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Basic Analysis and Graphing - SAS

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Chapter 6 Performing Contingency <strong>Analysis</strong> 193<br />

Tests<br />

Table 6.3 Description of the Contingency Table (Continued)<br />

Col Cum%<br />

Row Cum<br />

Row Cum%<br />

Cumulative column percentage.<br />

Cumulative row total.<br />

Cumulative row percentage.<br />

Tests<br />

The Tests report shows the results for two tests to determine whether the response level rates are the same<br />

across X levels.<br />

To produce the report shown in Figure 6.8, follow the instructions in “Example of Contingency <strong>Analysis</strong>”<br />

on page 185.<br />

Figure 6.8 Example of a Tests Report<br />

Note the following about the Chi-square statistics:<br />

• When both categorical variables are responses (Y variables), the Chi-square statistics test that they are<br />

independent.<br />

• You might have a Y variable with a fixed X variable. In this case, the Chi-square statistics test that the<br />

distribution of the Y variable is the same across each X level.<br />

Table 6.4 Description of the Tests Report<br />

N<br />

DF<br />

-LogLike<br />

Total number of observations.<br />

Records the degrees of freedom associated with the test.<br />

The degrees of freedom are equal to (c -1)(r - 1), where c is the number of columns<br />

<strong>and</strong> r is the number of rows.<br />

Negative log-likelihood, which measures fit <strong>and</strong> uncertainty (much like sums of<br />

squares in continuous response situations).

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