4.3. A Three-Way Table
As we’ve just seen, using GENMOD to estimate a logit model for a 2 × 2 table doesn’t tell you much more than you would get with PROC FREQ. But with a 3-way table, things get more interesting.
Consider Table 4.2, which shows the cross classification of race, gender, and occurrence of sexual intercourse for a national sample of 15- and 16-year-olds, reported by Morgan and Teachman (1988).
Intercourse | |||
---|---|---|---|
Race | Gender | Yes | No |
White | Male | 43 | 134 |
Female | 26 | 149 | |
Black | Male | 29 | 23 |
Female | 22 | 36 |
Let’s analyze Table 4.2 as a logit model, with intercourse as the dependent variable and race and sex as independent variables. Using the events/trials syntax in GENMOD, we have:
DATA interco; INPUT white male yes ...
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