PROC SURVEYFREQ: Expected Weighted Frequency :: SAS/STAT(R) 9.3 User's Guide

Expected Weighted Frequency

If you specify the EXPECTED option in the TABLES statement, PROC SURVEYFREQ computes expected weighted frequencies for the table cells in two-way tables. The expected weighted frequencies are computed under the null hypothesis that the row and column variables are independent. The expected weighted frequency for table cell $\text{[math]}$ equals

$\text{[math]}$

where $\text{[math]}$ is the estimated total for row $\text{[math]}$ , $\text{[math]}$ is the estimated total for column $\text{[math]}$ , and $\text{[math]}$ is the estimated overall total. Equivalently, the expected weighted frequency can be expressed as

$\text{[math]}$

These expected values are used in the design-based chi-square tests of independence, as described in the sections Rao-Scott Chi-Square Test and Wald Chi-Square Test.

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The SURVEYFREQ Procedure

Expected Weighted Frequency