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xoEPC - Jan Mendling

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Contents iii<br />

4.3.4 Reduction of the SAP Reference Model . . . . . . . . . . . . . . 145<br />

4.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152<br />

5 Metrics for Business Process Models 155<br />

5.1 Measurement Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157<br />

5.2 Metrics in Network Analysis . . . . . . . . . . . . . . . . . . . . . . . . 161<br />

5.3 Metrics in the Software Engineering Process . . . . . . . . . . . . . . . . 164<br />

5.4 Related Work on Metrics for Process Models . . . . . . . . . . . . . . . 170<br />

5.5 Definition of Error Metrics for Process Models . . . . . . . . . . . . . . 175<br />

5.5.1 Size . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176<br />

5.5.2 Density . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177<br />

5.5.3 Partitionability . . . . . . . . . . . . . . . . . . . . . . . . . . . 181<br />

5.5.4 Connector Interplay . . . . . . . . . . . . . . . . . . . . . . . . 187<br />

5.5.5 Cyclicity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189<br />

5.5.6 Concurrency . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190<br />

5.6 Calculating Error Metrics . . . . . . . . . . . . . . . . . . . . . . . . . . 192<br />

5.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195<br />

6 Validation of Error Metrics 197<br />

6.1 Analysis Data Generation . . . . . . . . . . . . . . . . . . . . . . . . . . 197<br />

6.2 The Sample of EPC Models . . . . . . . . . . . . . . . . . . . . . . . . 199<br />

6.2.1 How do the four Groups differ? . . . . . . . . . . . . . . . . . . 201<br />

6.2.2 How do correct and incorrect Models differ? . . . . . . . . . . . 203<br />

6.2.3 Correlation Analysis . . . . . . . . . . . . . . . . . . . . . . . . 205<br />

6.3 Logistic Regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207<br />

6.3.1 Introduction to Logistic Regression . . . . . . . . . . . . . . . . 207<br />

6.3.2 Preparatory Analyses . . . . . . . . . . . . . . . . . . . . . . . . 209<br />

6.3.3 Multivariate Logistic Regression Model . . . . . . . . . . . . . . 210<br />

6.4 External Validation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213<br />

6.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215

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