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Quality and Reliability Methods - SAS

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Chapter 10<br />

Variability Charts<br />

Variability Chart <strong>and</strong> Gauge R&R Analysis<br />

A variability chart plots the mean for each level of a second factor, with all plots side by side. Along with the<br />

data, you can view the mean, range, <strong>and</strong> st<strong>and</strong>ard deviation of the data in each category, seeing how they<br />

change across the categories. The analysis options assume that the primary interest is how the mean <strong>and</strong><br />

variance change across the categories.<br />

• A traditional name for this chart is a multivar chart, but because that name is not well known, we use the<br />

more generic term variability chart.<br />

• A variability chart shows data side-by-side like the Oneway platform, but it has been generalized to<br />

h<strong>and</strong>le more than one grouping column.<br />

• Variability charts are commonly used for measurement systems analysis such as gauge R&R. This<br />

analysis analyzes how much of the variability is due to operator variation (reproducibility) <strong>and</strong><br />

measurement variation (repeatability). Gauge R&R is available for many combinations of crossed <strong>and</strong><br />

nested models, regardless of whether the model is balanced.<br />

• Just as a control chart shows variation across time in a process, a variability chart shows the same type of<br />

variation across categories such as parts, operators, repetitions, <strong>and</strong> instruments.<br />

• The Variability Chart platform can compute variance components. Several models of crossed <strong>and</strong> nested<br />

factors of purely r<strong>and</strong>om models are available.<br />

• Attribute (multi-level) data can also be analyzed with this platform.<br />

Figure 10.1 Example of a Variability Chart

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