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Modeling and Multivariate Methods - SAS

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388 Performing Categorical Response Analysis Chapter 15<br />

Failure Rate Examples<br />

Grouping Option<br />

is used to give results for individual X variables, or for combinations of the variables.<br />

Combinations gives frequency results for combinations of the X variables.<br />

Each Individually gives frequency results for each X variable individually.<br />

Both gives frequency results for combinations of the X variables, <strong>and</strong> individually.<br />

Failure Rate Examples<br />

The following examples come from testing a fabrication line on three different occasions under two<br />

different conditions. Each set of operating conditions yielded 50 data points. Inspectors recorded the<br />

following kinds of defects:<br />

1. contamination<br />

2. corrosion<br />

3. doping<br />

4. metallization<br />

5. miscellaneous<br />

6. oxide defect<br />

7. silicon defect<br />

Each unit could have several defects or even several defects of the same kind. We illustrate the data in a<br />

variety of different shapes all supported directly by the Categorical platform.<br />

Response Frequencies<br />

Suppose the data have columns containing frequency counts for each batch <strong>and</strong> a column showing the total<br />

number of units of the batch (as in Failure3Freq.jmp in the Quality Control folder).<br />

To generate the appropriate analysis, highlight the frequency variables <strong>and</strong> click Response Frequencies.<br />

The X, Grouping Category columns are clean <strong>and</strong> date, <strong>and</strong> SampleSize is Sample Size.<br />

In the resulting output, a frequency count table shows the total number of defects for each defect type.<br />

There is a separate row for each of the seven batches. The last two columns show the total number of defects<br />

(Responses) <strong>and</strong> the total number of units (Cases).

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