p-value, which is used to accept or alternatively reject<br />

the null-hypothesis at a particular significance level. In addition to the test statistic D, its p-value,<br />

and the sizes of the two compared samples n 1 and n 2 , each Kolmogorov-Smirnov test performed<br />

in this analysis is presented along with three plots. The first two plots present the distributions of<br />

each of the two samples, while the third plot superimposes their cumulative distribution functions.<br />

These graphs are particularly useful to understand the differences between the two samples and<br />

to identify regions in which they are similar. Figure 29 presents the results of the two-sample<br />

Kolmogorov-Smirnov test on evaluation score samples of chemical-part suppliers. The results for<br />

metal-part and electrical-part suppliers are presented in Figures 30 and 31 accordingly.<br />

14 The power efficiency of a non-parametric test η BA is the ratio between the sample size n A needed by the parametric<br />

test A and the sample size n B needed by its non-parametric counterpart B to achieve the same power at the<br />

same significance level, i.e. η BA = n A<br />

n B<br />

(Marques de Sá, 2007, p. 171).<br />

76


Frequency<br />

0 50 100 150<br />

TOTAL_Chemie_FQF3<br />

TOTAL_Chemie_FQF4<br />

TOTAL_Chemie_FQF5<br />

TOTAL_Chemie_FQF6<br />

TOTAL_Chemie_FQF3<br />

TOTAL_Chemie_FQF4<br />

TOTAL_Chemie_FQF5<br />

TOTAL_Chemie_FQF6<br />

Distribution of TOTAL_Chemie_FQF3<br />

30 40 50 60 70 80 90 100<br />

Frequency<br />

0 20 40 60 80 100<br />

Distribution of TOTAL_Chemie_FQF4<br />

40 50 60 70 80 90 100<br />

Frequency<br />

0 20 40 60 80 100<br />

Distribution of TOTAL_Chemie_FQF4<br />

30 40 50 60 70 80 90 100<br />

Frequency<br />

0 40 80 120<br />

Distribution of TOTAL_Chemie_FQF5<br />

40 50 60 70 80 90 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Chemie_FQF3<br />

and TOTAL_Chemie_FQF4<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.15<br />

p = 3.72e−09<br />

n_1 = 793<br />

n_2 = 1022<br />

TOTAL_Chemie_FQF3<br />

TOTAL_Chemie_FQF4<br />

30 40 50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Chemie_FQF4<br />

and TOTAL_Chemie_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.0714<br />

p = 0.003863<br />

n_1 = 1022<br />

n_2 = 1531<br />

TOTAL_Chemie_FQF4<br />

TOTAL_Chemie_FQF5<br />

40 50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 3.0 and FQF 4.0.<br />

(b) Evaluations according to FQF 4.0 and FQF 5.0.<br />

Frequency<br />

0 40 80 120<br />

Frequency<br />

0 50 100 150<br />

Distribution of TOTAL_Chemie_FQF5<br />

40 50 60 70 80 90 100<br />

Distribution of TOTAL_Chemie_FQF6<br />

40 50 60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

p-values<br />

4,6E-32 9,4E-30 3,8E-30 1,7E-30<br />

Samples 793 1022 1531 1469<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Chemie_FQF5<br />

and TOTAL_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.03117<br />

p = 0.4602<br />

n_1 = 1531<br />

n_2 = 1469<br />

TOTAL_Chemie_FQF5<br />

TOTAL_Chemie_FQF6<br />

40 50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(c) Evaluations according to FQF 5.0 and FQF 6.0.<br />

TOTAL_Chemie_FQF3 1,000 3,7E-09 0 0<br />

TOTAL_Chemie_FQF4 3,7E-09 1,000 0,004 0,127<br />

TOTAL_Chemie_FQF5 0 0,004 1,000 0,460<br />

TOTAL_Chemie_FQF6 0 0,127 0,460 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(d) Distribution comparisons summary<br />

Figure 29: Distribution comparisons between the evaluation scores of chemical-part suppliers,<br />

performed according to different versions of Formel Q-Fähigkeit. The samples include quality<br />

auditing data from all geographic regions.<br />

77


In the case of chemical-part suppliers above (Figure 29) the obtained p-values are smaller than<br />

the significance level α = 5% in the cases in which results according to FQF 3.0 were compared<br />

to results according to FQF 4.0, as well as the comparison between results according to FQF 4.0<br />

and FQF 5.0. On the other hand, the p-value is greater than the 5%-significance level for the<br />

comparison between FQF 5.0 and FQF 6.0 evaluations. Thus, in the first two cases it is concluded<br />

that there is statistical significance and the null-hypothesis, that the two samples have the same<br />

distribution, is rejected, i.e. the distributions of the evaluations according to FQF 3.0, FQF 4.0 and<br />

FQF 5.0 are different from one another. The test results provide also statistical evidence that the<br />

evaluations performed according to FQF 5.0 and FQF 6.0 have similar distributions. In the latter<br />

case the null-hypothesis is not rejected.<br />

Similar conclusions can be made in the case of metal-part suppliers (Figure 30). Here again<br />

the p-values are smaller than the 5%-significance level for the comparisons between FQF 3.0 an<br />

FQF 4.0, as well as FQF 4.0 and FQF 5.0, meaning that the null-hypothesis, that the according<br />

samples have the same distributions, is rejected. Here again, when evaluations according to FQF<br />

5.0 are compared to evaluations according to FQF 6.0 the respective p-value is greater than the<br />

5%-significance level, meaning that the null-hypothesis is not rejected and that the two samples<br />

have the same distribution.<br />

78


Distribution of TOTAL_Metal_FQF3<br />

Distribution of TOTAL_Metal_FQF4<br />

Frequency<br />

0 50 150 250<br />

40 50 60 70 80 90 100<br />

Distribution of TOTAL_Metal_FQF4<br />

Frequency<br />

0 50 100 150<br />

Frequency<br />

0 50 100 150<br />

40 60 80 100<br />

Distribution of TOTAL_Metal_FQF5<br />

Frequency<br />

0 50 150 250<br />

TOTAL_Metal_FQF3<br />

TOTAL_Metal_FQF4<br />

TOTAL_Metal_FQF5<br />

TOTAL_Metal_FQF6<br />

TOTAL_Metal_FQF3<br />

TOTAL_Metal_FQF4<br />

TOTAL_Metal_FQF5<br />

TOTAL_Metal_FQF6<br />

40 50 60 70 80 90 100<br />

40 60 80 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Metal_FQF3<br />

and TOTAL_Metal_FQF4<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.09903<br />

p = 2.044e−07<br />

n_1 = 1551<br />

n_2 = 1743<br />

TOTAL_Metal_FQF3<br />

TOTAL_Metal_FQF4<br />

40 50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Metal_FQF4<br />

and TOTAL_Metal_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.06194<br />

p = 0.0006026<br />

n_1 = 1743<br />

n_2 = 2682<br />

TOTAL_Metal_FQF4<br />

TOTAL_Metal_FQF5<br />

40 60 80 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 3.0 and FQF 4.0.<br />

(b) Evaluations according to FQF 4.0 and FQF 5.0.<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of TOTAL_Metal_FQF5<br />

Frequency<br />

0 50 150 250<br />

40 60 80 100<br />

Distribution of TOTAL_Metal_FQF6<br />

p-values<br />

6,7E-36 2,2E-34 4,2E-46 8,6E-40<br />

Samples 1551 1743 2682 1932<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Frequency<br />

0 50 100 200<br />

40 60 80 100<br />

TOTAL_Metal_FQF3 1,000 2,0E-07 0 0<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Metal_FQF5<br />

and TOTAL_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.03381<br />

p = 0.1533<br />

n_1 = 2682<br />

n_2 = 1932<br />

TOTAL_Metal_FQF5<br />

TOTAL_Metal_FQF6<br />

40 60 80 100<br />

Evaluation Scores [%]<br />

TOTAL_Metal_FQF4 2,0E-07 1,000 0,001 0,001<br />

TOTAL_Metal_FQF5 0 0,001 1,000 0,153<br />

TOTAL_Metal_FQF6 0 0,001 0,153 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(c) Evaluations according to FQF 5.0 and FQF 6.0.<br />

(d) Distribution comparisons summary<br />

Figure 30: Distribution comparisons between the evaluation scores of metal-part suppliers, performed<br />

according to different versions of Formel Q-Fähigkeit. The samples include quality auditing<br />

data from all geographic regions.<br />

79


Distribution of TOTAL_Elektrik_FQF3<br />

Distribution of TOTAL_Elektrik_FQF4<br />

Frequency<br />

0 5 10 20 30<br />

60 70 80 90 100<br />

Distribution of TOTAL_Elektrik_FQF4<br />

Frequency<br />

0 10 20 30 40 50 60<br />

Frequency<br />

0 10 20 30 40 50 60<br />

60 70 80 90 100<br />

Distribution of TOTAL_Elektrik_FQF5<br />

Frequency<br />

0 20 40 60 80<br />

TOTAL_Elektrik_FQF3<br />

TOTAL_Elektrik_FQF4<br />

TOTAL_Elektrik_FQF5<br />

TOTAL_Elektrik_FQF6<br />

TOTAL_Elektrik_FQF3<br />

TOTAL_Elektrik_FQF4<br />

TOTAL_Elektrik_FQF5<br />

TOTAL_Elektrik_FQF6<br />

60 70 80 90 100<br />

60 70 80 90 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Elektrik_FQF3<br />

and TOTAL_Elektrik_FQF4<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.05722<br />

p = 0.6866<br />

n_1 = 238<br />

n_2 = 453<br />

TOTAL_Elektrik_FQF3<br />

TOTAL_Elektrik_FQF4<br />

60 70 80 90 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for TOTAL_Elektrik_FQF4<br />

and TOTAL_Elektrik_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.07125<br />

p = 0.1292<br />

n_1 = 453<br />

n_2 = 667<br />

TOTAL_Elektrik_FQF4<br />

TOTAL_Elektrik_FQF5<br />

60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 3.0 and FQF 4.0.<br />

(b) Evaluations according to FQF 4.0 and FQF 5.0.<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of TOTAL_Elektrik_FQF5<br />

Frequency<br />

0 20 40 60 80<br />

50 60 70 80 90 100<br />

Distribution of TOTAL_Elektrik_FQF6<br />

p-values<br />

8,8E-16 2,2E-18 3,0E-19 2,3E-20<br />

Samples 238 453 667 460<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Frequency<br />

0 20 40 60<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

50 60 70 80 90 100<br />

CDFs for TOTAL_Elektrik_FQF5<br />

and TOTAL_Elektrik_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.0518<br />

p = 0.4582<br />

n_1 = 667<br />

n_2 = 460<br />

TOTAL_Elektrik_FQF5<br />

TOTAL_Elektrik_FQF6<br />

50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(c) Evaluations according to FQF 5.0 and FQF 6.0.<br />

TOTAL_Elektrik_FQF3 1,000 0,687 0,091 0,094<br />

TOTAL_Elektrik_FQF4 0,687 1,000 0,129 0,157<br />

TOTAL_Elektrik_FQF5 0,091 0,129 1,000 0,458<br />

TOTAL_Elektrik_FQF6 0,094 0,157 0,458 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(d) Distribution comparisons summary<br />

Figure 31: Distribution comparisons between the evaluation scores of electrical-part suppliers,<br />

performed according to different versions of Formel Q-Fähigkeit. The samples include quality<br />

auditing data from all geographic regions.<br />

80


Things look a bit different in the case of electrical-part suppliers (Figure 31). Nevertheless,<br />

certain parallels to the previous two cases can be drawn. Here the Kolmogorov-Smirnov test<br />

does not show any statistically significant differences between the individual datasets on the 5%-<br />

significance level. However, p-values in the comparisons between the distributions of audit results<br />

according to the FQF 4.0 and the FQF 5.0 (p=0.129), the FQF 4.0 and FQF 6.0 (p=0.157), as well<br />

as in the cases in which audit result according to the FQF 3.0 are compared to audits according to<br />

FQF 5.0 (p=0.091) and FQF 6.0 (p=0.094) respectively, are significantly lower than the p-values<br />

for the comparisons between audits according to FQF 3.0 and FQF 4.0 (p=0.687) and between<br />

FQF 5.0 and FQF 6.0 (p=0.458). These results suggest that there are more parallels between the<br />

audits performed according to FQF 3.0 and FQF 4.0 and respectively FQF 5.0 and FQF 6.0 than<br />

between these two groups of results.<br />

The results of the Kolmogorov-Smirnov test show that indeed changes in the requirements defined<br />

in subsequent editions of Formel Q-Fähigkeit significantly influence the characteristics of<br />

empirical data. Evaluation score limits, which Volkswagen defines to differentiate between A-,<br />

B-, and C-suppliers, are potentially one of the major sources of difference between the individual<br />

groups of evaluations. This is supported by the fact that there is no statistically significant difference<br />

between the evaluation scores according to FQF 5.0 and FQF 6.0. The latter have identical<br />

requirements for an A- and a B-rating. On the other hand, the major differences in the empirical<br />

data occur between evaluations to FQF 3.0 and FQF 4.0 and the latter two compared to FQF 5.0<br />

and FQF 6.0 accordingly. The two editions – FQF 3.0 and FQF 4.0 – define also different limits<br />

for an A- and a B-rating respectively.<br />

The evaluations presented above analyze the similarities between twelve generalized sets of<br />

empirical data, which include audit results from a number of different regions. However, the<br />

results of the analysis presented in Section 7.1 identified considerable regional differences of the<br />

composition of empirical data. It is therefore meaningful to evaluate also the influence of the<br />

changes of Formel Q-Fähigkeit on the regional level. For the purpose, the initial twelve sets of<br />

empirical data were divided into a number of subsets based on the region in which the audits were<br />

performed. Using the same methodology as above, for each subset a Shapiro-Wilk normality test<br />

was performed. Since in almost all of the cases the data was found to be non-normally distributed a<br />

two-sample Kolmogorov-Smirnov test was used to identify any statistically significant differences<br />

between the distributions of the newly formed datasets. The results of the performed analysis are<br />

presented in Figures 58 through 78 in Section A in the Appendix.<br />

81


Chemical‐part Suppliers<br />

KS test p‐value<br />

Region<br />

Data Series<br />

FQF 4.0<br />

vs FQF 5.0<br />

FQF 5.0<br />

vs FQF 6.0<br />

Region A Team_A_Chemie_FQFx ‐ 0,046<br />

Region B Team_B_Chemie_FQFx 0,850 0,915<br />

Region C Team_C_Chemie_FQFx ‐ 1,000<br />

Region D Team_D_Chemie_FQFx ‐ 2,4E‐04<br />

Region E Team_E_Chemie_FQFx ‐ 0,011<br />

Region F Team_F_Chemie_FQFx 0,006 0,684<br />

Region G Team_G_Chemie_FQFx ‐ 0,006<br />

Region H Team_H_Chemie_FQFx ‐ 0,556<br />

Region I Team_I_Chemie_FQFx ‐ 0,661<br />

Metal‐part Suppliers<br />

KS test p‐value<br />

Region<br />

Data Series<br />

FQF 4.0<br />

vs FQF 5.0<br />

FQF 5.0<br />

vs FQF 6.0<br />

Region A Team_A_Metal_FQFx ‐ 0,104<br />

Region B Team_B_Metal_FQFx 0,041 0,531<br />

Region C Team_C_Metal_FQFx ‐ 3,3E‐04<br />

Region D Team_D_Metal_FQFx ‐ 1,5E‐05<br />

Region E Team_E_Metal_FQFx ‐ 0,472<br />

Region F Team_F_Metal_FQFx 5,4E‐06 0,448<br />

Region G Team_G_Metal_FQFx ‐ 0,446<br />

Region H Team_H_Metal_FQFx ‐ 1,5E‐07<br />

Region I Team_I_Metal_FQFx 0,177 0,993<br />

Region J Team_J_Metal_FQFx ‐ 0,374<br />

Electrical‐part Suppliers<br />

KS test p‐value<br />

Region<br />

Data Series<br />

FQF 4.0<br />

vs FQF 5.0<br />

FQF 5.0<br />

vs FQF 6.0<br />

Region C Team_C_Elektrik_FQFx ‐ 0,456<br />

Region E Team_E_Elektrik_FQFx ‐ 0,050<br />

Region F Team_F_Elektrik_FQFx 0,010 0,133<br />

Legend:<br />

significant on the 5% level<br />

x = 4, 5, or 6 ‐ FQF Version<br />

Figure 32: Summary of the two-sample Kolmogorov-Smirnov test p-values obtained by comparisons<br />

between the distributions of supplier evaluation scores according to the Formel Q-Fähigkeit<br />

versions 4.0, 5.0, and 6.0 respectively. The results are sorted by commodity type as well as region 1 .<br />

1 Note that the empirical information in some of the regional datasets refers to different supplier pools than the<br />

regional division used in Section 7.1. For this reason the region identification in this and the following sections does<br />

not correspond to the identification used in Section 7.1. However, this is irrelevant for the statistical analysis and its<br />

results.<br />

82


Figure 32 presents a summary of the performed Kolmogorov-Smirnov tests on the sets of regional<br />

empirical data. The test results show that also on the regional level evaluation scores obtained<br />

with respect to FQF 4.0 are significantly different from the evaluations performed according<br />

to FQF 5.0. The only two cases in which no statistical significance was observed are for the evaluations<br />

of metal-part suppliers in Region I, performed by the Volkswagen audit team in this region,<br />

and evaluations of chemical-part suppliers in Region B performed by the local audit team. In the<br />

first case the lack of statistical significance is most probably due to the relatively small sizes of<br />

the data samples – 19 (FQF 4.0) and 28 (FQF 5.0) accordingly. Moreover, the p-values of the<br />

Kolmogorov-Smirnov test for comparisons between audits to FQF 4.0 and FQF 5.0 (p=0.177) and<br />

between FQF 4.0 and FQF 6.0 (p=0.063) are much lower than the p-value of the Kolmogorov-<br />

Smirnov test comparing the evaluation results of metal-part suppliers in Region I with respect to<br />

FQF 5.0 and FQF 6.0 (p=0.993). These results suggest that there are definitely more parallels<br />

between the evaluations according to FQF 5.0 and FQF 6.0 than between these two and the audits<br />

performed according to FQF 4.0, which situation is in accordance with the observations in the rest<br />

of the regions. On the other hand, there is no obvious reason why the evaluations of chemical-part<br />

suppliers performed by the audit team in Region B do not differ for FQF 4.0 and FQF 5.0, especially<br />

provided that in the rest of the analyzed cases there is statistical evidence for such difference.<br />

Moreover, unlike the case with metal-part suppliers in Region I, the sample sizes in the second case<br />

are considerably larger – 69 evaluations for FQF 4.0 and 103 evaluations for FQF 5.0. The p-value<br />

of the test is also very high – p=0.850.<br />

The statistical test results show also that in the majority of cases there is no statistically significant<br />

difference between the evaluation scores performed according to FQF 5.0 and FQF 6.0<br />

accordingly. In the cases, in which statistical significance is observed, the differences in the empirical<br />

data are very probably not due to the changes in the Formel Q-Fähigkeit, and are rather due<br />

to regional trends in the supplier development. Region D for example is one of the markets with<br />

high strategic importance for Volkswagen Group but is subject to high personnel fluctuations and<br />

lack of quality sustainability 15 . This is the reason why Volkswagen has been running an intensive<br />

supplier qualification program in this region for some years now. The program aims at improving<br />

the quality capability of the local suppliers. It is therefore normal to expect that the overall quality<br />

capability of the supplier base in Region D will improve over time. This is indeed what is observed<br />

in Figures 60 and 72 in Section A in the Appendix. The quality audits performed to FQF 6.0 reveal<br />

higher evaluation scores compared to evaluations to FQF 5.0. This trend is consistent both for<br />

15 Source: personal communication with Volkswagen AG employees.<br />

83


chemical-part as well as metal-part suppliers.<br />

Other regions which show positive trends of development of the supplier audit evaluations<br />

are Region A (Figure 57) and Region G (Figure 63) for chemical-part suppliers, and Region C<br />

(Figure 71) and Region H (Figure 76) for metal-part suppliers. It is anticipated that in most of<br />

these cases the positive shift of the evaluation scores is due to improved quality performance of<br />

suppliers. It is not excluded, however, that other factors could also play a role and influence<br />

positively the supplier evaluation scores.<br />

7.2.2 Period of Relevance of Quality Audit Results<br />

The observations in the previous section lead to the next potential source of data bias - development<br />

of supplier’s quality capability over time. On the one hand, a particular supplier evaluation by<br />

Volkswagen auditors lasts on average several days, while the time between quality audits of the<br />

same supplier is of the order of months or even years (this point was already mentioned in the<br />

sampling discussion above). On the other hand, process variation is natural for all productions,<br />

as the intensity of variations is influenced by factors such as maturity of the production process,<br />

implementation of quality improvement programs, period of operation of the production facility,<br />

changes down the supply chain, and many others. This naturally poses the question: Even if at the<br />

time of the audit a quality evaluation result accurately reflects the quality capability of a particular<br />

supplier, how long is this audit result relevant?<br />

The answer to this question is quite important for the subsequent steps of the analysis. As<br />

proposed in the beginning of this paper, a possible way to assess the effectiveness of Volkswagen’s<br />

audit evaluations is to compare the quality capability scores of suppliers to their quality performance<br />

records, under the initial assumption that, if audit evaluations are performed effectively,<br />

suppliers with better audit scores would have better quality performance and vice versa. However,<br />

such comparison is only meaningful, if the quality capability evaluation of each supplier<br />

adequately reflects supplier’s quality capability at the time its quality performance was recorded.<br />

More precisely, the audit result provides only an assessment of the degree, to which a particular,<br />

temporary state of the constantly changing supplier production system meets Volkswagen Group<br />

customer requirements. By contrast, supplier’s quality performance is at any given point of time<br />

directly related to the actual state of the production process. It is influenced by the error sources<br />

down the supplier production chain, which can vary significantly over time. Thus, if the time separation<br />

between the last audit of a supplier and its quality performance record is large, it is highly<br />

84


probable that supplier’s quality capability, at the moment its quality performance was recorded,<br />

does not match its quality capability record in Volkswagen’s database.<br />

Let’s illustrate this with a concrete example – in this case a best-case scenario. Suppose the<br />

supplier A-Supplier was audited several years ago and received an A-rating. Let’s also suppose its<br />

production process fulfilled Volkswagen’s quality requirements to 93%. If we now assume that the<br />

quality audit has adequately evaluated supplier’s quality capability, this means that in a particular<br />

time window around the audit the supplier delivered to Volkswagen indeed with the performance<br />

of an A-93%-supplier. Suppose now that after its last audit the supplier implements a one-year<br />

improvement program, aiming at elimination of major sources of process variation. As a result,<br />

today A-Supplier employs a significantly better production process and does not fulfill any more<br />

just 93% of Volkswagen Group’s customer specific requirements – rather 98%. However, supplier’s<br />

official quality capability record of A 93% in Volkswagen’s database will not change, since no new<br />

audit at supplier’s site has been conducted. Thus, regardless of the fact that an effective supplier<br />

evaluation was performed, the quality audit score of A-Supplier does not match its actual quality<br />

capability any more. On the other hand, due to the implemented improvement measures the quality<br />

of supplier’s final products would increase and the amount of rejects at Volkswagen’s production<br />

lines would drop considerably. Consequently, even though its ”official” quality rating is A 93%, A-<br />

Supplier would supply with the quality of an A-98% rated supplier. It is very difficult to distinguish<br />

such a case from a case, in which the according supplier quality capability is indeed A 93% and<br />

matches its quality capability rating in Volkswagen’s database.<br />

Such mismatches of the measured quality capability (through an audit) and supplier’s actual<br />

quality performance introduce noise in the empirical data and could therefore distort analytical<br />

results. A possible workaround would be to introduce a suitable weighing function, so that quality<br />

performance data obtained around the time of the audit is given more importance than the rest of the<br />

empirical data. Finding the proper definition of the weighing function, however, is extremely difficult,<br />

as variations even for similar production processes are company-specific and could happen at<br />

substantially different time scales. Nevertheless, such a weighing function is especially important<br />

for the analysis of empirical data generated in regions characterized with unstable supplier quality<br />

capability and high process fluctuations. Suitable input for the definition of a weighing function<br />

are supplier-specific process variation indicators such as cpk-values, company-specific KPIs, etc.<br />

However, the empirical data analyzed here does not include any such information. This is the<br />

reason why, the comparisons between quality capability and quality performance presented later<br />

in this paper are restricted mainly to regions with relatively high stability of suppliers’ production<br />

85


processes.<br />

7.2.3 The Factor ”Human” and People Calibration<br />

When considering reliability of recorded data one must also take into account the influence of<br />

the ”human” element. The fact that data is recorded by human beings, each with their individual<br />

perceptions and judgments, can lead to significant variations. One of the important tasks in this<br />

project is to account for the latter when performing the analysis. The large number of people,<br />

responsible for data collection, naturally poses the problem of calibration. There are roughly about<br />

a hundred Volkswagen auditors worldwide. On the other hand, there are several thousand people<br />

involved in the evaluation of suppliers’ quality performance. The complexity of calibration is further<br />

increased also by the type of evaluations the two groups of quality inspectors should perform.<br />

In this function people can be regarded as measurement gauges, which have to provide the according<br />

reproducibility and repeatability of measurements. In order to do so they have to be properly<br />

calibrated and their ability to generate consistent measurements constantly monitored. In general<br />

it is meaningful to define calibration measures analogous to the Cg and Cgk indicators used for<br />

assessing a systems’ measuring capability as well as devise people calibration methods. Given<br />

the importance of people calibration, the next part of this analysis tests for differences in people’s<br />

judgments, i.e. differences in the measurement results of the ”human gauges”.<br />

7.2.3.1 Calibration of Supplier Quality Auditors<br />

Due to their relatively small number, calibration of quality auditors seems to be easier as<br />

compared to calibration of the large number of people, who evaluate suppliers’ quality performance.<br />

Nevertheless, deviations might occur and it is therefore necessary to evaluate their<br />

influence on the empirical data. Suppliers’ quality capability is evaluated by auditors, who have<br />

been particularly trained for the purpose. Each of Volkswagen’s auditors has to pass a number of<br />

quality management trainings before he is authorized to perform audits. Furthermore, the use of<br />

the standardized auditing questionnaire in Formel Q-Fähigkeit worldwide contributes significantly<br />

to a coherent supplier evaluation process. Additionally, Volkswagen requires from its auditors to<br />

perform supplier quality evaluations at least 125 days annually in order to keep their know-how<br />

up-to-date with the constant changes in the sector. Auditor calibration is aided also by a number<br />

of communication channels on the local and international level, which facilitate the exchange of<br />

know-how between the individual quality auditors. These include internal meetings on a weekly<br />

86


asis within the individual auditing units, as well as various regular trainings, workshops, and<br />

seminars (e.g.<br />

Internationale Tagung der Auditoren Leiter (ITAL), Jahres Auditoren Tagung),<br />

which cover important topics of the every-day auditing activities.<br />

Such know-how transfer<br />

suggests relatively good consistency of the auditing results and it is expected that, if two auditors<br />

evaluate the same supplier at the same point of time, their final evaluations will be coherent.<br />

However, in order to assess the effectiveness of auditor calibration in practice, a direct comparison<br />

between the audit results obtained from different auditors at the same production location<br />

is not informative, due to the fact that these are usually separated in time and in the meantime<br />

supplier’s quality capability is influenced by process variation as already discussed in detail in the<br />

previous section. This is the reason why here a different approach was used to evaluate how good<br />

the calibration of Volkswagen auditors is. Rather than concentrating on single suppliers, this part<br />

of the analysis considered entire groups of suppliers based on their location, under the assumption<br />

that the latter are subject to similar influencing factors common to the respective region – for example<br />

suppliers in India. Thus, if two groups of auditors 16 perform a large number of audits in the<br />

same supplier pool in the same time window, it is expected that their evaluations will have similar<br />

distributions, assuming that the two audit groups are equally calibrated. In the previous sections it<br />

was observed that in certain regions such as Region D or Region H, for example, there has been a<br />

positive development of the overall quality capability of suppliers in these regions from the time<br />

period of FQF 5.0 to the time period of FQF 6.0. To minimize the influence of such market-specific<br />

developments the analysis discussed in this section restricted the time period considered for each<br />

comparison to the period of relevance of a single edition of Formel Q-Fähigkeit.<br />

The analytic method used for the comparisons in this section is identical to the one introduced<br />

in Section 7.2.1. For the purpose the empirical quality capability evaluation data was divided into<br />

a number of datasets based on the audit team, which performed the evaluations, and the region<br />

in which the according suppliers are located. For each set of data a Shapiro-Wilk normality test<br />

was conducted. Subsequently the two-sample Kolmogorov-Smirnov test was used to identify any<br />

potential differences in the evaluation distributions. At this point it is necessary to mention that<br />

comparisons were carried out only for part of the regions introduced in the preceding sections. The<br />

only reason why audit data from the remaining regions, analyzed in the previous sections, were not<br />

included in this part of the analysis is because they do not contain large enough samples of quality<br />

evaluations performed by two different auditor teams. In such regions the only available datasets<br />

16 Note that evaluations focused on single auditors were not conducted due to an internal Volkswagen restriction,<br />

which forbids any kind of individual-related performance evaluations.<br />

87


large enough for statistical analysis are those generated by the respective local auditor teams. In<br />

total 10 different sets of empirical data over the three commodities were evaluated.<br />

The majority of the evaluated audit records showed very good consistency of the audit results,<br />

which implies that Volkswagen’s audit teams are well calibrated. In the few cases, in which statistically<br />

significant difference between the compared datasets was observed, either the number<br />

of observations was so low, that the small size of the datasets is the most probable reason for the<br />

statistical significance of the Kolmogorov-Smirnov test, or the empirical data were subject to specific<br />

regional influences and such differences had to be expected. Thus the observed deviations do<br />

not necessarily indicate different calibration of the audit teams. Moreover, these results show that<br />

the evaluations of the individual auditor teams can be subject to the influence of a small cultural<br />

human factor, even when the auditors are equally well calibrated. Based on the observations of<br />

this part of the analysis, to avoid any influence of potentially different supplier audit evaluations,<br />

the subsequent analysis evaluates audit results from different auditor teams separately.<br />

7.2.3.2 Calibration of Production Quality Assessment<br />

If quality capability data are to be compared to quality performance data, one has to account<br />

for any potential biases in suppliers’ quality performance as well. The evaluation process<br />

in the latter case is again highly influenced by the judgments of human beings and therefore also<br />

here it is important to make sure that the same evaluation standards are applied. However, the<br />

number of people involved in the evaluation process of supplier quality performance is much<br />

larger than the total number of Volkswagen auditors conducting quality audits worldwide. Apart<br />

from quality inspectors and supplier quality engineers, practically every single employee involved<br />

in the assembly process is also involved in the detection of eventual quality-related problems of<br />

the supplied components and consequently in the assessment of suppliers’ quality performance.<br />

Moreover, calibration of all participants in the performance evaluation process is particularly<br />

demanding due to the extremely heterogeneous character of the assessed quality. Calibrating the<br />

assessment of quality for products, whose quality can be measured using quantitative parameters<br />

such as length, weight, temperature, and other measurable physical characteristics, is much easier<br />

as compared to calibrating the evaluation of haptic quality for product characteristics such as<br />

color, look, feel, etc. Often, in the latter cases calibration is only possible with the help of shared<br />

master and limit samples. Their use, however, can still be subject to individual influences. For this<br />

reason, empirical data originating from different Volkswagen production plants might be subject<br />

88


to differences even for the same types of products.<br />

To assess the extent to which quality performance data from the different Volkswagen production<br />

facilities differ from one another, the supplier quality performance records from a number of<br />

different plants were compared. The available empirical data from each plant included in the analysis<br />

were divided into datasets based on the type of delivered products using the material group<br />

differentiation (used by the Volkswagen Procurement Department) already introduced in the previous<br />

sections. Similar to the analysis in Section 7.2.3.1 for each dataset a Shapiro-Wilk normality<br />

test was conducted and the individual sets of empirical data were compared pairwise with the help<br />

of a two-sample Kolmogorov-Smirnov test. The quality performance records of 98 suppliers were<br />

evaluated for two different material groups – 0058 (”Moulded parts < DIN A4 for body”) and<br />

0068 (”Moulded parts > DIN A4 for body”). The according empirical data was reported by 11<br />

different Volkswagen production facilities. Suppliers selected for the evaluation deliver the same<br />

type of products to two different Volkswagen plants. Each of the conducted pairwise comparisons<br />

includes the quality performance of all suppliers, which deliver components from a single material<br />

group simultaneously to two Volkswagen production facilities. Figure 33, for example, presents the<br />

test results for the comparison of two datasets – namely A_M_WSGR_0058_Plant_A_ppm and<br />

A_M_WSGR_0058_Plant_M_ppm. The two datasets include the quality performance records of<br />

only those suppliers (in the particular case 10), which deliver parts from the material group 0058 simultaneously<br />

to both Plant A and Plant M. The first dataset – A_M_WSGR_0058_Plant_A_ppm<br />

– contains the quality performance records of these suppliers for their deliveries to Plant A, while<br />

the second dataset – A_M_WSGR_0058_Plant_M_ppm – contains the quality performance<br />

records of the exactly same suppliers for their deliveries to Plant M. Using this methodology a<br />

total of seven different pairs of data were generated. The results from the comparisons of the remaining<br />

pairs of performance evaluations are presented in Figures 79 through 84 in Section B in<br />

the Appendix.<br />

This approach allows to directly compare the quality performance evaluations based on the<br />

same products coming from the same production processes conducted by two independent groups<br />

of evaluators in the respective Volkswagen production facilities. Any differences in the distributions<br />

of the compared pairs of data could suggest discrepancies in the evaluation methods.<br />

The conducted analysis shows, however, that the evaluations of the individual plants are rather<br />

consistent. In all cases the resulting p-values of the Kolmogorov-Smirnov test are greater than<br />

89


Distribution of A_M_WSGR_0058_Plant_A_ppm<br />

Frequency<br />

0.0 0.5 1.0 1.5 2.0<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

Plant: A<br />

WSGR: 0058<br />

Plant: M<br />

WSGR: 0058<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Plant: A<br />

WSGR: 0058<br />

Plant: M<br />

WSGR: 0058<br />

1 2 3 4<br />

Distribution of A_M_WSGR_0058_Plant_M_ppm<br />

1 2 3 4<br />

CDFs for A_M_WSGR_0058_Plant_A_ppm<br />

and A_M_WSGR_0058_Plant_M_ppm<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.3077<br />

p = 0.5696<br />

n_1 = 13<br />

n_2 = 13<br />

A_M_WSGR_0058_Plant_A_ppm<br />

A_M_WSGR_0058_Plant_M_ppm<br />

1 2 3 4<br />

ppm Scores [log]<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,180 0,159<br />

Samples 13 13<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: A<br />

WSGR: 0058<br />

Plant: M<br />

WSGR: 0058<br />

1,000 0,570<br />

0,570 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Performance records comparison based on ppm<br />

(b) Distribution comparison summary<br />

Figure 33: Comparison between the quality performance records of the same 13 suppliers reported<br />

by two different plants – Plant A and Plant M. The reported defective parts per million (ppm) refer<br />

to quality problems of components from the material group 0058 (”Moulded parts < DIN A4 for<br />

body”).<br />

0.05, which in statistical terms means that the null-hypothesis of the non-parametric test is not<br />

rejected on the 5%-significance level. This result is not surprising given that the evaluated parts<br />

are metal components used in the raw construction of the automobile, for which the most important<br />

characteristic is parts’ geometry, i.e. parts’ quality is defined by quantifiable metrics.<br />

Even though the analytical results above do not suggest any discrepancies between the evaluation<br />

methods of the individual Volkswagen production plants (at least not for the evaluated product<br />

groups), empirical data from the different Volkswagen locations may still contain certain differences.<br />

This is demonstrated by the analytical results presented in Figures 34 through 36. Here the<br />

quality performance records of suppliers which deliver a particular type of products reported by<br />

the different Volkswagen locations are compared to one another. The statistical evaluation contains<br />

performance records for three different material groups – 0058 (Figure 34), 0068 (Figure 35,<br />

and 0096 – ”Reservoirs, covers, pipes, wires” (Figure 36). Each figure presents a summary of the<br />

conducted Shapiro-Wilk normality test and the two-sample Kolmogorov-Smirnov test accordingly.<br />

90


Plant: A<br />

WSGR: 0058<br />

Plant: B<br />

WSGR: 0058<br />

Plant: E<br />

WSGR: 0058<br />

Plant: G<br />

WSGR: 0058<br />

Plant: H<br />

WSGR: 0058<br />

Plant: K<br />

WSGR: 0058<br />

Plant: L<br />

WSGR: 0058<br />

Plant: M<br />

WSGR: 0058<br />

Plant: N<br />

WSGR: 0058<br />

Plant: O<br />

WSGR: 0058<br />

Plant: P<br />

WSGR: 0058<br />

Plant: A<br />

WSGR: 0058<br />

Plant: B<br />

WSGR: 0058<br />

Plant: E<br />

WSGR: 0058<br />

Plant: G<br />

WSGR: 0058<br />

Plant: H<br />

WSGR: 0058<br />

Plant: K<br />

WSGR: 0058<br />

Plant: L<br />

WSGR: 0058<br />

Plant: M<br />

WSGR: 0058<br />

Plant: N<br />

WSGR: 0058<br />

Plant: O<br />

WSGR: 0058<br />

Plant: P<br />

WSGR: 0058<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,048 0,235 0,056 0,050 0,103 0,008 0,005 0,001 0,003 0,001 0,008<br />

Samples 25 17 20 23 32 27 27 31 24 22 29<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: A<br />

WSGR: 0058<br />

Plant: B<br />

WSGR: 0058<br />

Plant: E<br />

WSGR: 0058<br />

Plant: G<br />

WSGR: 0058<br />

Plant: H<br />

WSGR: 0058<br />

Plant: K<br />

WSGR: 0058<br />

Plant: L<br />

WSGR: 0058<br />

Plant: M<br />

WSGR: 0058<br />

Plant: N<br />

WSGR: 0058<br />

Plant: O<br />

WSGR: 0058<br />

Plant: P<br />

WSGR: 0058<br />

1,000 0,755 0,711 0,107 0,707 0,012 0,632 0,345 0,327 0,085 0,010<br />

0,755 1,000 0,804 0,208 0,632 0,026 0,807 0,984 0,386 0,552 0,215<br />

0,711 0,804 1,000 0,579 0,458 0,001 0,228 0,269 0,857 0,338 0,015<br />

0,107 0,208 0,579 1,000 0,093 4,9E-06 0,173 0,131 0,553 0,081 0,008<br />

0,707 0,632 0,458 0,093 1,000 0,004 0,193 0,222 0,228 0,043 0,005<br />

0,012 0,026 0,001 4,9E-06 0,004 1,000 0,004 0,003 2,7E-04 6,4E-05 1,1E-06<br />

0,632 0,807 0,228 0,173 0,193 0,004 1,000 0,786 0,139 0,474 0,121<br />

0,345 0,984 0,269 0,131 0,222 0,003 0,786 1,000 0,112 0,615 0,173<br />

0,327 0,386 0,857 0,553 0,228 2,7E-04 0,139 0,112 1,000 0,014 0,002<br />

0,085 0,552 0,338 0,081 0,043 6,4E-05 0,474 0,615 0,014 1,000 0,147<br />

0,010 0,215 0,015 0,008 0,005 1,1E-06 0,121 0,173 0,002 0,147 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

Figure 34: Comparison between the supplier quality performance records reported by eleven different<br />

plants based on ppm. The reported defective parts per million (ppm) refer to quality problems<br />

of components from the material group 0058 (”Moulded parts < DIN A4 for body”).<br />

91


Plant: B<br />

WSGR: 0068<br />

Plant: G<br />

WSGR: 0068<br />

Plant: H<br />

WSGR: 0068<br />

Plant: I<br />

WSGR: 0068<br />

Plant: K<br />

WSGR: 0068<br />

Plant: L<br />

WSGR: 0068<br />

Plant: N<br />

WSGR: 0068<br />

Plant: O<br />

WSGR: 0068<br />

Plant: P<br />

WSGR: 0068<br />

Plant: B<br />

WSGR: 0068<br />

Plant: G<br />

WSGR: 0068<br />

Plant: H<br />

WSGR: 0068<br />

Plant: I<br />

WSGR: 0068<br />

Plant: K<br />

WSGR: 0068<br />

Plant: L<br />

WSGR: 0068<br />

Plant: N<br />

WSGR: 0068<br />

Plant: O<br />

WSGR: 0068<br />

Plant: P<br />

WSGR: 0068<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,610 0,987 0,450 0,430 0,261 0,244 0,023 0,092 0,022<br />

Samples 25 19 28 24 35 37 26 23 21<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: B<br />

WSGR: 0068<br />

Plant: G<br />

WSGR: 0068<br />

Plant: H<br />

WSGR: 0068<br />

Plant: I<br />

WSGR: 0068<br />

Plant: K<br />

WSGR: 0068<br />

Plant: L<br />

WSGR: 0068<br />

Plant: N<br />

WSGR: 0068<br />

Plant: O<br />

WSGR: 0068<br />

Plant: P<br />

WSGR: 0068<br />

1,000 0,973 0,257 0,349 0,927 0,960 0,216 0,714 0,016<br />

0,973 1,000 0,145 0,124 0,290 0,961 0,316 0,445 0,010<br />

0,257 0,145 1,000 0,865 0,285 0,029 0,026 0,111 0,001<br />

0,349 0,124 0,865 1,000 0,952 0,273 0,080 0,089 0,012<br />

0,927 0,290 0,285 0,952 1,000 0,401 0,134 0,215 0,020<br />

0,960 0,961 0,029 0,273 0,401 1,000 0,053 0,414 0,005<br />

0,216 0,316 0,026 0,080 0,134 0,053 1,000 0,976 0,029<br />

0,714 0,445 0,111 0,089 0,215 0,414 0,976 1,000 0,018<br />

0,016 0,010 0,001 0,012 0,020 0,005 0,029 0,018 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

Figure 35: Comparison between the supplier quality performance records reported by nine different<br />

plants based on ppm. The reported defective parts per million (ppm) refer to quality problems<br />

of components from the material group 0068 (”Moulded parts > DIN A4 for body”).<br />

For material group 0058 supplier quality performance data from Plant K stands out as systematically<br />

different from the rest of the analyzed data. In all cases the Kolmogorov-Smirnov<br />

test’s low p-value for this particular dataset indicates statistically significant difference on the 5%-<br />

significance level. Other plants which show potential differences between the quality performance<br />

of their suppliers and the rest of the delivering companies are Plant O and Plant P. Plant P stands<br />

out as systematically different also in the case of material group 0068. Here the p-values of the<br />

92


Kolmogorov-Smirnov test are below the 5%-significance level in all 8 comparisons (Figure 35).<br />

Other plants for which the Kolmogorov-Smirnov test revealed statistically significant results are<br />

Plant H and Plant I as well as Plant N. Apart from the identified differences the rest of the evaluations<br />

were found to be statistically similar, meaning that suppliers which deliver the material<br />

groups 0058 and 0068 to the different Volkswagen plants have consistent quality.<br />

Shapiro‐Wilk Normality test p‐values<br />

Plant: C<br />

WSGR: 0096<br />

Plant: D<br />

WSGR: 0096<br />

Plant: F<br />

WSGR: 0096<br />

Plant: H<br />

WSGR: 0096<br />

Plant: J<br />

WSGR: 0096<br />

Plant: L<br />

WSGR: 0096<br />

p‐values 0,088 0,475 0,086 0,112 0,060 0,575<br />

Samples 17 15 24 23 15 15<br />

Kolmogorov‐Smirnov Distribution Comparison test<br />

p‐values matrix<br />

Plant: C<br />

WSGR: 0096<br />

Plant: D<br />

WSGR: 0096<br />

Plant: F<br />

WSGR: 0096<br />

Plant: H<br />

WSGR: 0096<br />

Plant: J<br />

WSGR: 0096<br />

Plant: L<br />

WSGR: 0096<br />

Plant: C<br />

WSGR: 0096<br />

Plant: D<br />

WSGR: 0096<br />

Plant: F<br />

WSGR: 0096<br />

Plant: H<br />

WSGR: 0096<br />

Plant: J<br />

WSGR: 0096<br />

Plant: L<br />

WSGR: 0096<br />

1,000 0,531 0,013 0,026 0,134 0,604<br />

0,531 1,000 7,8E‐05 1,1E‐04 0,003 0,026<br />

0,013 7,8E‐05 1,000 0,097 0,854 0,009<br />

0,026 1,1E‐04 0,097 1,000 0,105 0,409<br />

0,134 0,003 0,854 0,105 1,000 0,028<br />

0,604 0,026 0,009 0,409 0,028 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

Figure 36: Comparison between the supplier quality performance records reported by six different<br />

plants based on ppm. The reported defective parts per million (ppm) refer to quality problems of<br />

components from the material group 0096 (”Reservoirs, covers, pipes, wires”).<br />

93


Things are a bit different, however, for the case of material group 0096 (Figure 36). Here more<br />

than half of the performed comparisons revealed statistically significant differences between the<br />

individual datasets which made this particular case suitable for closer examination (a ”technical<br />

drill down”). The most probable reason for these differences is the high diversity of components<br />

which comprise this material group. A closer look at the available information revealed that material<br />

group 0096 has a total of 15 different subgroups in contrast to material group 0058 comprising<br />

of only 2 subgroups and material group 0068, which has only 4 subgroups 17 . The differences of<br />

the individual types of products, whose quality performance was evaluated, can also be derived<br />

from the fields of operation of the individual plants. Among the evaluated plants are plants, which<br />

build gearboxes, motors, after-sales replacement components, as well as plants involved in the final<br />

assembly of automobiles for different market segments.<br />

The analytical results included in this section underline important differences also in the character<br />

of quality performance data. Such discrepancies between the individual supplier records need<br />

to be handled with care, as in particular cases direct comparisons between the separate datasets are<br />

not desirable. To avoid potential negative influences of such different character of the empirical<br />

data on the final analytical results, quality performance data not only for different material groups<br />

but also data from the same material group reported by different plants of the Volkswagen Group<br />

are evaluated separately in the subsequent analysis.<br />

17 Note that the empirical data included in this analysis are not detailed enough and do not provide any information<br />

about the subgroups of the individual material groups.<br />

94


7.3 Matching Quality Capability and Quality Performance<br />

The steps of the project presented in Section 7.1 were necessary to eliminate any incomplete<br />

records and thus assure a reliable set of empirical data, while in Section 7.2 it was evaluated<br />

under which pre-conditions and circumstances it is reasonable to correlate quality capability and<br />

quality performance data. In this section the quality performance records of two groups of suppliers<br />

are compared to their quality audit scores in an attempt to give a possible answer to the<br />

research questions defined in the beginning of this paper. The two datasets were built considering<br />

the possible sources of data bias presented in the discussion in Section 7.2. However, to obtain the<br />

quality evaluations of the respective supplier production processes, which are relevant for the considered<br />

components, turned out to be a significant challenge and cost a significant amount of effort<br />

and time. This is because, while quality performance data are structured according to material<br />

groups defined by the Volkswagen Group Procurement department (Konzern Beschaffung), suppliers’<br />

quality capability is assessed with respect to the product groups defined by the Group Quality<br />

Assurance department (Konzern Qualitätssicherung). Even though the two types of categorization<br />

cover the same spectrum of components, there are little parallels between the two (as already discussed<br />

in one of the previous sections), and the only way to match them was to manually process<br />

the records (no automation of the process was possible). This was necessary due to the fact that<br />

at the time the analysis was performed there was no correspondence matrix, which described the<br />

relations between the two types of categorization. Defining such a matrix is a challenge in itself,<br />

due to the fact that the criteria used to define the two categorizations are of completely different<br />

character. While material groups use application as their main differentiating criterion, product<br />

groups are primarily based on the type of process, which is required to manufacture the according<br />

components.<br />

In the majority of cases each supplier production location has several quality capability evaluations<br />

according to different product groups. The number of evaluations depends on the diversity<br />

of produced components and accordingly the variety of production processes in the according facility.<br />

However, to tell which exactly of these audit evaluations assesses the quality capability of<br />

the production process, used to manufacture a particular component, which appears in supplier’s<br />

quality performance record, is not possible directly given the available data identification system<br />

currently in use at Volkswagen. Therefore, the relevant capability score had to be manually identified<br />

for every single supplier quality performance record included in the analysis. Given the high<br />

processing overhead, the analysis presented here was limited to the two presented cases.<br />

95


At this point it is necessary to mention that this particular challenge is relevant not only for<br />

the purposes of this analysis but also for Volkswagen’s internal processes such as the contract<br />

awarding by the Corporate Sourcing Committee (CSC), which needs inputs both from the quality<br />

assurance and procurement departments for the individual sourcing decisions. The problem is not<br />

new to Volkswagen, but at the time the evaluations were carried out there was still no functioning<br />

solution to it. In 2010 the Group Procurement, Volkswagen Research and Development, as well as<br />

the Group Quality Assurance departments discussed possible ways to unify the different product<br />

identification systems. One possible solution includes the definition of a relatively complex identification<br />

system (with several levels of identification), which will allow for the seamless interchange<br />

of information between the different databases of the according departments. The proposed solution<br />

has already been partially implemented. Once this concept is fully functional, it will allow for<br />

a more comprehensive, largely automated analysis of the type presented here.<br />

The first set of analyzed data contains the<br />

quality performance records of 31 suppliers,<br />

which deliver products from the material group<br />

0096 (”Reservoirs, covers, pipes, wires”) to Plant<br />

H. The quality performance records include the<br />

number of ppm each supplier accumulated over<br />

the period of three years – 2008, 2009, and 2010<br />

respectively. However, not all suppliers were active<br />

throughout the entire time period. What is<br />

also important to mention is that not all of the<br />

suppliers included in the analysis have had quality<br />

related problems in the respective period of<br />

time. On the contrary, the quality records of 18<br />

suppliers, representing almost 60% of the evaluated<br />

records, do not contain any reports of delivery<br />

of defective components. At this point, considering<br />

the hypothesis defined in the beginning<br />

of this paper, it is reasonable to expect, that suppliers<br />

which have no ppm have also better quality<br />

capability evaluations compared to suppliers,<br />

which experienced quality related problems. The<br />

Frequency<br />

0 1 2 3 4<br />

Frequency<br />

0 1 2 3 4<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Distribution of Ep no ppms<br />

85 90 95 100<br />

Distribution of Ep with ppms<br />

85 90 95 100<br />

CDFs for Ep no ppms<br />

and Ep with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1667<br />

p = 0.9848<br />

n_1 = 18<br />

n_2 = 13<br />

Ep no ppms<br />

Ep with ppms<br />

85 90 95 100<br />

Evaluation Scores [%]<br />

Figure 37: Distribution comparison between<br />

the evaluation scores of suppliers without reported<br />

quality related problems in the series<br />

production (E P no ppms) and suppliers with<br />

reported problems (E P with ppms). Both<br />

groups of suppliers delivered components from<br />

the material group 0096 (”Reservoirs, covers,<br />

pipes, wires”) to Plant H.<br />

96


overall quality capability evaluations of the two groups of suppliers – with and without ppm - are<br />

compared in Figure 37 using a two-sample Kolmogorov-Smirnov test. For both distributions a<br />

Shapiro-Wilk normality test revealed statistically significant evidence that they are non-normally<br />

distributed on the 5%-significance level with p-values of 0.021 in the case of suppliers without<br />

ppm, and 0.019 in the case of suppliers with ppm accordingly. The performed Kolmogorov-<br />

Smirnov test reveals no statistically significant result on the 5%-significance level, contrary to<br />

the expectations. Moreover, the according p-value of 0.985 of the non-parametric test is rather<br />

high, indicating that the evaluations of the two groups of suppliers are almost identical.<br />

Figure 38 presents the results of a linear regression<br />

between the quality performance of suppliers<br />

with ppm (the respective ppm records were<br />

evaluated on a logarithmic scale with base 10)<br />

and their quality capability evaluations. The estimated<br />

parameters of the least square linear fit are<br />

an intercept of β 0 = −6.439 (std. error= 3.977)<br />

and a slope of β 1 = 0.0939 (std. error= 0.044).<br />

Additionally an F-test was conducted to evaluated<br />

the significance of the estimated parameters<br />

of the least squares fit. The null-hypothesis of the<br />

performed test is that β 1 = 0, i.e. there is no correlation<br />

between the two compared datasets, with<br />

alternative hypothesis that β 1 ≠ 0. The p-value<br />

of the F-test of 0.056 on 1 and 11 degrees of freedom<br />

indicates a marginally significant result on<br />

the 5%-significance level, i.e. the null-hypothesis<br />

of the F-test can be rejected and the least squares<br />

fit shows indeed a positive correlation between<br />

PPM [log]<br />

20 50 100 200<br />

●<br />

Quality Capability vs PPM<br />

●<br />

●<br />

●<br />

●<br />

84 86 88 90 92<br />

Quality Capability Evaluation [%]<br />

Material Group: 0096 (Reservoirs, covers, pipes, wires)<br />

Plant: Plant H<br />

Figure 38: A linear regression fit between<br />

the quality performance and quality capability<br />

records of suppliers, which delivered products<br />

from the material group 0096 to Plant H and experienced<br />

quality related problems in the time<br />

period between the years 2008 and 2010.<br />

the quality performance records and quality capability scores of the respective suppliers (β 1 ≠ 0).<br />

The positive slope indicates that suppliers, which received higher quality capability evaluation during<br />

an audit, experience a larger number of quality related problems. These results are in contrast<br />

with the initial hypothesis presented in the beginning of this paper, which states that suppliers with<br />

higher capability scores are expected to have better quality performance and thus lower number of<br />

ppm respectively.<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

97


The second set of empirical data analyzed in this section comprises of the quality performance<br />

records of suppliers, which deliver parts from the material group 0337 (”Light metal cast gearbox<br />

parts”) to the Volkswagen production facility Plant C. The data contains the records of 44 different<br />

suppliers, as in this case again around 60% (26 suppliers) of all evaluated supplier records contain<br />

no information about any quality related problems in the respective time period between 2008 and<br />

2010. Note that also here not all suppliers were active during the entire period of evaluation.<br />

Distribution of Ep no ppms<br />

Quality Capability vs PPM<br />

●<br />

Frequency<br />

0 2 4 6 8<br />

Frequency<br />

0 1 2 3 4 5 6<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

85 90 95 100<br />

Distribution of Ep with ppms<br />

85 90 95 100<br />

CDFs for Ep no ppms<br />

and Ep with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.235<br />

p = 0.5994<br />

n_1 = 26<br />

n_2 = 18<br />

Ep no ppms<br />

Ep with ppms<br />

85 90 95 100<br />

Evaluation Scores [%]<br />

Figure 39: Distribution comparison between<br />

the evaluation scores of suppliers without reported<br />

quality related problems in the series<br />

production (E P no ppms) and suppliers with reported<br />

problems (E P with ppms). Both groups<br />

of suppliers delivered components from the<br />

material group 0337 (”Light metal cast gearbox<br />

parts”) to Plant C.<br />

PPM [log]<br />

1 10 100 1000 10000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

86 88 90 92 94<br />

Quality Capability Evaluation [%]<br />

Material Group: 0337 (Light metal cast gearbox parts)<br />

Plant: Plant C<br />

Figure 40: A linear regression fit between<br />

the quality performance and quality capability<br />

records of suppliers, which delivered products<br />

from the material group 0337 to Plant C and experienced<br />

quality related problems in the time<br />

period between the years 2008 and 2010.<br />

Figure 39 presents the results of a two-sample Kolmogorov-Smirnov comparison between the<br />

quality capability scores of suppliers with and respectively without ppm, which deliver parts from<br />

the material group 0337 to Plant C. Additionally, for each set of evaluation scores a Shapiro-Wilk<br />

normality test was performed. The resulting Shapiro-Wilk test’s p-values are 0.008 for suppliers<br />

without ppm and 0.031 for suppliers with ppm, indicating statistical significance on the 5%-<br />

significance level in both cases. Based on these p-values it is concluded that both datasets are<br />

non-normally distributed. The Kolmogorov-Smirnov comparison between the two distributions<br />

reveals a particularly high p-value of 0.599, which is above the 5%-significance level, meaning<br />

●<br />

●<br />

●<br />

●<br />

●<br />

98


that the null-hypothesis of the test is not rejected and the two datasets are found to have statistically<br />

similar distributions. These results are in accordance with the accompanying plot of the two<br />

cumulative distribution functions included in Figure 39.<br />

Similar to the previous case, also here a linear regression was used to determine the relation<br />

between the quality performance records (on a decimal logarithmic scale) of suppliers, which were<br />

reported to have quality related problems, and their respective quality capability scores. The results<br />

of the linear regression are presented in Figure 40. The estimated parameters of the least square<br />

fit are accordingly an intercept β 0 = 8.212 (std. error= 9.61083) and a slope β 1 = −0.058 (std.<br />

error= 0.107). The slightly negative slope of the least squares fit suggests that suppliers with<br />

higher audit evaluation score would have less ppm and accordingly better quality performance.<br />

However, a F-test with the null-hypothesis of β 1 = 0 and alternative hypothesis β 1 ≠ 0 was used<br />

to check the significance of the obtained regression parameter estimates and revealed a p-value<br />

of 0.594. The high p-value of the F-test indicates that its null-hypothesis is not rejected on the<br />

5%-significance level, i.e. there is no statistically significant evidence supporting the claim that the<br />

linear fit has a negative slope indeed.<br />

For the second set of empirical data, apart from the comparison between the overall evaluation<br />

scores of suppliers with and respectively without ppm, the individual evaluation components (already<br />

presented in detail in Section 6.1), which comprise a particular audit evaluation, were also<br />

compared. The purpose of these comparisons is to possibly find potential reasons why these two<br />

groups of suppliers perform differently on the level of quality performance, while there is little<br />

difference between their quality capability evaluations. Note that the supplier catalogue, which as<br />

already described in Section 6.3 was the major source of audit evaluation data for the analysis,<br />

provides only the overall evaluation scores and does not contain any information about the individual<br />

evaluation elements of the audit results. For that reason here again the according scores<br />

had to be obtained manually from the audit report hard copies. For each of the resulting datasets a<br />

Shapiro-Wilk normality test was performed. The evaluation results were then compared pairwise<br />

with respect to the individual elements of a quality audit using a two-sample Kolmogorov-Smirnov<br />

test. The test results are presented in Figures 41 and 42 below.<br />

99


Distribution of Ez no ppms<br />

Distribution of Ek no ppms<br />

Frequency<br />

0 2 4 6 8<br />

80 85 90 95 100<br />

Distribution of Ez with ppms<br />

Frequency<br />

0 1 2 3 4<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

80 85 90 95 100<br />

Distribution of Ek with ppms<br />

Frequency<br />

0 1 2 3 4<br />

80 85 90 95 100<br />

80 85 90 95 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Ez no ppms<br />

and Ez with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.07692<br />

p = 1<br />

n_1 = 26<br />

n_2 = 18<br />

Ez no ppms<br />

Ez with ppms<br />

80 85 90 95 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Ek no ppms<br />

and Ek with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2009<br />

p = 0.7841<br />

n_1 = 26<br />

n_2 = 18<br />

Ek no ppms<br />

Ek with ppms<br />

80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Comparison for the element Purchased Material.<br />

(b) Comparison for the element Customer Care / Customer<br />

Satisfaction.<br />

Distribution of EU1 no ppms<br />

Distribution of EU2 no ppms<br />

Frequency<br />

0 1 2 3 4<br />

85 90 95 100<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

75 80 85 90 95 100<br />

Distribution of EU1 with ppms<br />

Distribution of EU2 with ppms<br />

Frequency<br />

0 1 2 3 4<br />

85 90 95 100<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

75 80 85 90 95 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for EU1 no ppms<br />

and EU1 with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1709<br />

p = 0.9151<br />

n_1 = 26<br />

n_2 = 18<br />

EU1 no ppms<br />

EU1 with ppms<br />

85 90 95 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for EU2 no ppms<br />

and EU2 with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.188<br />

p = 0.8463<br />

n_1 = 26<br />

n_2 = 18<br />

EU2 no ppms<br />

EU2 with ppms<br />

75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(c) Comparison for the element Personnel / Personal<br />

Qualification.<br />

(d) Comparison for the element Machinery / Equipment.<br />

Figure 41: Distribution comparison between the individual components of the evaluation scores<br />

of suppliers without reported quality related problems in the series production (E P no ppms) and<br />

suppliers with reported problems (E P with ppms). Both groups of suppliers delivered components<br />

from the material group 0337 (”Light metal cast gearbox parts”) to Plant C.<br />

100


Distribution of EU3 no ppms<br />

Distribution of EU4 no ppms<br />

Frequency<br />

0 1 2 3 4 5 6<br />

Frequency<br />

0 2 4 6 8<br />

85 90 95 100<br />

80 85 90 95 100<br />

Distribution of EU3 with ppms<br />

Distribution of EU4 with ppms<br />

Frequency<br />

0 1 2 3 4 5<br />

85 90 95 100<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

80 85 90 95 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for EU3 no ppms<br />

and EU3 with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1966<br />

p = 0.8056<br />

n_1 = 26<br />

n_2 = 18<br />

EU3 no ppms<br />

EU3 with ppms<br />

85 90 95 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for EU4 no ppms<br />

and EU4 with ppms<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1624<br />

p = 0.9418<br />

n_1 = 26<br />

n_2 = 18<br />

EU4 no ppms<br />

EU4 with ppms<br />

80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Comparison for the element Transport / Parts Handling<br />

/ Storage / Packaging.<br />

(b) Comparison for the element Failure Analysis / Corrective<br />

Measures / Continuous Improvements.<br />

Figure 42: Distribution comparison between the individual components of the evaluation scores<br />

of suppliers without reported quality related problems in the series production (E P no ppms) and<br />

suppliers with reported problems (E P with ppms). Both groups of suppliers delivered components<br />

from the material group 0337 (”Light metal cast gearbox parts”) to Plant C.<br />

The conducted Kolmogorov-Smirnov tests reveal no statistically significant differences at the<br />

5%-significance level also for the individual components of the audit evaluations. In all cases<br />

the resulting p-values are considerably high ranging from 0.784 for the element ”Customer Care/-<br />

Customer Satisfaction” to 1.000 for the element ”Suppliers / Purchased Materials” 18 , for which<br />

element the audit scores of the two groups of suppliers are practically identical. A look on the<br />

cumulative distribution functions of each pair of datasets confirms the results of the Kolmogorov-<br />

Smirnov test. In almost all cases the compared pairs of distributions overlap completely. The only<br />

case in which the suppliers without ppm possibly have an advantage in terms of evaluation scores<br />

is for the element ”Customer Care/Customer Satisfaction”, where their distribution shows slightly<br />

better evaluation results up to the 91%-mark (Figure 41b). This is probably due to the fact that<br />

during a quality audit, the quality performance, which a supplier has shown up to the time of the<br />

audit, is also considered in the final evaluation.<br />

18 The names of the respective audit evaluation elements are used here as they appear in the Formel Q-Fähigkeit 6.0<br />

(2009). In the currently valid Formel Q-Fähigkeit 7.0 these may vary.<br />

101


7.4 Relation Between Number of Defective Parts and Delivery Amount<br />

The two case studies presented in Section 7.3 above do not provide any statistically significant<br />

evidence that suppliers, which have quality related problems expressed in terms of ppm, are rated<br />

differently in their quality capability evaluations than suppliers without any reported quality problems.<br />

The reader is reminded that the conducted evaluations are based on empirical data, which<br />

account for a number of influencing factors presented in Section 7.2. Therefore, these particular biasing<br />

factors could have little influence on the observed non-correlation between the two statistical<br />

quantities.<br />

Nevertheless, there is one particular indicator (other than ppm), based on which in both of the<br />

presented case studies suppliers with ppm records turn out to be very different from suppliers without<br />

quality problems. This is namely the number of components they delivered. Figure 43 presents<br />

the results of a two-sample Kolmogorov-Smirnov test, which compares the delivery amounts (on<br />

a decimal logarithmic scale) of the two groups of suppliers in each of the above cases. The test<br />

Distribution of Records w/o ppm (MG 0096/Plant H)<br />

Distribution of Records w/o ppm (MG 0337/Plant C)<br />

Frequency<br />

0 1 2 3 4 5<br />

3.5 4.0 4.5 5.0 5.5 6.0 6.5<br />

Frequency<br />

0 1 2 3 4 5<br />

2 3 4 5 6<br />

Distribution of Records with ppm (MG 0096/Plant H)<br />

Distribution of Records with ppm (MG 0337/Plant C)<br />

Frequency<br />

0 1 2 3 4 5<br />

3.5 4.0 4.5 5.0 5.5 6.0 6.5<br />

Frequency<br />

0 2 4 6 8<br />

2 3 4 5 6<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0096/Plant H)<br />

and Records with ppm (MG 0096/Plant H)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.5598<br />

p = 0.009848<br />

n_1 = 18<br />

n_2 = 13<br />

Records w/o ppm (MG 0096/Plant H)<br />

Records with ppm (MG 0096/Plant H)<br />

3.5 4.0 4.5 5.0 5.5 6.0 6.5<br />

Delivery Amount [log]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0337/Plant C)<br />

and Records with ppm (MG 0337/Plant C)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.9444<br />

p = 1.149e−08<br />

n_1 = 26<br />

n_2 = 18<br />

Records w/o ppm (MG 0337/Plant C)<br />

Records with ppm (MG 0337/Plant C)<br />

2 3 4 5 6<br />

Delivery Amount [log]<br />

(a) Suppliers, which delivered parts from the material<br />

group 0096 to Plant H.<br />

(b) Suppliers, which delivered parts from the material<br />

group 0337 to Plant C.<br />

Figure 43: Comparison between the delivery amounts of suppliers with and without reported quality<br />

related problems.<br />

102


esults for material group 0096 are presented in Figure 43a and the test results for material group<br />

0337 – in Figure 43b respectively. The resulting p-values of the Kolmogorov-Smirnov test are<br />

0.010 in the case of material group 0096 and 1.15E-8 for material group 0337. Both p-values are<br />

below the 5%-significance level meaning that the null-hypothesis of the Kolmogorov-Smirnov test<br />

assuming similarity between the distributions of the compared data is rejected, as in the case of<br />

material group 0337 the especially low p-value indicates particularly large difference between the<br />

two distributions. The Kolmogorov-Smirnov test results are in accordance also with the accompanying<br />

cumulative distribution function plots in Figure 43. For suppliers which deliver components<br />

from the material group 0337 the ranges of the delivery amounts of the two groups barely overlap.<br />

The results presented in Figure 43 were not anticipated in the beginning of this project. However,<br />

given the fact that they identify a second important factor, which differentiates between suppliers<br />

with good quality performance and suppliers with quality related problems, this finding gives<br />

significant information, which can be used to improve the effectiveness of the quality auditing process<br />

employed by Volkswagen to manage the production quality down its supply chain. Therefore<br />

the topic was further investigated and the respective analytic results are presented in the current<br />

section.<br />

At this point it is important to answer the following questions: What is the relation between<br />

the number of components a supplier delivered and the amount of ppm it scored? And what information<br />

does this relation give about the quality capability of supplier’s production process?<br />

To provide an answer to these questions here first a mathematical approach is used to derive the<br />

relation between the delivery amount and ppm. Subsequently a number of empirical data sets are<br />

analyzed and the results are discussed with respect to the theoretical derivation.<br />

Let k ∈ N be the number of defective parts in a batch of N components. Then the amount of<br />

ppm in this batch is defined as follows:<br />

ppm = F (k, N) = k N × 106 (6)<br />

Note that ppm ∈ Q + . Let the event X refer to the absolute number of defective components k<br />

a supplier delivers in a batch of N components, and the event Y refer to the fraction of defective<br />

components in the same batch expressed in ppm. Further, let p = const 19 be the probability that<br />

19 It is important to keep in mind that the quality capability of a particular production process and accordingly the<br />

probability to produce functional parts can vary over time. In this calculation it is assumed that the supplier has a stable<br />

process over the time period in which the N components are produced and the according probability for no defects or<br />

defects accordingly remains constant.<br />

103


the supplier produces a functional part, and accordingly q = 1−p the probability that the produced<br />

part is defective. Note that according to this definition q is the failure rate of supplier’s production<br />

process. Under this assumption the event X would have a binomial distribution with N trials and<br />

success rate q, i.e. X ∼ B(N, q). Furthermore, the events X and Y are related as follows:<br />

Y = g(X) = βX, where β = 106<br />

N<br />

(7)<br />

Now let Ω Y = {kβ | k ∈ [0; N]} be the domain of all possible discrete values of ppm’s for a batch<br />

of N parts. The expected ppm-value for suppliers which have ppm (quality related problems) can<br />

be written as:<br />

E [Y | Y > 0] =<br />

∑<br />

y P (Y = y | Y > 0) (8)<br />

y ∈ Ω Y<br />

(<br />

P (Y = y | Y > 0) = P (βX = y | βX > 0) = P X = y )<br />

β ∣ X > 0 (9)<br />

(<br />

(<br />

P X = y ) P X > 0<br />

β ∣ X > 0 ∣ X = y ) (<br />

P X = y )<br />

β<br />

β<br />

=<br />

(10)<br />

P (X > 0)<br />

Using (10) one can write (8) as follows:<br />

E [Y | Y > 0] =<br />

∑<br />

y<br />

y ∈ Ω Y<br />

= 1, for y > 0<br />

and 0 otherwise<br />

{ ( }} {<br />

P X > 0<br />

∣ X = y β<br />

P (X > 0)<br />

)<br />

P<br />

(<br />

X = y )<br />

β<br />

(11)<br />

N∑<br />

E [Y | Y > 0] = kβ<br />

k = 1<br />

P (X = k)<br />

P (X > 0)<br />

(12)<br />

N∑<br />

E [Y | Y > 0] = kβ<br />

k = 1<br />

P (X = k)<br />

1 − P (X = 0)<br />

Now using the fact that X has a binomial distribution, the above equation is reduced to:<br />

N∑<br />

E [Y | Y > 0] = kβ<br />

k = 1<br />

( N<br />

k<br />

)<br />

q k p N−k<br />

1 − p N = β<br />

1 − p N N ∑<br />

k = 1<br />

( N<br />

k<br />

)<br />

kq k p N−k =<br />

(13)<br />

βNq<br />

1 − p N (14)<br />

104


E [Y | Y > 0] =<br />

q<br />

1 − p N × 106 (15)<br />

Analogically one can find the conditional expectation for the logarithm of the obtained ppm, only<br />

for suppliers with ppm, i.e. E [Z | Y > 0], where<br />

Z = log 10 (βX), with β = 106<br />

N<br />

(16)<br />

Since here only suppliers, which have ppm are of interest, the domain of the event Z is defined as<br />

Ω Z = {log 10 (kβ) | k ∈ [1; N]}.<br />

E [Z | Y > 0] =<br />

∑<br />

z P (Z = z | Y > 0) (17)<br />

z ∈ Ω Z<br />

P (Z = z | Y > 0) = P (log 10 (βX) = z | βX > 0) = P (βX = 10 z | X > 0) (18)<br />

(<br />

)<br />

)<br />

)<br />

P (Z = z | Y > 0) = P<br />

(X = 10z<br />

P X > 0<br />

β ∣ X > 0 ∣ X = 10z P<br />

(X = 10z<br />

β<br />

β<br />

=<br />

P (X > 0)<br />

(<br />

)<br />

) (19)<br />

E [Z | Y > 0] =<br />

∑ P X > 0<br />

∣ X = 10z P<br />

(X = 10z<br />

β<br />

β<br />

z<br />

(20)<br />

1 − P (X = 0)<br />

z ∈ Ω Z<br />

N∑<br />

E [Z | Y > 0] = log 10 (kβ)<br />

k = 1<br />

( ) N<br />

q k p N−k<br />

k<br />

N∑<br />

E [Z | Y > 0] = log 10 (kβ)<br />

k = 1<br />

= 1, for k > 0<br />

{ }} {<br />

P (X > 0 | X = k ) P (X = k)<br />

1 − P (X = 0)<br />

(21)<br />

N∑<br />

( ) ( ) k N q k<br />

= log<br />

1 − p N 10<br />

N × p N−k<br />

106 k 1 − p (22) N<br />

k = 1<br />

The resulting expressions in (15) and (22) were numerically evaluated for several different<br />

values of p with N ∈ [1; 10 6 ] (see Figure 44). As expected the two plots look very similar. Each of<br />

the curves is asymptotically limited by two straight lines (on a log-log plot). For a small number<br />

of delivered components the according curves are limited by the minimum number of ppm, while<br />

for a large number of delivered components the limiting line is y = log 10 (q10 6 ) – dependent only<br />

on the actual failure rate q of the respective production process.<br />

The plots have a straightforward practical interpretation. For a sufficiently small number of<br />

produced components in clear probabilistic terms the expected number of defective components<br />

105


E[ppm|ppm>0][log]<br />

1e+00 1e+02 1e+04 1e+06<br />

p = 70%<br />

y = log10(30% x 10^6)<br />

p = 90%<br />

y = log10(10% x 10^6)<br />

p = 99%<br />

y = log10(1% x 10^6)<br />

p = 99.9%<br />

y = log10(0.1% x 10^6)<br />

1e+00 1e+02 1e+04 1e+06<br />

Delivered Components N [log]<br />

E[log(ppm)|ppm]<br />

1 2 3 4 5 6<br />

●<br />

●<br />

●<br />

●<br />

p = 70%<br />

y = log10(30% x 10^6)<br />

● ●● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●<br />

●<br />

●<br />

●<br />

p = 90%<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

● ● p = 99%<br />

●<br />

●<br />

●<br />

● ● ●<br />

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ● ● ● ● ● ● ●<br />

●<br />

●<br />

y = log10(10% x 10^6)<br />

y = log10(1% x 10^6)<br />

p = 99.9%<br />

y = log10(0.1% x 10^6)<br />

1e+00 1e+02 1e+04 1e+06<br />

Delivered Components N [log]<br />

(a) Expectation of the event Y .<br />

(b) Expectation of the event Z.<br />

Figure 44: Numerical evaluation of the conditional expectations of the events Y and Z 1 , plotted<br />

for different values of p. The dashed line in both cases represents the minimal number of ppm for<br />

the according delivery amount N, which can be calculated using equation (6) for k = 1 2 .<br />

1 Note that due to the complex form of (22), the according numerical evaluation of the equation was limited by the<br />

floating point precision of the R software and therefore the respective simulation does not cover the entire range of the<br />

number of delivered components. Nevertheless, the key characteristics of the plotted curves are still discernible.<br />

2 Since both axises are on a logarithmic scale, the hyperbola described by (6) appears as a straight line on the plot<br />

G(N) = log 10 (F (k = 1, N)) = log 10<br />

( 1<br />

N 106 )<br />

= log 10 10 6 − log 10 N = 6 − log 10 N<br />

remains below 1. For that reason, for small N it is expected that, if any defects occur at all,<br />

they will be rather few and the resulting amount of ppm would be very close to the minimum<br />

possible number. In other words for small number of components a supplier is ”lucky” most of<br />

the time, i.e. has zero ppm. On the other hand, as the production volume increases and reaches a<br />

particular critical value (N crit = 1/q), even for very small failure rates q in the production process<br />

the expected number of defective components becomes larger than 1. Thus for a large number<br />

of components the supplier cannot escape his ppm value by luck any more, since the probability<br />

of defective components to occur is overwhelming due to the large number of produced parts.<br />

These results are a possible explanation why in the two cases discussed above suppliers, which<br />

lack quality related problems, tend to have smaller number of delivered components as compared<br />

to suppliers with reported ppm.<br />

106


Note that the critical amount of delivered components N crit for a given failure rate q can easily<br />

be determined graphically – it is the x-coordinate of the intersection point of the two asymptotes<br />

(see Figure 44). Note also that the larger the failure rate q of the process, the smaller the number of<br />

produced components N crit has to be to get the first defective parts. For N larger than the critical<br />

delivery amount N crit the number of ppm, which a particular supplier has, would be limited by the<br />

reliability of its production process.<br />

Automotive producers have particularly stringent quality requirements and expect their suppliers<br />

to manage the failure rates of their production processes at levels of less than several hundred<br />

ppm, meaning that in most of the cases the failure rate q is of the order of 0.01% and even less.<br />

At such small failure rates, the probability to produce defective components becomes practically<br />

significant for delivery amounts N crit = 1/q of the order of 10.000 or even more delivered components.<br />

In order to verify whether these observations hold true also for other areas of the supply<br />

chain, a two-sample Kolmogorov-Smirnov test was performed on a number of additional sets of<br />

empirical data. The results of the test are presented in Figures 45 through 47 below.<br />

Distribution of Records w/o ppm (MG 0068/Plant K)<br />

Distribution of Records w/o ppm (MG 0068/Plant L)<br />

Frequency<br />

0 1 2 3 4 5 6<br />

3 4 5 6<br />

Distribution of Records with ppm (MG 0068/Plant K)<br />

Frequency<br />

0 2 4 6 8 10 12<br />

Frequency<br />

0 5 10 15<br />

1 2 3 4 5 6 7<br />

Distribution of Records with ppm (MG 0068/Plant L)<br />

Frequency<br />

0 2 4 6 8 10<br />

3 4 5 6<br />

1 2 3 4 5 6 7<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0068/Plant K)<br />

and Records with ppm (MG 0068/Plant K)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.4493<br />

p = 0.002056<br />

n_1 = 29<br />

n_2 = 35<br />

Records w/o ppm (MG 0068/Plant K)<br />

Records with ppm (MG 0068/Plant K)<br />

3 4 5 6<br />

Delivery Amount [log]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0068/Plant L)<br />

and Records with ppm (MG 0068/Plant L)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.7058<br />

p = 2.167e−10<br />

n_1 = 61<br />

n_2 = 37<br />

Records w/o ppm (MG 0068/Plant L)<br />

Records with ppm (MG 0068/Plant L)<br />

1 2 3 4 5 6 7<br />

Delivery Amount [log]<br />

(a) Suppliers, which delivered parts from the material<br />

group 0068 to Plant K.<br />

(b) Suppliers, which delivered parts from the material<br />

group 0068 to Plant L.<br />

Figure 45: Comparison between the delivery amounts of suppliers with and without reported quality<br />

related problems.<br />

107


Distribution of Records w/o ppm (MG 0096/Plant F)<br />

Distribution of Records w/o ppm (MG 0099/Plant L)<br />

Frequency<br />

0 1 2 3 4 5<br />

2 3 4 5 6<br />

Distribution of Records with ppm (MG 0096/Plant F)<br />

Frequency<br />

0 2 4 6 8<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

1 2 3 4 5 6<br />

Distribution of Records with ppm (MG 0099/Plant L)<br />

Frequency<br />

0 2 4 6 8 10<br />

2 3 4 5 6<br />

1 2 3 4 5 6<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0096/Plant F)<br />

and Records with ppm (MG 0096/Plant F)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.7514<br />

p = 7.25e−07<br />

n_1 = 29<br />

n_2 = 24<br />

Records w/o ppm (MG 0096/Plant F)<br />

Records with ppm (MG 0096/Plant F)<br />

2 3 4 5 6<br />

Delivery Amount [log]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0099/Plant L)<br />

and Records with ppm (MG 0099/Plant L)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.4883<br />

p = 0.002592<br />

n_1 = 31<br />

n_2 = 22<br />

Records w/o ppm (MG 0099/Plant L)<br />

Records with ppm (MG 0099/Plant L)<br />

1 2 3 4 5 6<br />

Delivery Amount [log]<br />

(a) Suppliers, which delivered parts from the material<br />

group 0096 to Plant F.<br />

(b) Suppliers, which delivered parts from the material<br />

group 0099 to Plant L.<br />

Distribution of Records w/o ppm (MG 0105/Plant D)<br />

Distribution of Records w/o ppm (MG 0302/Plant F)<br />

Frequency<br />

0 5 10 20 30<br />

1 2 3 4 5 6<br />

Distribution of Records with ppm (MG 0105/Plant D)<br />

Frequency<br />

0 2 4 6 8 10<br />

Frequency<br />

0 2 4 6 8<br />

2 3 4 5 6<br />

Distribution of Records with ppm (MG 0302/Plant F)<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

1 2 3 4 5 6<br />

2 3 4 5 6<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0105/Plant D)<br />

and Records with ppm (MG 0105/Plant D)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.6792<br />

p = 1.287e−10<br />

n_1 = 167<br />

n_2 = 30<br />

Records w/o ppm (MG 0105/Plant D)<br />

Records with ppm (MG 0105/Plant D)<br />

1 2 3 4 5 6<br />

Delivery Amount [log]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0302/Plant F)<br />

and Records with ppm (MG 0302/Plant F)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.6387<br />

p = 2.496e−05<br />

n_1 = 25<br />

n_2 = 31<br />

Records w/o ppm (MG 0302/Plant F)<br />

Records with ppm (MG 0302/Plant F)<br />

2 3 4 5 6<br />

Delivery Amount [log]<br />

(c) Suppliers, which delivered parts from the material<br />

group 0105 to Plant D.<br />

(d) Suppliers, which delivered parts from the material<br />

group 0302 to Plant F.<br />

Figure 46: Comparison between the delivery amounts of suppliers with and without reported quality<br />

related problems.<br />

108


Distribution of Records w/o ppm (MG 0480/Plant F)<br />

Distribution of Records w/o ppm (MG 0485/Plant C)<br />

Frequency<br />

0 1 2 3 4 5 6<br />

1 2 3 4 5 6<br />

Distribution of Records with ppm (MG 0480/Plant F)<br />

Frequency<br />

0 2 4 6 8 10<br />

Frequency<br />

0 1 2 3 4 5 6<br />

3 4 5 6 7<br />

Distribution of Records with ppm (MG 0485/Plant C)<br />

Frequency<br />

0 2 4 6 8<br />

1 2 3 4 5 6<br />

3 4 5 6 7<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0480/Plant F)<br />

and Records with ppm (MG 0480/Plant F)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.6877<br />

p = 2.603e−06<br />

n_1 = 25<br />

n_2 = 26<br />

Records w/o ppm (MG 0480/Plant F)<br />

Records with ppm (MG 0480/Plant F)<br />

1 2 3 4 5 6<br />

Delivery Amount [log]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Records w/o ppm (MG 0485/Plant C)<br />

and Records with ppm (MG 0485/Plant C)<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.7797<br />

p = 2.597e−08<br />

n_1 = 30<br />

n_2 = 23<br />

Records w/o ppm (MG 0485/Plant C)<br />

Records with ppm (MG 0485/Plant C)<br />

3 4 5 6 7<br />

Delivery Amount [log]<br />

(a) Suppliers, which delivered parts from the material<br />

group 0480 to Plant F.<br />

(b) Suppliers, which delivered parts from the material<br />

group 0485 to Plant C.<br />

Figure 47: Comparison between the delivery amounts of suppliers with and without reported quality<br />

related problems.<br />

In each of the above cases the p-values of the respective Kolmogorov-Smirnov test provide<br />

strong evidence for statistical significance on the 5%-significance level. Based on the small p-<br />

values the null-hypothesis of the test is rejected and in every single case it is concluded that the<br />

distribution of the number of delivered components of suppliers with ppm is different from the distribution<br />

of the number of delivered components of suppliers without ppm. Furthermore, the plots<br />

with the cumulative distribution functions of each pair of empirical data systematically show that<br />

suppliers which experience quality related problems deliver more components than suppliers without<br />

any reported problems. These results are identical with the situation observed in the other two<br />

cases discussed previously in this section as well as in accordance with the theoretical derivation.<br />

The second part of the analysis presented in this section investigates the relation between the<br />

amount of components a certain supplier delivered and the reported number of defective parts per<br />

million. The theoretical derivation above revealed that the relation between the two quantities is<br />

asymptotically limited by two straight lines on a log-log scale for a given failure rate. This is why<br />

in each of the following cases a linear regression between the logarithm of the reported ppm and<br />

109


the logarithm of the respective delivery quantities was carried out. The corresponding results are<br />

presented in Figures 48 through 50 below.<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Cummulative PPM [log]<br />

5 10 50 100 500 5000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0068 | Plant K<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Cummulative PPM [log]<br />

5 10 20 50 100 200 500 1000 2000 5000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0068 | Plant L<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

2e+04 5e+04 2e+05 5e+05 2e+06 5e+06<br />

Cummulative Delivery Quantity [log]<br />

(a) Suppliers, which delivered parts from the material<br />

group 0068 to Plant K.<br />

5e+03 2e+04 1e+05 5e+05 2e+06<br />

Cummulative Delivery Quantity [log]<br />

(b) Suppliers, which delivered parts from the material<br />

group 0068 to Plant L.<br />

Cummulative PPM [log]<br />

1 10 100 1000 10000<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0096 | Plant F<br />

●<br />

●<br />

●<br />

●<br />

Cummulative PPM [log]<br />

20 50 100 200<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0096 | Plant H<br />

●<br />

●<br />

5e+03 2e+04 1e+05 5e+05 2e+06<br />

Cummulative Delivery Quantity [log]<br />

2e+04 5e+04 2e+05 5e+05 2e+06<br />

Cummulative Delivery Quantity [log]<br />

(c) Suppliers, which delivered parts from the material<br />

group 0096 to Plant F.<br />

(d) Suppliers, which delivered parts from the material<br />

group 0096 to Plant H.<br />

Figure 48: Linear regression between the delivery amount of suppliers with reported quality problems<br />

and their ppm record. Please note that both axises are on a logarithmic scale.<br />

110


●<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Cummulative PPM [log]<br />

1 10 100 1000 10000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0099 | Plant L<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Cummulative PPM [log]<br />

100 200 500 1000 2000 5000 10000 20000<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0105 | Plant D<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

2e+03 1e+04 5e+04 2e+05 1e+06<br />

Cummulative Delivery Quantity [log]<br />

(a) Suppliers, which delivered parts from the material<br />

group 0099 to Plant L.<br />

1e+04 5e+04 2e+05 5e+05 2e+06 5e+06<br />

Cummulative Delivery Quantity [log]<br />

(b) Suppliers, which delivered parts from the material<br />

group 0105 to Plant D.<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

●<br />

●<br />

Cummulative PPM [log]<br />

5 10 50 100 500 5000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0302 | Plant F<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Cummulative PPM [log]<br />

1 10 100 1000 10000<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0480 | Plant F<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ● ●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

1e+02 1e+03 1e+04 1e+05 1e+06<br />

Cummulative Delivery Quantity [log]<br />

(c) Suppliers, which delivered parts from the material<br />

group 0302 to Plant F.<br />

1e+02 1e+03 1e+04 1e+05 1e+06<br />

Cummulative Delivery Quantity [log]<br />

(d) Suppliers, which delivered parts from the material<br />

group 0480 to Plant F.<br />

Figure 49: Linear regression between the delivery amount of suppliers with reported quality problems<br />

and their ppm record. Please note that both axises are on a logarithmic scale.<br />

111


●<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

●<br />

●<br />

●<br />

●<br />

Cummulative PPM [log]<br />

1 100 10000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0485 | Plant C<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Cummulative PPM [log]<br />

1 10 100 1000 10000<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0337 | Plant C<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

1e+05 2e+05 5e+05 1e+06 2e+06 5e+06<br />

Cummulative Delivery Quantity [log]<br />

(a) Suppliers, which delivered parts from the material<br />

group 0485 to Plant C.<br />

5e+03 2e+04 5e+04 2e+05 5e+05 2e+06<br />

Cummulative Delivery Quantity [log]<br />

(b) Suppliers, which delivered parts from the material<br />

group 0337 to Plant C.<br />

Figure 50: Linear regression between the delivery amount of suppliers with reported quality problems<br />

and their ppm record. Please note that both axises are on a logarithmic scale.<br />

112


Table 4: Summary of the performed linear regression analysis between suppliers’ quality performance<br />

and delivery quantity (both on a log scale).<br />

Material<br />

Group<br />

Plant ID<br />

Sample<br />

Size N<br />

Intersect Estimate β 0<br />

(Standard Error)<br />

Slope Estimate β 1<br />

(Standard Error)<br />

F-test p-value<br />

0068 K 35 6.963 (1.625) −0.833 (0.287) 0.007<br />

0068 L 37 2.830 (1.221) −0.089 (0.219) 0.686<br />

0096 F 24 5.991 (1.129) −0.820 (0.200) 4.7 × 10 −4<br />

0096 H 13 2.745 (0.940) −0.130 (0.170) 0.463<br />

0099 L 22 7.198 (1.625) −0.911 (0.309) 0.008<br />

0105 D 30 5.314 (0.716) −0.404 (0.138) 0.007<br />

0302 F 31 4.613 (0.696) −0.537 (0.130) 2.7 × 10 −4<br />

0337 C 18 2.339 (3.442) 0.114 (0.604) 0.852<br />

0480 F 26 5.100 (0.604) −0.623 (0.114) 1.3 × 10 −5<br />

0485 C 23 2.347 (3.996) 0.072 (0.656) 0.914<br />

Theoretical values<br />

vertical asymptote (N < N crit ) 6.000 −1.000<br />

horizontal asymptote (N > N crit ) log 10 (q10 6 ) 0.000<br />

Table 4 presents a summary of the estimated parameters of the linear fit in each of the above<br />

ten cases. For each set of suppliers which deliver parts from a particular material group to a certain<br />

Volkswagen production facility the table provides the sample size N as well as the estimated<br />

intercept β 0 and accordingly slope β 1 of the least squares linear fit. The numbers included in<br />

the brackets represent the standard error of each of the estimated parameters. These values were<br />

obtained using the R function summary(). In addition, summary() provides the results of<br />

an F-test, which evaluates the reliability of the slope estimate. The performed F-test in each of<br />

the cases uses the null-hypothesis that the linear fit has a zero slope (β 1<br />

= 0) and alternative<br />

hypothesis of β 1 ≠ 0. The p-values of the performed F-test are listed in the last column in the table<br />

above. In six of the cases the resulting p-values of the F-test are below the 5%-significance level<br />

providing support to reject the null-hypothesis and accept that the slope of the linear fit is indeed<br />

non-zero. In all of these cases the estimated slopes of the least squared fit are particularly high. In<br />

the remaining four cases the p-values of the F-test are above the 5%-significance level, meaning<br />

that the null-hypothesis of the F-test cannot be rejected and the according slope estimates, even<br />

though in most of the cases negative, are not significant. In the latter cases the slope values are also<br />

substantially smaller, as in the case of suppliers which deliver components from material groups<br />

0337 and 0485 to Plant C the estimated slopes are even positive. To aid the comparison between<br />

the parameter estimates in Table 4 they are presented also graphically in Figure 51.<br />

113


Slope (β_1)<br />

-1,5 -1,0 -0,5 0,0 0,5 1,0<br />

10<br />

8<br />

0099; Plant L<br />

0068; Plant K<br />

Zero Slope<br />

(N > N_crit)<br />

Intercept (β_0)<br />

6<br />

4<br />

2<br />

Theoretical<br />

value (min ppm)<br />

0096; Plant F<br />

0105; Plant D<br />

0068; Plant L<br />

0480; Plant F 0302; Plant F<br />

0096; Plant H<br />

0337; Plant C<br />

0485; Plant C<br />

0<br />

-2<br />

-4<br />

Figure 51: Graphical representation of the estimated linear regression parameters presented in<br />

Table 4. The error bars denote the standard error of the estimates. The label of each data point<br />

consists of the respective Material group; Plant ID. A list of all material groups, which appear in<br />

this paper, can be found in the Appendix.<br />

For each of the performed linear regressions above the influence of the individual data points<br />

on the estimated parameters was evaluated using Cook’s distance, which measures the change<br />

of the estimated linear model parameters induced by the removal of the respective point from the<br />

dataset (Cook, 1977, 1979). For every set of data a plot was generated, which displays the residuals<br />

versus their leverage. Each of these plots includes also two dashed pairs of lines, representing a<br />

Cook’s distance of 0.5 and 1.0 respectively. These plots were used to identify points, which have a<br />

particularly strong influence on the estimated parameters, and thus could lead to serious offsets of<br />

the linear fit. For three of the presented cases above these evaluations revealed indeed that there are<br />

points, which have particularly strong influence on the parameter estimates, with Cook’s distance<br />

of more than 0.5. The plots for the respective three cases are presented in Figure 52. Due to their<br />

strong influence on the data parameters, the respective data points were consequently excluded<br />

from the datasets and a new linear regression based on the remaining data points was carried out.<br />

The new linear fits are presented in Figures 53 and 54. The resulting new plots of residuals versus<br />

points’ leverage are also included alongside the linear regression plots.<br />

114


Residuals vs Leverage<br />

Residuals vs Leverage<br />

Standardized residuals<br />

−2 −1 0 1 2<br />

● ●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

● ●<br />

●<br />

●<br />

●<br />

●<br />

3<br />

Cook's distance<br />

●<br />

13<br />

0.0 0.1 0.2 0.3 0.4 0.5<br />

Leverage<br />

lm(log10(ppm.1) ~ log10(liefermenge.1))<br />

9<br />

●<br />

1<br />

0.5<br />

0.5<br />

1<br />

Standardized residuals<br />

−2 −1 0 1 2<br />

●<br />

14<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

4<br />

Cook's distance 1<br />

0.00 0.05 0.10 0.15 0.20 0.25 0.30<br />

Leverage<br />

lm(log10(ppm.1) ~ log10(liefermenge.1))<br />

●<br />

8<br />

●<br />

1<br />

0.5<br />

0.5<br />

(a) Suppliers, which delivered parts from the material<br />

group 0096 to Plant F.<br />

(b) Suppliers, which delivered parts from the material<br />

group 0099 to Plant L.<br />

Residuals vs Leverage<br />

●<br />

●<br />

Standardized residuals<br />

−2 −1 0 1<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

18<br />

13<br />

●<br />

1<br />

0.5<br />

0.5<br />

1<br />

●<br />

15<br />

Cook's distance<br />

0.0 0.2 0.4 0.6 0.8<br />

Leverage<br />

lm(log10(ppm.1) ~ log10(liefermenge.1))<br />

(c) Suppliers, which delivered parts from the material<br />

group 0337 to Plant C.<br />

Figure 52: Datasets, which include data points with particularly large leverage. The leverage each<br />

data point has on the estimated parameters of the linear regression was determined by computing<br />

its Cook’s distance.<br />

115


●<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Residuals vs Leverage<br />

Cummulative PPM [log]<br />

2 5 10 20 50 100 200 500<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

●<br />

MG 0096 | Plant F / Excluded Points: 9<br />

1e+05 2e+05 5e+05 1e+06 2e+06 5e+06<br />

Cummulative Delivery Quantity [log]<br />

Standardized residuals<br />

−2 −1 0 1 2<br />

●<br />

●<br />

●<br />

Cook's distance<br />

●<br />

13<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

0.00 0.05 0.10 0.15 0.20<br />

Leverage<br />

lm(log10(ppm.1) ~ log10(liefermenge.1))<br />

3<br />

●<br />

18<br />

●<br />

●<br />

0.5<br />

0.5<br />

(a) Suppliers, which delivered parts from the material<br />

group 0096 to Plant F.<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

(b) Leverage of the individual data points for suppliers,<br />

which delivered parts from the material group 0096 to<br />

Plant F.<br />

Residuals vs Leverage<br />

Cummulative PPM [log]<br />

1 10 100 1000 10000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

MG 0099 | Plant L / Excluded Points: 8<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

5e+03 2e+04 1e+05 5e+05 2e+06<br />

Cummulative Delivery Quantity [log]<br />

Standardized residuals<br />

−2 −1 0 1 2<br />

●<br />

13<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Cook's distance<br />

4<br />

●<br />

●<br />

●<br />

17<br />

●<br />

0.0 0.1 0.2 0.3 0.4<br />

Leverage<br />

lm(log10(ppm.1) ~ log10(liefermenge.1))<br />

1<br />

0.5<br />

0.5<br />

1<br />

(c) Suppliers, which delivered parts from the material<br />

group 0099 to Plant L.<br />

(d) Leverage of the individual data points for suppliers,<br />

which delivered parts from the material group 0099 to<br />

Plant L.<br />

Figure 53: Recomputed linear regressions, excluding the influencing data points.<br />

116


●<br />

Cummulative Delivery Quantity vs Cummulative PPM<br />

Residuals vs Leverage<br />

0.5<br />

●<br />

●<br />

●<br />

Cummulative PPM [log]<br />

1 10 100 1000 10000<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

Least Squares fit<br />

Minimal number of ppms<br />

●<br />

MG 0337 | Plant C / Excluded Points: 13<br />

500000 1000000 1500000<br />

Cummulative Delivery Quantity [log]<br />

●<br />

●<br />

●<br />

Standardized residuals<br />

−2 −1 0 1<br />

Cook's distance<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

●<br />

14<br />

10<br />

3●<br />

0.00 0.05 0.10 0.15 0.20 0.25<br />

●<br />

Leverage<br />

lm(log10(ppm.1) ~ log10(liefermenge.1))<br />

●<br />

0.5<br />

1<br />

(a) Suppliers, which delivered parts from the material<br />

group 0337 to Plant C.<br />

(b) Leverage of the individual data points for suppliers,<br />

which delivered parts from the material group 0337 to<br />

Plant C.<br />

Figure 54: Recomputed linear regressions, excluding the influencing data points.<br />

117


Table 5: Summary of the performed linear regression analysis between suppliers’ quality performance<br />

and delivery quantity (both on a log scale) for the corrected datasets.<br />

Material<br />

Group<br />

Plant ID<br />

Sample<br />

Size N<br />

Intersect Estimate β 0<br />

(Standard Error)<br />

Slope Estimate β 1<br />

(Standard Error)<br />

F-test p-value<br />

0096 F 24 (old) 5.991 (1.129) −0.820 (0.200) 4.7 × 10 −4<br />

0096 F 23 4.124 (1.516) −0.498 (0.265) 0.074<br />

0099 L 22 (old) 7.198 (1.625) −0.911 (0.309) 0.008<br />

0099 L 21 8.974 (1.894) −1.233 (0.355) 0.003<br />

0337 C 18 (old) 2.339 (3.442) 0.114 (0.604) 0.852<br />

0337 C 17 7.986 (7.681) −0.856 (1.325) 0.528<br />

Theoretical values<br />

vertical asymptote (N < N crit ) 6.000 −1.000<br />

horizontal asymptote (N > N crit ) 1/q 0.000<br />

The new plots show that there are no more data points with Cook’s distance greater than 0.5.<br />

The resulting new estimates for the intercept and slope of the respective linear regressions are<br />

presented in Table 5 and graphically in Figure 55. Removing the respective influential data points<br />

from the three datasets brought significant changes of the estimates of the intercept and slope of<br />

the least squares fit. The largest change is observed in the case of suppliers of products from the<br />

material group 0337 to Plant C. Here the initially estimated positive slope with small absolute value<br />

(β 1 = 0.114) changed to a strongly negative slope (β 1 = −0.856). Furthermore, the according<br />

intercept shifted as well from β 0 = 2.339 to β 0 = 7.986 (Figure 55). The new parameters of the<br />

linear fit are very close to the theoretical line representing a minimal number of ppm with intercept<br />

β 0 = 6 and slope β 1 = −1. However, the results of the performed F-test indicate that the estimates<br />

are not reliable. The very high p-value of the F-test (p=0.528) indicates that the null-hypothesis<br />

of the test that β 1 = 0 cannot be rejected on the 5%-significance level. In the other two cases the<br />

p-values of the F-test show that the estimated slopes of the respective linear fits are statistically<br />

significant even after the removal of the influential points. In the case of suppliers, which deliver<br />

components from the material group 0096 to Plant F, the removal of the influential data point lead<br />

to a smaller slope β 1 = −0.498 (in contrast to β 1 = −0.820 previously). The intercept of the<br />

fitting line β 0 = 5.991 dropped down to β 0 = 4.124. In the case of material group 0099 for Plant<br />

L, the removal of the influential point has an opposite effect. The slope of the least squares fit<br />

increased in absolute terms from β 1 = −0.911 to β 1 = −1.233. The according intercept shifted<br />

from β 0 = 7.198 to β 0 = 8.974 (see Figure 55).<br />

118


Slope (β_1)<br />

-2,5 -2,0 -1,5 -1,0 -0,5 0,0 0,5 1,0<br />

16<br />

14<br />

12<br />

Zero Slope<br />

(N > N_crit)<br />

Intercept (β_0)<br />

10<br />

8<br />

6<br />

0099; Plant L<br />

0337; Plant C<br />

4<br />

Theoretical<br />

value (min ppm)<br />

0096; Plant F<br />

2<br />

0<br />

-2<br />

Figure 55: Graphical representation of the shift of the estimated linear regression parameters presented<br />

in Table 5, after the influential points have been removed from the data sets. The error bars<br />

denote the standard error of the estimates. The label of each data point consists of the respective<br />

Material group; Plant. A list of all material groups and plant codes, which appear in this paper,<br />

can be found in the Appendix.<br />

In two of the cases above – namely for suppliers, which deliver products from the material<br />

group 0068 to Plant K, and suppliers, which deliver components from material group 0099 to Plant<br />

L respectively (in the latter case even after the removal of the influential data points) – the estimated<br />

linear fits are particularly close to the theoretical line limiting the number of ppm, which has an<br />

intersect β 0 = 6 and a slope β 1 = −1 (as already shown previously). These results suggest that the<br />

respective groups of suppliers did not yet reach their critical delivery amount of N crit = 1/q, and<br />

that even though they have quality related problems on their records, their production processes<br />

seem to be particularly stable.<br />

On the other hand, the datasets which reveal slopes of the linear fit close to zero, such as in<br />

the case of suppliers delivering material group 0068 to Plant L – β 1 = −0.089, or suppliers of<br />

parts from the material group 0485 to Plant C – β 1 = 0.072, for example, suggest that part of the<br />

suppliers in the respective group have reached their critical delivery amount and their performance<br />

record is now limited by the second asymptote derived in the theoretical part above. Such groups<br />

of suppliers require closer attention, since it is very probable that their production processes are<br />

not stable enough.<br />

119


These findings are particularly important for the supplier management process, since the analysis<br />

presented in this section provides a good approach to identify the areas, in which the probability<br />

of arising quality related problems is rather high. The results show that suppliers who supply a<br />

large number of components with a confirmed zero slope need to be handled with high priority.<br />

On the other hand, suppliers with a slope near the ”detectability” asymptote (see Figure 44) are<br />

only second priority since the probability of them causing problems is low, since their processes<br />

are either really stable in absolute terms, or are at least stable enough for the lower number of<br />

delivered components to have a low probability for causing problems. Such type of information is<br />

a particularly important input for the supplier management process and can be used to efficiently<br />

distribute auditing resources down the supply chain.<br />

120


8 Conclusion<br />

Second-party quality auditing is an essential part of the quality assurance process especially in<br />

businesses with high levels of outsourcing. The goal of the presented project was to assess the<br />

effectiveness of the practical implementation of this quality management tool in the automotive<br />

industry and using a case study approach to answer the following two research questions:<br />

<br />

Can quality performance of automotive suppliers in the mass production be anticipated based<br />

on quality evaluation of the capability of their production processes?<br />

<br />

What is the quality of the quality auditing process at Volkswagen Group and what is its<br />

improvement potential?<br />

Figure 56 shows once again the flow of the discussion and summarizes the contents of the individual<br />

sections of this paper. Section 1 introduced the concept of quality and its importance for the<br />

business environment. It also briefly addressed the quality-related challenges faced by companies,<br />

which manufacture complex products in cooperation with external business partners. Section 2<br />

presented the research questions and the motivation for this paper. One important aspect in this<br />

regard was that automotive companies need a quality management tool, which allows them to effectively<br />

assess the quality capability of their potential business partners before the contracts are<br />

in place and thus strategically select the most suitable suppliers, which can guarantee the stability<br />

of OEMs’ production processes. At the same time it is important that the selected suppliers<br />

maintain their quality capability even after the start of production and any quality related issues<br />

are addressed in a timely manner. At this point the generally accepted quality standards such as<br />

ISO 9001 and ISO/TS16949 and the Total Quality Management principle upon which they build<br />

were introduced as a possible answer to the needs of automotive OEMs. The discussion focused<br />

on the ability of such standards to guarantee the quality of certified companies. The section reviewed<br />

scientific literature, which describes potential deficiencies of the certification according to<br />

these quality standards and explains why second-party quality auditing is its preferred counterpart<br />

in the quality management practices in a lot of industries including the automotive. Pursuing<br />

the presented research questions was additionally motivated by the fact that there is small scientific<br />

base, which provides information whether this quality management tool is indeed effectively<br />

implemented in practice in the automotive industry.<br />

121


1.<br />

Introduction<br />

2.<br />

Research Question and Research Motivation<br />

Research Questions:<br />

• Can quality performance of automotive suppliers in the mass production be anticipated based<br />

on quality evaluation of the capability of their production processes?<br />

• What is the quality of the quality auditing process at Volkswagen Group and what is its<br />

improvement potential?<br />

3.<br />

Research Approach<br />

Framework for the analysis (case study):<br />

• Similarities between quality auditing and sampling<br />

• Two aspects, which are important for effective quality auditing:<br />

− Frequency of audits in the context of the general audit planning (sampling frequency)<br />

− Effectiveness of individual audits (accuracy of the samples)<br />

General Auditing Strategy<br />

(Sampling Frequency)<br />

4. Specifics of the Automotive Industry<br />

Fundamental Principles of the<br />

5.<br />

Quality Audit<br />

• Specifics of the industry:<br />

− Internationalization of the<br />

automotive operations<br />

− Rising development costs<br />

− Increased complexity of the<br />

automotive supply chain<br />

• Summary of the quality challenges and<br />

Implications for the quality auditing<br />

strategy in the automotive sector<br />

• Evaluation of Volkswagen’s quality<br />

auditing process with respect to the<br />

insights from the discussion<br />

8.<br />

Conclusion<br />

• Summary of the analytical results<br />

• Comments of the results with<br />

respect to the research questions<br />

of the paper<br />

• Outlook<br />

6.<br />

Effectiveness of Individual<br />

Audits (Accuracy of Samples)<br />

Empirical Data<br />

• Overview of the analyzed empirical data<br />

and the evaluation methods relevant for<br />

data collection:<br />

− Quality performance records<br />

− Quality capability records<br />

• Technical aspects of the analysis<br />

• Important recommendations regarding<br />

Volkswagen’s data management<br />

7. Results and Discussion<br />

• Comprehensive evaluation of the available<br />

empirical data w/r/t incomplete records<br />

• Account for potential biasing factors<br />

− Revisions of Volkswagen’s quality<br />

auditing process<br />

− Relevance of audit results with time<br />

− Influences resulting from the<br />

calibration of auditors and quality<br />

inspectors<br />

• Correlation of quality performance and<br />

quality capability for two data sets<br />

• Theoretical and empirical evaluation of the<br />

delivery amount as a second predictor for<br />

quality performance<br />

Figure 56: Flow of the discussion presented in this paper.<br />

122


Section 3 presented the research approach. The analysis in this paper was based on a case study<br />

carried out in cooperation with one of the largest automotive producers in the world – Volkswagen<br />

Group. An important contribution of this section is the analytical framework it introduced, which<br />

draws similarities between the quality auditing process and one of the fundamental techniques in<br />

the field of Electrical Engineering – sampling. An important benefit of this particular analytic<br />

approach is that it is independent of the specifics of the automotive industry and can be used to<br />

assess the effectiveness of quality auditing also in other industry sectors. The two aspects of the assessment<br />

framework are the frequency of auditing (analog to the sampling frequency in Electrical<br />

Engineering) and the ability of the individual audits to evaluate adequately the quality capability<br />

of suppliers’ production processes (analog to the accuracy of the individual measurements). As a<br />

consequence of the defined evaluation framework the rest of the paper was divided into two conceptually<br />

different but mutually complementing parts. The aspect of auditing frequency was dealt<br />

with in Section 4, while the remaining sections (Sections 5 through 7) focused on the effectiveness<br />

of the individual audits. This division is also reflected in the current section.<br />

8.1 General Auditing Strategy (Sampling Frequency)<br />

Section 4 examined the specifics of the automotive market and the associated quality management<br />

challenges down the automotive supply chain. On the one hand, strategic moves such as the relocation<br />

of production to cost-efficient regions, increasing the share of outsourced production, and<br />

at the same time the introduction of new production approaches such as the use of modular assembly<br />

components, offer substantial competitive advantages to the individual market players and are<br />

essential for the competitiveness of automotive manufacturers. On the other hand, factors such as<br />

personnel fluctuation in developing regions, large production volume increases and the resulting<br />

lack of sustainability of quality of suppliers’ production processes, rapidly growing complexity of<br />

the supplier pool, product portfolio integration and quality risk concentration in production modules,<br />

which are extensively used in smaller varieties and increasing numbers and complexity, not<br />

only pose serious challenges to quality management in the automotive sector, but also potentially<br />

endanger OEMs’ overall business operations.<br />

Based on the insights of the discussion a possible approach was suggested (see Figure 8 in<br />

Section 4.4), which can be used to prioritize quality audits in the general quality auditing plan. To<br />

respond to the challenges of the sector automotive players need to adjust accordingly their audit<br />

planning and the frequency of audits in areas, which are subject to particularly strong influence of<br />

123


the factors mentioned above. Special attention should be paid to sub-supplier management as well<br />

as securing the stability of the production processes of key partners on the newly opened markets.<br />

Production concepts similar to Volkswagen’s modular strategy MQB must also be handled with<br />

priority in the general audit planning, especially considering the significantly larger volumes of the<br />

sourced components.<br />

Already in this section followed the first important conclusion regarding the research questions.<br />

The average age of audit evaluations of Volkswagen suppliers from a number of different<br />

regions were compared to the recommended audit prioritizing (Figure 8). The results showed that<br />

Volkswagen’s audit planning accounts for the specifics of the automotive industry. Thus suppliers<br />

in developing regions such as China, India, or Russia were audited much more frequently than<br />

suppliers in developed regions such as Germany or North America. Furthermore, the number of<br />

the sub-supplier audits conducted by Volkswagen is constantly rising. One aspect, which needs<br />

yet to be considered in Volkswagen’s general quality audit planning, is the start of production of<br />

Volkswagen models based on the MQB platform planned for 2012.<br />

However, this conclusion is based on a qualitative evaluation of the empirical data only. It is<br />

difficult to determine whether the auditing frequency is optimal for the according regions, e.g. is<br />

the average age of quality audits in the individual regions small enough to prevent quality problems<br />

or should it be reduced even further? The answer to such a question is limited by the a vast number<br />

of parameters. Nevertheless, this particular point represents an interesting topic for subsequent<br />

research.<br />

8.2 Effectiveness of Individual Audits (Accuracy of Samples)<br />

Once the aspects regarding the general audit planning (the sampling frequency) were treated, the<br />

remaining part of the paper concentrated on the ability of individual audits to adequately evaluate<br />

the quality capability of suppliers’ production processes (accuracy of the samples). This part included<br />

the bulk of statistical evaluations on the available empirical data. In the beginning of this<br />

paper (Section 3) it was hypothesized, that if individual quality audits are conducted effectively, it<br />

should be expected that suppliers, which receive a higher quality capability rating during an audit,<br />

should also perform better in terms of quality performance indicators, such as ppm. This is the<br />

reason why the ultimate purpose of the analysis in this part of the paper was to correlate quality<br />

capability to quality performance information in order to search for hints, which can help to find an<br />

answer to the research questions. Before the according correlations could be performed, however,<br />

124


several additional considerations had to be taken into account such as the theoretical aspects of<br />

the quality audit, specifics and quality of the empirical data, as well as a number of factors, which<br />

could potentially bias the analytical results and obscure important trends in the evaluated data.<br />

Section 5 introduced the theoretical aspects of the quality audit. It focused on the specifics of<br />

its implementation and presented the individual stages of a single quality audit. The purpose of this<br />

chapter was to introduce the different auditing approaches and thus the possible diversity of implementation<br />

of this quality management tool in terms of auditing techniques, team size, scoping,<br />

technical content, etc. Alongside the presented literature review the quality audit implementation<br />

specific to Volkswagen was roughly outlined. One particular insight of this section is the fact that<br />

the effectiveness of the audit can be strongly influenced by auditors’ knowledge of the state-ofthe-art<br />

of the audited production processes. In this regard Volkswagen pursues a good strategy<br />

of maintaining a pool of auditing experts, each with profound process knowledge in a particular<br />

strategic area.<br />

Section 6 presented in detail the two major types of empirical data, which were analyzed<br />

throughout the paper – quality capability and quality performance information. Along with the<br />

processes, which generate the empirical data, the section discussed also particular technical aspects<br />

of the analysis regarding the automated data processing. This discussion outlined one especially<br />

important finding, which is relevant for the more subjective research question defined in the<br />

beginning of the paper regarding improvment potential of Volkswagen’s internal processes. The<br />

challenges faced during the data processing underscored the importance of data management in<br />

large companies and showed once again how complex this task can be.<br />

The challenge at Volkswagen in particular originates, on the one hand, in the different types of<br />

categorizations used by the two Volkswagen departments, which provided the empirical data – material<br />

groups (Volkswagen Purchasing) and product groups (Volkswagen Quality Assurance). This<br />

problem is on the conceptual level and in the meantime has already been addressed by the according<br />

departments in order to improve the information exchange in Volkswagen’s internal processes<br />

such as the corporate sourcing process. Once sufficient amount of empirical data is generated<br />

using the new information management approach, this improvement will also benefit any future<br />

analyses similar to the one presented in this work.<br />

On the other hand, one important aspect which still has to be addressed is the fact that valuable<br />

detailed quality capability information collected during supplier evaluations is stored in a form,<br />

which makes it practically unusable for analysis on a large scale (see Section 6.3). These are<br />

125


data regarding the complexity of the evaluated production processes (number of processing steps),<br />

partial evaluation results for the individual blocks of the auditing questionnaire, etc. Fortunately,<br />

the solution to this particular problem is relatively easy, since the data are generated in an electronic<br />

form. Addressing these problems will allow Volkswagen to gain valuable additional knowledge<br />

about its internal processes and accordingly use it to improve its operations even further.<br />

Section 7 presented the results of the conducted evaluations. Section 7.1 evaluated the quality<br />

of the available empirical data as the integrity of the operational records was of particular interest.<br />

The results of the analysis revealed differences in the completeness of quality performance information<br />

on the regional level. However, considering the specifics of the automotive sector such<br />

differences were to be expected. Nevertheless, the quality of the generated quality performance<br />

records improved over the evaluated time period as regions such as Region 5 (Figure 22) and Region<br />

8 (Figure 25in Section 7.1) demonstrated particularly positive development. All incomplete<br />

records were excluded from the analysis. Due to their small overall amount (less than 5%) it is<br />

assumed that the remaining data set is still representative. Even though the incomplete records<br />

were eliminated, the identified differences between the quality of the regional datasets were the<br />

reason to differentiate between regional data also in the subsequent analysis.<br />

Section 7.2 dealt with potential sources of data bias. Among the evaluated factors were the<br />

influence of revisions of Volkswagen’s quality auditing process (Section 7.2.1), the period of relevance<br />

of quality audit results (Section 7.2.2), as well as calibration of the people involved in<br />

supplier quality evaluation (Section 7.2.3.1) and production quality assessment (Section 7.2.3.2).<br />

Section 7.2.1 compared the quality evaluation results of suppliers carried out according to four<br />

different versions of the Formel Q-Fähigkeit. The initial analysis divided the data based only on<br />

industry type – chemical, electrical, and metal accordingly. The results of the evaluations showed<br />

that quality evaluations according to the fifth and sixth edition of the Formel Q-Fähigkeit (FQF 5<br />

and FQF 6) are not statistically different in all cases, while the conducted Kolmogorov-Smirnov<br />

test showed statistically significant differences between the evaluations according to FQF 3 and<br />

FQF 4 and between these datasets and the former two. Similar results were observed also in most<br />

of the cases on the regional level. These observations showed that the changes of the quality auditing<br />

evaluation criteria do have an influence on the empirical data and if they are not accounted<br />

for could bias the analytical results.<br />

However, there were also several datasets, which were found to be statistically different even<br />

with respect to FQF 5 and FQF 6. Among these are the quality capability evaluations of chemical-<br />

126


part suppliers in Region A (Figure 57 in Section A in the Appendix) and Region G (Figure 63), and<br />

metal-part suppliers in Region C (Figure 71) and Region H (Figure 76). In Region D statistically<br />

significant difference between the datasets was observed for both types of suppliers (Figures 60<br />

and 72).<br />

These observations suggested the presence of another factor, which affects the quality capability<br />

records. This is namely the period of relevance of the auditing results (Section 7.2.2). In<br />

this case the influencing factor is time. Due to the fact that a quality audit is an assessment of<br />

a momentary state of the constantly changing production process, audit’s validity over time also<br />

changes. Thus even effectively conducted audits do not correspond to the actual quality capability<br />

of a supplier after a sufficiently long period of time. To account for this issue it is necessary to<br />

define a suitable weighing function, which will give quality performance records collected around<br />

the time of the audit more importance than the rest of supplier’s quality performance records (see<br />

Section 7.2.2). The definition of such a weighing function is particularly important for regions with<br />

very high fluctuations of the process quality capability such as developing regions. Suitable input<br />

for the definition of a weighing function are supplier-specific process variation indicators such as<br />

process cpk-values, company-specific KPIs, etc. However, the empirical data analyzed here does<br />

not include any such information. This is the reason why, the comparisons between quality capability<br />

and quality performance were restricted mainly to regions with relatively high stability of<br />

suppliers’ production processes such as developed regions.<br />

Section 7.2.3.1 assessed whether there are differences between the evaluations of audit teams in<br />

the individual regions. The majority of the evaluated audit records showed very good consistency,<br />

which implies that Volkswagen’s audit teams are well calibrated. In the few cases, in which statistically<br />

significant difference between the compared datasets was observed, either the number of<br />

observations was so low, that the small size of the datasets is the most probable reason for the statistical<br />

significance of the Kolmogorov-Smirnov test, or the empirical data were subject to specific<br />

regional influences and such differences had to be expected. Thus the observed differences do not<br />

necessarily indicate different calibration of the audit teams. These results show that differences between<br />

the evaluations of the auditors are possible, even when they are equally well calibrated. It is<br />

therefore necessary in any subsequent analysis to also test for differences between the evaluations<br />

of the individual audit teams.<br />

The last section, which addressed a possible biasing factor was Section 7.2.3.2. It evaluated<br />

how similar or how different the quality performance of suppliers is assessed by the individual<br />

127


Volkswagen production facilities. Most of the calculations revealed consistent evaluations of the<br />

individual production plants. However, in several cases the evaluations of one or more production<br />

plants showed systematic deviations from the evaluations of other plants, which received the same<br />

components from the same material group (see Figures 34 through 36 in Section 7.2.3.2). In<br />

these cases the differences are due rather to the heterogeneity of the components comprising a<br />

particular product group (Section 7.2.3.2), than to lack of calibration between the assessment<br />

of individual production facilities. Thus, these results reveal another factor, which could have a<br />

negative influence on the correlation study of quality capability and quality performance of the<br />

suppliers.<br />

After the possible sources of bias in the empirical data were examined, for two datasets quality<br />

performance information was tested for correlation against the quality capability records of the respective<br />

suppliers (Section 7.3). The purpose of these calculations was to test for the initial hypothesis<br />

of this study introduced in Section 3. The results of the linear regressions between the number<br />

of ppm and the respective supplier evaluation scores in the two case studies presented in Figures 38<br />

and 40 do not show any statistically significant evidence that supports the null-hypothesis. Furthermore,<br />

the results of the two case studies did not show any statistically significant evidence also<br />

for differences between the quality capability evaluation results of suppliers, which are reported<br />

to have quality related problems (expressed in terms of ppm), and suppliers, which delivered with<br />

excellent performance record (0 ppm) throughout the entire time period covered by the analysis.<br />

The last section of the presented analysis describes one particularly important finding, which<br />

was not anticipated in the beginning of this project. It turned out that suppliers with quality related<br />

problems differ from suppliers without any problems, not only based on their ppm record<br />

but also on the amount of delivered components. Section 7.4 presents a mathematical derivation<br />

of the relation between the performance record expressed in ppm of suppliers with quality related<br />

problems and the amount of components they delivered. These two quantities have a relatively<br />

simple relationship. Expressed on a double logarithmic scale the mathematical expectation of the<br />

ppm-value as a function of the delivery amount N is asymptotically bound by two straight lines<br />

(see Figure 44 in Section 7.4). Using this information one can deduct valuable information about<br />

the quality capability of a supplier’s production process.<br />

This issue was further investigated for several sets of empirical data, as the relation between<br />

the ppm and the delivered amount of components was tested with a linear regression. Cases, in<br />

which the estimated linear fits are particularly close to the theoretical line limiting the number<br />

128


of ppm, which has an intersect β 0 = 6 and a slope β 1 = −1 (see Section 7.4), suggest that the<br />

respective groups of suppliers did not yet reach their critical delivery amount of N crit , and that<br />

even though they have quality related problems on their records, their production processes seem<br />

to be particularly stable. By contrast, datasets, which reveal slopes of the linear fit close to zero,<br />

require closer attention, since it is very probable that their production processes are not stable<br />

enough. Such information might be a useful contribution for the supplier management process and<br />

can provide assistance in distributing the auditing resources.<br />

8.3 Answers of the Research Questions<br />

Can quality performance of automotive suppliers in the mass production be anticipated based<br />

on quality evaluation of the capability of their production processes?<br />

A definitive answer to this question is not possible at this stage due to several important reasons.<br />

First of all, due to the technical difficulties experienced during the analytical part of this<br />

project (such as difficult access to empirical data) the analysis was seriously restricted in its scope.<br />

The only two cases with relatively small datasets, which were evaluated in Section 7.3, are not representative<br />

for the entire set of empirical data. Therefore, even though the results of the empirical<br />

analysis of the two datasets does not provide sufficient evidence, that the quality performance of<br />

suppliers in these two particular cases can be anticipated based on the evaluation on the capability<br />

of their production processes, this does not definitely mean that such relation does not exist. On the<br />

contrary, further analysis surely has the potential to provide evidence that support this hypothesis.<br />

Furthermore, as already discussed above there are a number of factors, which could potentially<br />

introduce bias. Through statistical evaluation it was shown that the following factors can surely<br />

influence the character of empirical information:<br />

<br />

Revisions of the Formel Q-Fähigkeit;<br />

<br />

Period of relevance of the audit results;<br />

<br />

Coherence of the evaluations of different auditors.<br />

The conducted evaluations surely account for the potential biases mentioned above. On the<br />

other hand, the evaluations are based on quality performance data, which are averaged over the<br />

entire time period considered in the analysis. The data averages were computed without the use<br />

of a weighing function. This approach might not be optimal, given that quality problems with<br />

significantly large time offset from a particular supplier evaluation are given the same weight as<br />

129


problems arising in a point of time close to the actual quality audit. The analysis was also technically<br />

limited given the fact that some of the available operational data was difficult to access.<br />

For example, the analyzed supplier quality capability records do not provide information about<br />

the structure of the evaluated processes. This could eventually result in handling relatively simple<br />

processes the same as processes, which are considerably more complex. Further, the quality<br />

performance information included in the analysis is clustered based on the material group classification,<br />

which in many cases includes a large number of diverse components in the same material<br />

group. These particular factors were not regarded during the analytical stages, and any influences<br />

they might have on the conducted evaluations is not excluded. Such potential bias should definitely<br />

be investigated in any subsequent studies.<br />

Even though the current analysis could not provide a definitive answer to this research question,<br />

it employs important analytical methods, which can serve for guidance of any future works on the<br />

topic. The comprehensive evaluation of the empirical data derived valuable relations and identified<br />

important biasing factors, which have to be definitely avoided in any subsequent analysis. One of<br />

the major contributions of the current analysis was the identification of a second quality predictor<br />

– the amount of delivered components. This paper presented a formal mathematical derivation of<br />

the identified relationship as well as a set of empirical evaluations, which demonstrate its practical<br />

significance. This finding definitely has a lot of potential for further research and can reveal further<br />

valuable aspects of the quality management process.<br />

What is the quality of the quality auditing process at Volkswagen Group and what is its<br />

improvement potential?<br />

The analysis presented in Section 4 showed that the general quality auditing strategy employed<br />

by Volkswagen adequately responds to the quality challenges of the automotive sector. In this<br />

regard the more frequent auditing in developing regions accounts for process instability resulting<br />

from factors such as personnel fluctuations and rapid growth. Furthermore, the increased focus<br />

on sub-supplier audits allows Volkswagen to counteract to another trend in the automotive sector<br />

– the growing complexity of the automotive supply chain. However, as already mentioned previously,<br />

these conclusions are based on qualitative evaluation of the empirical data, and therefore a<br />

quantitative analysis of this aspect is a particularly interesting topic for further research.<br />

Volkswagen’s quality auditing process is defined by good practices also on the level of individual<br />

audits. As already mentioned in Section 5, the comprehensive know-how about the state-of-theart<br />

of the audited processes gives auditors an advantage during the quality audit. Such knowledge<br />

130


allows them to identify potential process weaknesses more quickly and therefore to provide a more<br />

adequate process evaluation in the limited amount of time. The strategy pursued by Volkswagen<br />

to maintain strategic know-how in expert circles is particularly useful to this end. Volkswagen<br />

auditors perform audits mainly in one particular area of specialization, which allows them to accumulate<br />

a very comprehensive knowledge base in that particular area. This approach is much more<br />

efficient than auditing in all possible areas.<br />

Along with the positive aspects of the quality auditing process, based on the experiences gained<br />

throughout this project several particularly important improvement potentials of Volkswagen’s information<br />

management were identified. These can be summarized within the following:<br />

<br />

Categorization of quality capability and quality performance information needs improvement<br />

(mismatch between the material / product group classification, see Section 6.2); A<br />

solution to this particular point has already been implemented by the responsible departments.<br />

However, at the time this project was carried out, the generated empirical data using<br />

the new information management approach was not sufficient for a comprehensive analysis.<br />

The new database, however, is of particular interest for future studies.<br />

<br />

Valuable data from audit reports is very difficult to access (stored as document attachment,<br />

not suitable for analysis, see Section 6.3); however, as already mentioned in the previous<br />

sections a solution is possible with little overhead.<br />

<br />

Incomplete quality performance records are present (Section 7.1); nevertheless, the overall<br />

amount of complete records amounts to more than 95% and the quality of empirical data<br />

shows considerable improvement over time.<br />

Addressing the identified improvement areas will contribute to the quality of the operational<br />

data and will ultimately have positive effect on the learning cycles in the organization.<br />

Even though the discussion presented in this paper focuses on topics from the automotive production,<br />

the analytical approaches and methods used here are applicable in any other business<br />

context. Several important conclusions stem from the presented analysis:<br />

<br />

In order to properly assess the effectiveness of the implementation of second-party quality<br />

auditing specific to a particular company or sector it is necessary to evaluate the auditing process<br />

from two perspectives – strategic employment of the audit expressed in the general audit<br />

plan and its technical implementation expressed in terms of the structuring and execution of<br />

individual quality audits.<br />

131


Frequency of auditing is affected by factors specific to the industry of operation, as well as<br />

the characteristics of the individual markets. To appropriately schedule the quality audits<br />

it is important to understand the specific conditions of a particular business field, which<br />

determine the direction of its development. Example of such factors are regional differences<br />

as well as the economic challenges, which influence companies’ decisions and production<br />

strategies.<br />

<br />

It is important to consider factors, which could potentially influence the individual evaluations<br />

such as calibration of the respective quality auditors.<br />

<br />

One particularly important conclusion, which results from the presented case study is the fact<br />

that a proper management of the quality auditing process is strongly influenced by company’s<br />

approach for management of the operational data obtained during the supplier visits. For this<br />

aspect it is very important to develop a suitable concept and provide the required technical resources,<br />

which allow for seamless regular evaluation of data generated in different phases of<br />

the overall business process. Special attention is required in matching the respective records<br />

especially for data resulting from different departments of the organization. Data analysis is<br />

a necessary step, which boils down the collected knowledge into specific recommendations<br />

for management and continuous improvement of the quality auditing process.<br />

132


Team_A_Chemie_FQF5<br />

Team_A_Chemie_FQF6<br />

Team_A_Chemie_FQF5<br />

Team_A_Chemie_FQF6<br />

Appendices<br />

A Results from the analysis presented in Section 7.2.1<br />

Distribution of Team_A_Chemie_FQF5<br />

Frequency<br />

0 5 10 15 20 25<br />

60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_A_Chemie_FQF6<br />

Frequency<br />

0 5 10 15<br />

60 70 80 90 100<br />

p-values 0,002 2,9E-06<br />

Samples 174 154<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_A_Chemie_FQF5<br />

and Team_A_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.152<br />

p = 0.04596<br />

n_1 = 174<br />

n_2 = 154<br />

Team_A_Chemie_FQF5<br />

Team_A_Chemie_FQF6<br />

60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_A_Chemie_FQF5 1,000 0,046<br />

Team_A_Chemie_FQF6 0,046 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 57: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region A, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

133


Distribution of Team_B_Chemie_FQF4<br />

Distribution of Team_B_Chemie_FQF5<br />

Frequency<br />

0 2 4 6 8<br />

50 60 70 80 90 100<br />

Distribution of Team_B_Chemie_FQF5<br />

Frequency<br />

0 2 4 6 8 10 12<br />

Frequency<br />

0 2 4 6 8 10 12<br />

60 70 80 90 100<br />

Distribution of Team_B_Chemie_FQF6<br />

Frequency<br />

0 1 2 3 4 5<br />

Team_B_Chemie_FQF4<br />

Team_B_Chemie_FQF5<br />

Team_B_Chemie_FQF6<br />

Team_B_Chemie_FQF4<br />

Team_B_Chemie_FQF5<br />

Team_B_Chemie_FQF6<br />

50 60 70 80 90 100<br />

60 70 80 90 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_B_Chemie_FQF4<br />

and Team_B_Chemie_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.09498<br />

p = 0.8501<br />

n_1 = 69<br />

n_2 = 103<br />

Team_B_Chemie_FQF4<br />

Team_B_Chemie_FQF5<br />

50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_B_Chemie_FQF5<br />

and Team_B_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1068<br />

p = 0.9154<br />

n_1 = 103<br />

n_2 = 37<br />

Team_B_Chemie_FQF5<br />

Team_B_Chemie_FQF6<br />

60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 4.0 and FQF 5.0.<br />

(b) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Shapiro-Wilk Normality test p-values<br />

p-values 4,3E-09 2,3E-09 0,003<br />

Samples 69 103 37<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Team_B_Chemie_FQF4 1,000 0,850 0,780<br />

Team_B_Chemie_FQF5 0,850 1,000 0,915<br />

Team_B_Chemie_FQF6 0,780 0,915 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(c) Distribution comparisons summary<br />

Figure 58: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region B, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

134


Team_C_Chemie_FQF5<br />

Team_C_Chemie_FQF6<br />

Team_C_Chemie_FQF5<br />

Team_C_Chemie_FQF6<br />

Distribution of Team_C_Chemie_FQF5<br />

Frequency<br />

0 5 10 15 20 25<br />

50 60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_C_Chemie_FQF6<br />

Frequency<br />

0 5 10 15 20<br />

50 60 70 80 90 100<br />

p-values 1,3E-12 0,003<br />

Samples 202 120<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_C_Chemie_FQF5<br />

and Team_C_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.03408<br />

p = 1<br />

n_1 = 202<br />

n_2 = 120<br />

Team_C_Chemie_FQF5<br />

Team_C_Chemie_FQF6<br />

50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_C_Chemie_FQF5 1,000 1,000<br />

Team_C_Chemie_FQF6 1,000 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 59: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region C, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

135


Team_D_Chemie_FQF5<br />

Team_D_Chemie_FQF6<br />

Team_D_Chemie_FQF5<br />

Team_D_Chemie_FQF6<br />

Distribution of Team_D_Chemie_FQF5<br />

Frequency<br />

0 5 10 15 20<br />

60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_D_Chemie_FQF6<br />

Frequency<br />

0 5 10 20 30<br />

60 70 80 90 100<br />

p-values<br />

5,7E-06 7,4E-06<br />

Samples 79 155<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_D_Chemie_FQF5<br />

and Team_D_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.294<br />

p = 0.0002357<br />

n_1 = 79<br />

n_2 = 155<br />

Team_D_Chemie_FQF5<br />

Team_D_Chemie_FQF6<br />

60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_D_Chemie_FQF5 1,000 2,4E-04<br />

Team_D_Chemie_FQF6 2,4E-04 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 60: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region D, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

136


Team_E_Chemie_FQF5<br />

Team_E_Chemie_FQF6<br />

Team_E_Chemie_FQF5<br />

Team_E_Chemie_FQF6<br />

Distribution of Team_E_Chemie_FQF5<br />

Frequency<br />

0 5 10 15<br />

60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_E_Chemie_FQF6<br />

Frequency<br />

0 2 4 6 8 10<br />

60 70 80 90 100<br />

p-values<br />

3,0E-08 2,3E-07<br />

Samples 154 119<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_E_Chemie_FQF5<br />

and Team_E_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1971<br />

p = 0.01086<br />

n_1 = 154<br />

n_2 = 119<br />

Team_E_Chemie_FQF5<br />

Team_E_Chemie_FQF6<br />

60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_E_Chemie_FQF5 1,000 0,011<br />

Team_E_Chemie_FQF6 0,011 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 61: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region E, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

137


Distribution of Team_F_Chemie_FQF4<br />

Distribution of Team_F_Chemie_FQF5<br />

Frequency<br />

0 10 20 30 40<br />

65 70 75 80 85 90 95 100<br />

Distribution of Team_F_Chemie_FQF5<br />

Frequency<br />

0 5 10 15 20 25 30<br />

Frequency<br />

0 5 10 15 20 25 30<br />

70 75 80 85 90 95 100<br />

Distribution of Team_F_Chemie_FQF6<br />

Frequency<br />

0 5 10 15 20<br />

Team_F_Chemie_FQF4<br />

Team_F_Chemie_FQF5<br />

Team_F_Chemie_FQF6<br />

Team_F_Chemie_FQF4<br />

Team_F_Chemie_FQF5<br />

Team_F_Chemie_FQF6<br />

65 70 75 80 85 90 95 100<br />

70 75 80 85 90 95 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_F_Chemie_FQF4<br />

and Team_F_Chemie_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1747<br />

p = 0.005529<br />

n_1 = 177<br />

n_2 = 212<br />

Team_F_Chemie_FQF4<br />

Team_F_Chemie_FQF5<br />

65 70 75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_F_Chemie_FQF5<br />

and Team_F_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.08201<br />

p = 0.6845<br />

n_1 = 212<br />

n_2 = 119<br />

Team_F_Chemie_FQF5<br />

Team_F_Chemie_FQF6<br />

70 75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 4.0 and FQF 5.0.<br />

(b) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Shapiro-Wilk Normality test p-values<br />

p-values<br />

3,3E-11 5,5E-10 4,5E-08<br />

Samples 177 212 119<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Team_F_Chemie_FQF4 1,000 0,006 1,7E-04<br />

Team_F_Chemie_FQF5 0,006 1,000 0,684<br />

Team_F_Chemie_FQF6 1,7E-04 0,684 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(c) Distribution comparisons summary<br />

Figure 62: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region F, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

138


Team_G_Chemie_FQF5<br />

Team_G_Chemie_FQF6<br />

Team_G_Chemie_FQF5<br />

Team_G_Chemie_FQF6<br />

Distribution of Team_G_Chemie_FQF5<br />

Frequency<br />

0 5 10 15<br />

75 80 85 90 95 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_G_Chemie_FQF6<br />

Frequency<br />

0 10 20 30 40<br />

75 80 85 90 95 100<br />

p-values<br />

9,2E-06 9,6E-09<br />

Samples 102 125<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_G_Chemie_FQF5<br />

and Team_G_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2264<br />

p = 0.006305<br />

n_1 = 102<br />

n_2 = 125<br />

Team_G_Chemie_FQF5<br />

Team_G_Chemie_FQF6<br />

75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_G_Chemie_FQF5 1,000 0,006<br />

Team_G_Chemie_FQF6 0,006 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 63: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region G, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

139


Team_H_Chemie_FQF5<br />

Team_H_Chemie_FQF6<br />

Team_H_Chemie_FQF5<br />

Team_H_Chemie_FQF6<br />

Distribution of Team_H_Chemie_FQF5<br />

Frequency<br />

0 5 10 15<br />

40 50 60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_H_Chemie_FQF6<br />

Frequency<br />

0 5 10 15 20 25<br />

40 50 60 70 80 90 100<br />

p-values<br />

2,1E-04 1,5E-11<br />

Samples 139 147<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_H_Chemie_FQF5<br />

and Team_H_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.09382<br />

p = 0.5556<br />

n_1 = 139<br />

n_2 = 147<br />

Team_H_Chemie_FQF5<br />

Team_H_Chemie_FQF6<br />

40 50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_H_Chemie_FQF5 1,000 0,556<br />

Team_H_Chemie_FQF6 0,556 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 64: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region H, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

140


Team_I_Chemie_FQF5<br />

Team_I_Chemie_FQF6<br />

Team_I_Chemie_FQF5<br />

Team_I_Chemie_FQF6<br />

Distribution of Team_I_Chemie_FQF5<br />

Frequency<br />

0 2 4 6 8 10<br />

80 85 90 95 100<br />

Shapiro-Wilk Normality test p-values<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

Distribution of Team_I_Chemie_FQF6<br />

80 85 90 95 100<br />

p-values 0,020 0,087<br />

Samples 41 42<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_I_Chemie_FQF5<br />

and Team_I_Chemie_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1603<br />

p = 0.6608<br />

n_1 = 41<br />

n_2 = 42<br />

Team_I_Chemie_FQF5<br />

Team_I_Chemie_FQF6<br />

80 85 90 95 100<br />

Evaluation Scores [%]<br />

Team_I_Chemie_FQF5 1,000 0,661<br />

Team_I_Chemie_FQF6 0,661 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

(b) Distribution comparisons summary<br />

Figure 65: Distribution comparisons between the evaluation scores of chemical-part suppliers<br />

located in Region I, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

141


Team_C_Elektrik_FQF5<br />

Team_C_Elektrik_FQF6<br />

Team_C_Elektrik_FQF5<br />

Team_C_Elektrik_FQF6<br />

Distribution of Team_C_Elektrik_FQF5<br />

Frequency<br />

0 1 2 3 4 5 6<br />

65 70 75 80 85 90 95 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_C_Elektrik_FQF6<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

65 70 75 80 85 90 95 100<br />

p-values 0,017 0,001<br />

Samples 50 55<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_C_Elektrik_FQF5<br />

and Team_C_Elektrik_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1673<br />

p = 0.4562<br />

n_1 = 50<br />

n_2 = 55<br />

Team_C_Elektrik_FQF5<br />

Team_C_Elektrik_FQF6<br />

65 70 75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_C_Elektrik_FQF5 1,000 0,456<br />

Team_C_Elektrik_FQF6 0,456 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 66: Distribution comparisons between the evaluation scores of electrical-part suppliers<br />

located in Region C, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

142


Team_E_Elektrik_FQF5<br />

Team_E_Elektrik_FQF6<br />

Team_E_Elektrik_FQF5<br />

Team_E_Elektrik_FQF6<br />

Distribution of Team_E_Elektrik_FQF5<br />

Frequency<br />

0 2 4 6 8 10<br />

75 80 85 90 95 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_E_Elektrik_FQF6<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

75 80 85 90 95 100<br />

p-values 0,005 0,017<br />

Samples 52 23<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_E_Elektrik_FQF5<br />

and Team_E_Elektrik_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.3403<br />

p = 0.04977<br />

n_1 = 52<br />

n_2 = 23<br />

Team_E_Elektrik_FQF5<br />

Team_E_Elektrik_FQF6<br />

75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_E_Elektrik_FQF5 1,000 0,050<br />

Team_E_Elektrik_FQF6 0,050 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 67: Distribution comparisons between the evaluation scores of electrical-part suppliers<br />

located in Region E, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

143


Distribution of Team_F_Elektrik_FQF4<br />

Distribution of Team_F_Elektrik_FQF5<br />

Frequency<br />

0 5 10 15 20<br />

70 80 90 100<br />

Distribution of Team_F_Elektrik_FQF5<br />

Frequency<br />

0 5 10 15<br />

Frequency<br />

0 5 10 15<br />

70 80 90 100<br />

Distribution of Team_F_Elektrik_FQF6<br />

Frequency<br />

0 2 4 6 8 10<br />

Team_F_Elektrik_FQF4<br />

Team_F_Elektrik_FQF5<br />

Team_F_Elektrik_FQF6<br />

Team_F_Elektrik_FQF4<br />

Team_F_Elektrik_FQF5<br />

Team_F_Elektrik_FQF6<br />

70 80 90 100<br />

70 80 90 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_F_Elektrik_FQF4<br />

and Team_F_Elektrik_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2556<br />

p = 0.009894<br />

n_1 = 126<br />

n_2 = 60<br />

Team_F_Elektrik_FQF4<br />

Team_F_Elektrik_FQF5<br />

70 80 90 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_F_Elektrik_FQF5<br />

and Team_F_Elektrik_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2358<br />

p = 0.1333<br />

n_1 = 60<br />

n_2 = 41<br />

Team_F_Elektrik_FQF5<br />

Team_F_Elektrik_FQF6<br />

70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 4.0 and FQF 5.0.<br />

(b) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Shapiro-Wilk Normality test p-values<br />

p-values 1,7E-08 1,3E-08 0,001<br />

Samples 126 60 41<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Team_F_Elektrik_FQF4 1,000 0,010 0,024<br />

Team_F_Elektrik_FQF5 0,010 1,000 0,133<br />

Team_F_Elektrik_FQF6 0,024 0,133 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(c) Distribution comparisons summary<br />

Figure 68: Distribution comparisons between the evaluation scores of electrical-part suppliers<br />

located in Region F, performed according to different versions of Formel Q-Fähigkeit by the local<br />

audit team.<br />

144


Team_A_Metal_FQF5<br />

Team_A_Metal_FQF6<br />

Team_A_Metal_FQF5<br />

Team_A_Metal_FQF6<br />

Distribution of Team_A_Metal_FQF5<br />

Frequency<br />

0 5 10 20 30<br />

50 60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_A_Metal_FQF6<br />

Frequency<br />

0 5 10 20 30<br />

50 60 70 80 90 100<br />

p-values<br />

1,5E-12 1,1E-09<br />

Samples 209 303<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_A_Metal_FQF5<br />

and Team_A_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1094<br />

p = 0.1037<br />

n_1 = 209<br />

n_2 = 303<br />

Team_A_Metal_FQF5<br />

Team_A_Metal_FQF6<br />

50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_A_Metal_FQF5 1,000 0,104<br />

Team_A_Metal_FQF6 0,104 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 69: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region A, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

145


Distribution of Team_B_Metal_FQF4<br />

Distribution of Team_B_Metal_FQF5<br />

Frequency<br />

0 5 10 15<br />

60 70 80 90 100<br />

Distribution of Team_B_Metal_FQF5<br />

Frequency<br />

0 2 4 6 8 10 14<br />

Frequency<br />

0 2 4 6 8 10 14<br />

80 85 90 95 100<br />

Distribution of Team_B_Metal_FQF6<br />

Frequency<br />

0 2 4 6 8 10<br />

Team_B_Metal_FQF4<br />

Team_B_Metal_FQF5<br />

Team_B_Metal_FQF6<br />

Team_B_Metal_FQF4<br />

Team_B_Metal_FQF5<br />

Team_B_Metal_FQF6<br />

60 70 80 90 100<br />

80 85 90 95 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_B_Metal_FQF4<br />

and Team_B_Metal_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2226<br />

p = 0.04086<br />

n_1 = 126<br />

n_2 = 57<br />

Team_B_Metal_FQF4<br />

Team_B_Metal_FQF5<br />

60 70 80 90 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_B_Metal_FQF5<br />

and Team_B_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1602<br />

p = 0.5309<br />

n_1 = 57<br />

n_2 = 46<br />

Team_B_Metal_FQF5<br />

Team_B_Metal_FQF6<br />

80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 4.0 and FQF 5.0.<br />

(b) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Shapiro-Wilk Normality test p-values<br />

p-values 7,0E-10 0,002 0,002<br />

Samples 126 57 46<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Team_B_Metal_FQF4 1,000 0,041 0,479<br />

Team_B_Metal_FQF5 0,041 1,000 0,531<br />

Team_B_Metal_FQF6 0,479 0,531 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(c) Distribution comparisons summary<br />

Figure 70: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region B, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

146


Team_C_Metal_FQF5<br />

Team_C_Metal_FQF6<br />

Team_C_Metal_FQF5<br />

Team_C_Metal_FQF6<br />

Distribution of Team_C_Metal_FQF5<br />

Frequency<br />

0 5 10 20 30<br />

70 75 80 85 90 95 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_C_Metal_FQF6<br />

Frequency<br />

0 5 10 15 20 25<br />

70 75 80 85 90 95 100<br />

p-values<br />

4,6E-06 6,4E-07<br />

Samples 171 157<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_C_Metal_FQF5<br />

and Team_C_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2306<br />

p = 0.0003314<br />

n_1 = 171<br />

n_2 = 157<br />

Team_C_Metal_FQF5<br />

Team_C_Metal_FQF6<br />

70 75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_C_Metal_FQF5 1,000 3,3E-04<br />

Team_C_Metal_FQF6 3,3E-04 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 71: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region C, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

147


Team_D_Metal_FQF5<br />

Team_D_Metal_FQF6<br />

Team_D_Metal_FQF5<br />

Team_D_Metal_FQF6<br />

Distribution of Team_D_Metal_FQF5<br />

Frequency<br />

0 2 4 6 8 10<br />

50 60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_D_Metal_FQF6<br />

Frequency<br />

0 5 10 20 30<br />

50 60 70 80 90 100<br />

p-values<br />

4,8E-07 5,8E-06<br />

Samples 88 116<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_D_Metal_FQF5<br />

and Team_D_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.3433<br />

p = 1.513e−05<br />

n_1 = 88<br />

n_2 = 116<br />

Team_D_Metal_FQF5<br />

Team_D_Metal_FQF6<br />

50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_D_Metal_FQF5 1,000 1,5E-05<br />

Team_D_Metal_FQF6 1,5E-05 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 72: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region D, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

148


Team_E_Metal_FQF5<br />

Team_E_Metal_FQF6<br />

Team_E_Metal_FQF5<br />

Team_E_Metal_FQF6<br />

Distribution of Team_E_Metal_FQF5<br />

Frequency<br />

0 2 4 6 8 10 14<br />

70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_E_Metal_FQF6<br />

Frequency<br />

0 5 10 15<br />

70 80 90 100<br />

p-values 1,5E-04 0,006<br />

Samples 111 125<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_E_Metal_FQF5<br />

and Team_E_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1103<br />

p = 0.4722<br />

n_1 = 111<br />

n_2 = 125<br />

Team_E_Metal_FQF5<br />

Team_E_Metal_FQF6<br />

70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_E_Metal_FQF5 1,000 0,472<br />

Team_E_Metal_FQF6 0,472 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 73: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region E, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

149


Distribution of Team_F_Metal_FQF4<br />

Distribution of Team_F_Metal_FQF5<br />

Frequency<br />

0 10 20 30 40 50 60<br />

70 80 90 100<br />

Distribution of Team_F_Metal_FQF5<br />

Frequency<br />

0 10 20 30 40<br />

Frequency<br />

0 10 20 30 40<br />

70 80 90 100<br />

Distribution of Team_F_Metal_FQF6<br />

Frequency<br />

0 5 10 20 30<br />

Team_F_Metal_FQF4<br />

Team_F_Metal_FQF5<br />

Team_F_Metal_FQF6<br />

Team_F_Metal_FQF4<br />

Team_F_Metal_FQF5<br />

Team_F_Metal_FQF6<br />

70 80 90 100<br />

70 80 90 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_F_Metal_FQF4<br />

and Team_F_Metal_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2195<br />

p = 5.419e−06<br />

n_1 = 310<br />

n_2 = 233<br />

Team_F_Metal_FQF4<br />

Team_F_Metal_FQF5<br />

70 80 90 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_F_Metal_FQF5<br />

and Team_F_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.08616<br />

p = 0.4483<br />

n_1 = 233<br />

n_2 = 175<br />

Team_F_Metal_FQF5<br />

Team_F_Metal_FQF6<br />

70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 4.0 and FQF 5.0.<br />

(b) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Shapiro-Wilk Normality test p-values<br />

p-values<br />

1,9E-14 4,8E-09 1,2E-13<br />

Samples 310 233 175<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Team_F_Metal_FQF4 1,000 5,4E-06 3,7E-04<br />

Team_F_Metal_FQF5 5,4E-06 1,000 0,448<br />

Team_F_Metal_FQF6 3,7E-04 0,448 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(c) Distribution comparisons summary<br />

Figure 74: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region F, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

150


Team_G_Metal_FQF5<br />

Team_G_Metal_FQF6<br />

Team_G_Metal_FQF5<br />

Team_G_Metal_FQF6<br />

Distribution of Team_G_Metal_FQF5<br />

Frequency<br />

0 5 10 15 20 25<br />

75 80 85 90 95 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_G_Metal_FQF6<br />

Frequency<br />

0 10 20 30<br />

75 80 85 90 95 100<br />

p-values<br />

8,4E-07 3,0E-10<br />

Samples 85 89<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_G_Metal_FQF5<br />

and Team_G_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1309<br />

p = 0.4459<br />

n_1 = 85<br />

n_2 = 89<br />

Team_G_Metal_FQF5<br />

Team_G_Metal_FQF6<br />

75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_G_Metal_FQF5 1,000 0,446<br />

Team_G_Metal_FQF6 0,446 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 75: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region G, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

151


Team_H_Metal_FQF5<br />

Team_H_Metal_FQF6<br />

Team_H_Metal_FQF5<br />

Team_H_Metal_FQF6<br />

Distribution of Team_H_Metal_FQF5<br />

Frequency<br />

0 5 10 20 30<br />

50 60 70 80 90 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_H_Metal_FQF6<br />

Frequency<br />

0 5 15 25 35<br />

50 60 70 80 90 100<br />

p-values<br />

4,2E-14 2,1E-13<br />

Samples 160 185<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_H_Metal_FQF5<br />

and Team_H_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.3093<br />

p = 1.487e−07<br />

n_1 = 160<br />

n_2 = 185<br />

Team_H_Metal_FQF5<br />

Team_H_Metal_FQF6<br />

50 60 70 80 90 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_H_Metal_FQF5 1,000 1,5E-07<br />

Team_H_Metal_FQF6 1,5E-07 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 76: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region H, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

152


Distribution of Team_I_Metal_FQF4<br />

Distribution of Team_I_Metal_FQF5<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

80 85 90 95 100<br />

Frequency<br />

0 1 2 3 4 5<br />

65 70 75 80 85 90 95 100<br />

Distribution of Team_I_Metal_FQF5<br />

Distribution of Team_I_Metal_FQF6<br />

Frequency<br />

0 1 2 3 4 5<br />

Frequency<br />

0 2 4 6 8 10<br />

Team_I_Metal_FQF4<br />

Team_I_Metal_FQF5<br />

Team_I_Metal_FQF6<br />

Team_I_Metal_FQF4<br />

Team_I_Metal_FQF5<br />

Team_I_Metal_FQF6<br />

80 85 90 95 100<br />

65 70 75 80 85 90 95 100<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_I_Metal_FQF4<br />

and Team_I_Metal_FQF5<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.3271<br />

p = 0.1774<br />

n_1 = 19<br />

n_2 = 28<br />

Team_I_Metal_FQF4<br />

Team_I_Metal_FQF5<br />

80 85 90 95 100<br />

Evaluation Scores [%]<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_I_Metal_FQF5<br />

and Team_I_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.09921<br />

p = 0.9934<br />

n_1 = 28<br />

n_2 = 54<br />

Team_I_Metal_FQF5<br />

Team_I_Metal_FQF6<br />

65 70 75 80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 4.0 and FQF 5.0.<br />

(b) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,694 0,647 7,7E-08<br />

Samples 19 28 54<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Team_I_Metal_FQF4 1,000 0,177 0,063<br />

Team_I_Metal_FQF5 0,177 1,000 0,993<br />

Team_I_Metal_FQF6 0,063 0,993 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(c) Distribution comparisons summary<br />

Figure 77: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region I, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

153


Team_J_Metal_FQF5<br />

Team_J_Metal_FQF6<br />

Team_J_Metal_FQF5<br />

Team_J_Metal_FQF6<br />

Distribution of Team_J_Metal_FQF5<br />

Frequency<br />

0 1 2 3 4 5<br />

80 85 90 95 100<br />

Shapiro-Wilk Normality test p-values<br />

Distribution of Team_J_Metal_FQF6<br />

Frequency<br />

0 2 4 6 8 10<br />

80 85 90 95 100<br />

p-values 0,036 0,146<br />

Samples 31 72<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

CDFs for Team_J_Metal_FQF5<br />

and Team_J_Metal_FQF6<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1962<br />

p = 0.3744<br />

n_1 = 31<br />

n_2 = 72<br />

Team_J_Metal_FQF5<br />

Team_J_Metal_FQF6<br />

80 85 90 95 100<br />

Evaluation Scores [%]<br />

(a) Evaluations according to FQF 5.0 and FQF 6.0.<br />

Team_J_Metal_FQF5 1,000 0,374<br />

Team_J_Metal_FQF6 0,374 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(b) Distribution comparisons summary<br />

Figure 78: Distribution comparisons between the evaluation scores of metal-part suppliers located<br />

in Region J, performed according to different versions of Formel Q-Fähigkeit by the local audit<br />

team.<br />

154


B Results from the analysis presented in Section 7.2.3.2<br />

Distribution of E_G_WSGR_0058_Plant_E_ppm<br />

Frequency<br />

0 1 2 3 4 5 6<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

Plant: E<br />

WSGR: 0058<br />

Plant: G<br />

WSGR: 0058<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Plant: E<br />

WSGR: 0058<br />

Plant: G<br />

WSGR: 0058<br />

1 2 3 4<br />

Distribution of E_G_WSGR_0058_Plant_G_ppm<br />

1 2 3 4<br />

CDFs for E_G_WSGR_0058_Plant_E_ppm<br />

and E_G_WSGR_0058_Plant_G_ppm<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2667<br />

p = 0.6781<br />

n_1 = 15<br />

n_2 = 15<br />

E_G_WSGR_0058_Plant_E_ppm<br />

E_G_WSGR_0058_Plant_G_ppm<br />

1 2 3 4<br />

ppm Scores [log]<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,015 0,028<br />

Samples 15 15<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: E<br />

WSGR: 0058<br />

Plant: G<br />

WSGR: 0058<br />

1,000 0,678<br />

0,678 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Performance records comparison based on ppm<br />

(b) Distribution comparison summary<br />

Figure 79: Comparison between the quality performance records of the same 15 suppliers reported<br />

by two different plants – Plant E and Plant G. The reported defective parts per million (ppm) refer<br />

to quality problems of components from the material group 0058 (”Moulded parts < DIN A4 for<br />

body”).<br />

155


Distribution of H_I_WSGR_0058_Plant_H_ppm<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

Frequency<br />

0 1 2 3 4<br />

Plant: H<br />

WSGR: 0058<br />

Plant: I<br />

WSGR: 0058<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Plant: H<br />

WSGR: 0058<br />

Plant: I<br />

WSGR: 0058<br />

0 1 2 3<br />

Distribution of H_I_WSGR_0058_Plant_I_ppm<br />

0 1 2 3<br />

CDFs for H_I_WSGR_0058_Plant_H_ppm<br />

and H_I_WSGR_0058_Plant_I_ppm<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.3<br />

p = 0.7869<br />

n_1 = 10<br />

n_2 = 10<br />

H_I_WSGR_0058_Plant_H_ppm<br />

H_I_WSGR_0058_Plant_I_ppm<br />

0 1 2 3<br />

ppm Scores [log]<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,601 0,044<br />

Samples 10 10<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: H<br />

WSGR: 0058<br />

Plant: I<br />

WSGR: 0058<br />

1,000 0,787<br />

0,787 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Performance records comparison based on ppm<br />

(b) Distribution comparison summary<br />

Figure 80: Comparison between the quality performance records of the same 10 suppliers reported<br />

by two different plants – Plant H and Plant I. The reported defective parts per million (ppm) refer<br />

to quality problems of components from the material group 0058 (”Moulded parts < DIN A4 for<br />

body”).<br />

156


Distribution of O_P_WSGR_0058_Plant_O_ppm<br />

Frequency<br />

0 1 2 3 4 5 6 7<br />

Frequency<br />

0 1 2 3 4 5 6<br />

Plant: O<br />

WSGR: 0058<br />

Plant: P<br />

WSGR: 0058<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Plant: O<br />

WSGR: 0058<br />

Plant: P<br />

WSGR: 0058<br />

0 1 2 3 4<br />

Distribution of O_P_WSGR_0058_Plant_P_ppm<br />

0 1 2 3 4<br />

CDFs for O_P_WSGR_0058_Plant_O_ppm<br />

and O_P_WSGR_0058_Plant_P_ppm<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.4667<br />

p = 0.07626<br />

n_1 = 15<br />

n_2 = 15<br />

O_P_WSGR_0058_Plant_O_ppm<br />

O_P_WSGR_0058_Plant_P_ppm<br />

0 1 2 3 4<br />

ppm Scores [log]<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,002 0,009<br />

Samples 15 15<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: O<br />

WSGR: 0058<br />

Plant: P<br />

WSGR: 0058<br />

1,000 0,076<br />

0,076 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Performance records comparison based on ppm<br />

(b) Distribution comparison summary<br />

Figure 81: Comparison between the quality performance records of the same 15 suppliers reported<br />

by two different plants – Plant O and Plant P. The reported defective parts per million (ppm) refer<br />

to quality problems of components from the material group 0058 (”Moulded parts < DIN A4 for<br />

body”).<br />

157


Distribution of B_K_WSGR_0068_Plant_B_ppm<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

Frequency<br />

0 1 2 3 4 5 6<br />

Plant: B<br />

WSGR: 0068<br />

Plant: K<br />

WSGR: 0068<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Plant: B<br />

WSGR: 0068<br />

Plant: K<br />

WSGR: 0068<br />

0 1 2 3 4<br />

Distribution of B_K_WSGR_0068_Plant_K_ppm<br />

0 1 2 3 4<br />

CDFs for B_K_WSGR_0068_Plant_B_ppm<br />

and B_K_WSGR_0068_Plant_K_ppm<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.2667<br />

p = 0.6604<br />

n_1 = 15<br />

n_2 = 15<br />

B_K_WSGR_0068_Plant_B_ppm<br />

B_K_WSGR_0068_Plant_K_ppm<br />

0 1 2 3 4<br />

ppm Scores [log]<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,720 0,085<br />

Samples 15 15<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: B<br />

WSGR: 0068<br />

Plant: K<br />

WSGR: 0068<br />

1,000 0,660<br />

0,660 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Performance records comparison based on ppm<br />

(b) Distribution comparison summary<br />

Figure 82: Comparison between the quality performance records of the same 15 suppliers reported<br />

by two different plants – Plant B and Plant K. The reported defective parts per million (ppm) refer<br />

to quality problems of components from the material group 0068 (”Moulded parts > DIN A4 for<br />

body”).<br />

158


Distribution of H_I_WSGR_0068_Plant_H_ppm<br />

Frequency<br />

0 1 2 3 4<br />

Frequency<br />

0.0 1.0 2.0 3.0<br />

Plant: H<br />

WSGR: 0068<br />

Plant: I<br />

WSGR: 0068<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Plant: H<br />

WSGR: 0068<br />

Plant: I<br />

WSGR: 0068<br />

0 1 2 3<br />

Distribution of H_I_WSGR_0068_Plant_I_ppm<br />

0 1 2 3<br />

CDFs for H_I_WSGR_0068_Plant_H_ppm<br />

and H_I_WSGR_0068_Plant_I_ppm<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.3571<br />

p = 0.3338<br />

n_1 = 14<br />

n_2 = 14<br />

H_I_WSGR_0068_Plant_H_ppm<br />

H_I_WSGR_0068_Plant_I_ppm<br />

0 1 2 3<br />

ppm Scores [log]<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,219 0,851<br />

Samples 14 14<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: H<br />

WSGR: 0068<br />

Plant: I<br />

WSGR: 0068<br />

1,000 0,334<br />

0,334 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Performance records comparison based on ppm<br />

(b) Distribution comparison summary<br />

Figure 83: Comparison between the quality performance records of the same 14 suppliers reported<br />

by two different plants – Plant H and Plant I. The reported defective parts per million (ppm) refer<br />

to quality problems of components from the material group 0068 (”Moulded parts > DIN A4 for<br />

body”).<br />

159


Distribution of N_O_WSGR_0068_Plant_N_ppm<br />

Frequency<br />

0 1 2 3 4 5<br />

Frequency<br />

0 1 2 3 4 5<br />

Plant: N<br />

WSGR: 0068<br />

Plant: O<br />

WSGR: 0068<br />

f(x)<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Plant: N<br />

WSGR: 0068<br />

Plant: O<br />

WSGR: 0068<br />

0 1 2 3 4<br />

Distribution of N_O_WSGR_0068_Plant_O_ppm<br />

0 1 2 3 4<br />

CDFs for N_O_WSGR_0068_Plant_N_ppm<br />

and N_O_WSGR_0068_Plant_O_ppm<br />

Two−sample Kolmogorov−Smirnov test<br />

D = 0.1875<br />

p = 0.9412<br />

n_1 = 16<br />

n_2 = 16<br />

N_O_WSGR_0068_Plant_N_ppm<br />

N_O_WSGR_0068_Plant_O_ppm<br />

0 1 2 3 4<br />

ppm Scores [log]<br />

Shapiro-Wilk Normality test p-values<br />

p-values 0,269 0,124<br />

Samples 16 16<br />

Kolmogorov-Smirnov Distribution Comparison test<br />

p-values matrix<br />

Plant: N<br />

WSGR: 0068<br />

Plant: O<br />

WSGR: 0068<br />

1,000 0,941<br />

0,941 1,000<br />

significant on the 10% significance level<br />

significant on the 5% significance level<br />

(a) Performance records comparison based on ppm<br />

(b) Distribution comparison summary<br />

Figure 84: Comparison between the quality performance records of the same 16 suppliers reported<br />

by two different plants – Plant N and Plant O. The reported defective parts per million (ppm) refer<br />

to quality problems of components from the material group 0068 (”Moulded parts > DIN A4 for<br />

body”).<br />

160


B.1 List of Material Groups<br />

Table 6 includes the codes of all material groups which appear in the analysis presented in this<br />

paper and their names. Note that the complete definition of the Volkswagen material groups comprises<br />

of three levels of detail. However, here only the second level is listed, since this is the only<br />

material group level available in suppliers’ quality performance records analyzed here.<br />

Table 6: List of product groups and their names. (Source: Volkswagen AG, 2010)<br />

Material Group Number Description Number of Subgroups<br />

0058 Moulded parts < DIN A4 for body 2<br />

0068 Moulded parts > DIN A4 for body 4<br />

0096 Reservoirs, covers, pipes, wires 15<br />

0099 Column trim, sill plates 4<br />

0105 Bumper, Spoiler 2<br />

0302 Light metal cast engine parts 1<br />

0337 Light metal cast gearbox parts 4<br />

0480 Pipes, pipe parts per drawing 13<br />

0485 Swivel plates 1<br />

161


References<br />

Abele, E., Meyer, T., Näher, U., Strube, G., & Sykes, R. (2008). Global production: A handbook<br />

for strategy and implementation. Springer-Verlag Berlin Heidelberg.<br />

Agência AutoData Weekly Edition (multiple editions). (2009–2012). AutoData Editora Ltda. São<br />

Paulo, Brazil.<br />

Arter, D. R. (1989). Quality audits for improved performance. ASQC Quality Press.<br />

Benton, Jr., W. C. (2007). Purchasing and supply management. McGraw-Hill.<br />

Bunkley, N., & Maynard, M. (2010, 29 January). With recall expanding, Toyota gives an apology.<br />

The New York Times. (Accessed on http://www.nytimes.com/2010/01/<br />

30/business/30toyota.html? r=1 in August, 2011)<br />

Business (definition). (2012). Cambridge Dictionaries Online. (Accessed on http://<br />

dictionary.cambridge.org/ in May, 2012)<br />

Car sales slump, but exports pick up. (2011, 13 October). Economist Inteligence Unit (Access<br />

China newsletter).<br />

Choy, K., Lee, W., & Lo, V. (2002). An intelligent supplier management tool for benchmarking<br />

suppliers in outsource manufacturing. Expert Systems with Applications, 22, 213–224.<br />

Cook, R. D. (1977, February). Detection of influential observation in linear regression. Technometrics,<br />

19(1), 15–18.<br />

Cook, R. D. (1979, March). Influential observations in linear regression. Journal of the American<br />

Statistical Association, 74(365), 169–174.<br />

D’Antona, G., & Ferrero, A. (2006). Digital signal processing for measurements systems: Theory<br />

and applications. Springer Science + Business Media, Inc.<br />

Davis, T. (1993, Summer). Effective supply chain management. Sloan Management Review,<br />

35–46.<br />

DIN ISO 19011: Leitfaden zur Auditierung von Managementsystemen (ISO 19011:2011). (2011,<br />

December). DIN Deutsches Insistut für Normung e.V.<br />

DIN ISO 9000: Qualitätsmanagementsysteme – Grundlagen und Begriffe (ISO 9000:2005); Dreisprachige<br />

Fassung EN ISO 9000:2005. (2005, December). DIN Deutsches Insistut für Normung<br />

e.V.<br />

DIN ISO 9001: Qualitätsmanagementsysteme – Anforderungen (ISO 9001:2008); Dreisprachige<br />

Fassung EN ISO 9001:2008. (2008, December). DIN Deutsches Insistut für Normung e.V.<br />

DIN ISO/TS 16949: Qualitätsmanagementsysteme – Besondere Anforderungnen bei Anwendung<br />

von ISO 9001:2008 für die Serien- und Ersatzteil-Produktion in der Automobilindustrie<br />

(ISO/TS 16949:2009). (2009, November). DIN Deutsches Insistut für Normung e.V.<br />

Dun & Bradstreet (D&B). (2012). (Accessed on http://www.dnb.com/ in 2012)<br />

The EFQM Excellence Model. (2012). European Foundation for Quality Management. (Accessed<br />

on http://www.efqm.org in May, 2012)<br />

Faraway, J. J. (2002, July). Practical regression and anova using R.<br />

Flat file copies of NHTSA/ODI databases: Recalls. (2011). National Highway Traffic<br />

Safety Administration. Washington DC, USA. (Accessed in September, 2011 via<br />

www.safecar.gov)<br />

Formel Q-Capability: Quality Capability Suppliers Assessment Guidelines. (2009, August).<br />

Volkswagen AG. Wolfsburg, Germany. (sixth edition (English))<br />

Formel Q-Fähigkeit: Qualitätsfähigkeit Lieferanten Beurteilungsrichtlinie. (2009, August).<br />

Volkswagen AG. Wolfsburg, Germany. (sixth edition)<br />

Formel Q-konkret: Qualitätsmanagementvereinbarung zwischen den Gesellschaften des<br />

VOLKSWAGEN-KONZERNS und seinen Lieferanten. (2008, September). Volkswagen AG.<br />

Wolfsburg, Germany. (fourth edition)<br />

162


Formula Q-concrete: Quality management agreement between the companies of the<br />

VOLKSWAGEN GROUP and its suppliers. (2008, September). Volkswagen AG. Wolfsburg,<br />

Germany. (fourth edition (English))<br />

Gomes, C. (2011, March 29). Global auto industry faces component-shortage risk – cutbacks<br />

are spreading beyond Japan (Tech. Rep.). Scotiabank Group. (Global Economic Research:<br />

Global Auto Report)<br />

Green, D. (1997). ISO 9000 quality systems auditing. Gower.<br />

Gropp, M. (2009). Konzept zur erhöhung der effektivität von zertifizierungsaudits im<br />

qualitätsmanagement. Unpublished doctoral dissertation, Fakultät V – Verkehrs- und<br />

Maschinensysteme der Technischen Universität Berlin.<br />

Hadzhiev, B. (2009, August). Quality auditing in the automotive industry: In-depth methodology<br />

analysis. Bremen, Germany.<br />

Hendricks, K. B., & Singhal, V. R. (2000, March). The impact of total quality management (TQM)<br />

on financial performance: Evidence from quality award winners. <strong>University</strong> of Western<br />

Ontario / Georgia Institute of Technology.<br />

Hoyle, D. (2005). Automotive quality systems handbook: Incorporating ISO/TS 16949:2002<br />

(second ed.). Elsevier Butterworth-Heinemann.<br />

Karrenberg, U. (2002). An interactive multimedia introduction to signal processing (second ed.).<br />

Springer-Verlag Berlin Heidelberg.<br />

Lan, Y., & Unhelkar, B. (2006). Global integrated supply chain systems. London, United Kingdom:<br />

Idea Group Inc.<br />

Lee, E.-K., Ha, S., & Kim, S.-K. (2001, August). Supplier selection and management system<br />

considering relationships in supply chain management. IEEE Transactions on Engineering<br />

Management, 48(3), 307–318.<br />

Liker, J. K., & Choi, T. (2004, December). Building deep supplier relationships. Harvard Business<br />

Review, 104–113.<br />

Liker, J. K., Kamath, R. R., Wasti, S. N., & Nagamachi, M. (1996). Supplier involvement in<br />

automotive component design: Are there really large us japan differences. Research Policy,<br />

25, 59–89.<br />

Lorenz, F. O. (1987, April). Teaching about influence in simple regression. Teaching Sociology,<br />

15(2), 173–177. (Teaching Research Methods and Statistics)<br />

Manderscheid, L. V. (1965, December). Significance levels. 0.05, 0.001, or ? Journal of Farm<br />

Economics, 47(5), 1381–1385.<br />

Marques de Sá, J. P. (2007). Appliead statistics using SPSS, STATISTICA, MATLAB, and R.<br />

Springer-Verlag Berlin Heidelberg.<br />

McDonald, B. (2002). A teaching note on cook’s distance - a guideline. Institute of Information<br />

and Mathematical Science, Massey <strong>University</strong> at Albany, Auckland, New Zealand.<br />

Meyer-Baese, U. (2007). Digital signal processing with field programmable gate arrays (third<br />

ed.). Springer-Verlag Berlin Heidelberg.<br />

Meyr, H. (2004). Supply chain planning in the German automotive industry. OR Spectrum, 26,<br />

447–470.<br />

Napier, N. K., & Vu, V. T. (1998). International human resource management in developing and<br />

transitional economy countries: A breed apart? Human Resource Management Review, 8(1),<br />

39–77.<br />

Parsowith, B. S. (1995). Fundamentals of quality auditing. ASQC Quality Press.<br />

Patton, M. Q. (1987). How to use qualitative methods in evaluation. SAGE Publications, Inc.<br />

Pötsch, H. D. (2011, May 19). Volkswagen – driving forward. Deutsche Bank German and<br />

Austrian Corporate Conference. Frankfurt, Germany.<br />

Qualitätsmanagement in der Automobilindustrie: Prozessaudit. (2010, June). Verband der Automobilindustrie<br />

(VDA Band 6 Teil 3). (2. vollständig überarbeitete Auflage)<br />

163


Reichheld, F. F. (2003). The one number you need to grow. Harvard Business School Publishing<br />

Corporation.<br />

The road ahead. (2011). Automotive Industries Team – U.S. Department of Commerce.<br />

Robert B. Austenfeld, J. (2006). Toyota and why it is so successful. Papers of the Research Society<br />

of Commerce and Economics, 47(1), 100 – 173.<br />

Scullion, H., Collings, D. G., & Gunnigle, P. (2007). International human resource management<br />

in the 21st century: Emerging themes and contemporary debates. Human Resource Management<br />

Journal, 17(4), 309 – 319.<br />

Sinha, P. (2010). Speech processing in embedded systems. New York: Springer Science+Business<br />

Media.<br />

Spekman, R. E., Kamauff, J., & Spear, J. (1999). Towards more effective sourcing and supplier<br />

management. European Journal of Purchasing & Supply Management, 5, 103–116.<br />

Stroescu-Dabu, M. (2008). Assessment of the assessment method: a study of the effectiveness<br />

of supplier process audits to improve quality performance of suppliers in the automotive<br />

industry. Guided Research Project Report, <strong>Jacobs</strong> <strong>University</strong> Bremen. Bremen, Germany.<br />

Suthikarnnarunai, N. (2008). Automotive supply chain and logistics management. Proceedings of<br />

the International MultiConference of Engineers and Computer Scientists, 2, 19–21.<br />

van Weele, A. J. (2010). Purchasing and supply chain management: Analysis, strategy, planning<br />

and practice (fifth ed.). Hampshire, United Kingdom: Cengage Learning EMEA.<br />

Veloso, F., & Kumar, R. (2002, January). The automotive supply chain: Global trends and asian<br />

perspectives (Tech. Rep.). Asian Development Bank. (ERD Working Paper Series No. 3,<br />

Economic and Research Department)<br />

Venables, W. N., Smith, D. M., & the R Development Core Team. (2010). An introduction to<br />

R notes on R: A programming environment for data analysis and graphics version 2.13.0<br />

(2011-04-13). R Development Core Team.<br />

Verzani, J. (2002). simpleR – using R for introductory statistics. (Accessed in April, 2011)<br />

Volkswagen Internal Reports. (2012). Group Quality Assurance Supplier Audit, Volkswagen AG.<br />

Wolfsburg, Germany.<br />

Wealleans, D. (2005). The quality audit for ISO 9001:2000 (second ed.). Gower.<br />

Wittmann, J., & Bergholz, W. (2006). Wert der bewertung: Empirische untersuchung der wirksamkeit<br />

von lieferantenaudits. Qualität und Zuverlässigkeit, Carl Hansen Verlag, Munich,<br />

51, 38–42.<br />

World motor vehicle production by country - OICA correspondents survey (multiple editions).<br />

(1997 – 2010). International Organization of Motor Vehicle Manufacturers (OICA).<br />

164

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!