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Quality and Reliability Methods - SAS

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Chapter 7 Multivariate Control Charts 115<br />

Platform Options<br />

having the maximum test statistic value for the Change Point Detection plot. For the Gravel.jmp data, at<br />

least one shift is apparent, with the change point occurring at observation 24 <strong>and</strong> the shift occurring<br />

immediately following observation 24. See “Change Point Detection” on page 118 in this chapter for<br />

technical details about shift changes.<br />

A scatterplot matrix of the data, divided into two groups, is shown in Figure 7.9. This plot shows the shift in<br />

the sample mean vector. The first 24 observations are identified as the first group; the remaining<br />

observations are classified as the second group. The 95% prediction regions for the two groups have<br />

approximately the same size, shape, <strong>and</strong> orientation, visually indicating that the sample covariance matrices<br />

are similar.<br />

The Scatterplot Matrix is created automatically when you select Change Point Detection from the<br />

platform’s menu; however, you might need to slightly alter the axes in order to see the density ellipses for the<br />

two groups, depending on your data. This is done by clicking <strong>and</strong> dragging the axes, as needed. For this<br />

example, you can also create the plot shown in Figure 7.9 with the Gravel.jmp sample data table. Click the<br />

red-triangle icon for Multivariate Control Chart <strong>and</strong> select Run Script.<br />

Figure 7.9 Gravel.jmp Scatterplot Matrix<br />

Note: The Change Point Detection method is designed to show a single shift in the data. Multiple shifts<br />

can be detected by recursive application of this method.<br />

Platform Options<br />

The following options are available from the platform drop-down menu<br />

T 2 Chart<br />

shows or hides the T 2 chart.<br />

T Square Partitioned enables you to specify the number of major principal components for T 2 .<br />

Set Alpha Level<br />

Show Covariance<br />

sets the α-level used to calculate the control limit. The default is α=0.05.<br />

shows or hides the covariance report.

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