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Basic Analysis and Graphing - SAS

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194 Performing Contingency <strong>Analysis</strong> Chapter 6<br />

<strong>Analysis</strong> of Means for Proportions<br />

Table 6.4 Description of the Tests Report (Continued)<br />

Rsquare (U)<br />

Test<br />

Prob>ChiSq<br />

Portion of the total uncertainty attributed to the model fit.<br />

• An R 2 of 1 means that the factors completely predict the categorical response.<br />

• An R 2 of 0 means that there is no gain from using the model instead of fixed<br />

background response rates.<br />

For more information, see “Statistical Details for the Tests Report” on page 213.<br />

Lists two Chi-square statistical tests of the hypothesis that the response rates are the<br />

same in each sample category. For more information, see “Statistical Details for the<br />

Tests Report” on page 213.<br />

Lists the probability of obtaining, by chance alone, a Chi-square value greater than<br />

the one computed if no relationship exists between the response <strong>and</strong> factor. If both<br />

variables have only two levels, Fisher’s exact probabilities for the one-tailed tests <strong>and</strong><br />

the two-tailed test also appear.<br />

Fisher’s Exact Test<br />

This report gives the results of Fisher’s exact test for a 2x2 table. The results appear automatically for 2x2<br />

tables. For more details about Fisher’s exact test, <strong>and</strong> for details about the test for r x c tables, see “Exact Test”<br />

on page 200.<br />

<strong>Analysis</strong> of Means for Proportions<br />

If the response has two levels, you can use this option to compare response proportions for the X levels to<br />

the overall response proportion. This method uses the normal approximation to the binomial. Therefore, if<br />

the sample sizes are too small, a warning appears in the results.<br />

Note: For a description of <strong>Analysis</strong> of Means methods, see the document by Nelson, Wludyka, <strong>and</strong><br />

Copel<strong>and</strong> (2005). For a description of the specific <strong>Analysis</strong> of Means for Variances method, see the paper by<br />

Wludyka <strong>and</strong> Nelson (1997).<br />

Table 6.5 Descriptions of the <strong>Analysis</strong> of Means for Proportions Options<br />

Set Alpha Level<br />

Show Summary Report<br />

Switch Response Level for<br />

Proportion<br />

Selects the alpha level used in the analysis.<br />

Produces a report that shows the response proportions with decision<br />

limits for each level of the X variable. The report indicates whether a<br />

limit has been exceeded.<br />

Changes the response category used in the analysis.

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