For the recent General Social Survey data on X = gender (males, females) and Y =

belief in an afterlife (no, yes), Table 7.12 shows results of fitting the independence loglinear model.

a. The deviance is 0.82 with df = 1. What does this suggest?

b. Report {λˆY j }. Interpret λˆY 1 − λˆY 2 .

c. For the saturated model, software reports for {λˆXY ij }:

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Estimate Std Error genderfemales:beliefyes 0.1368 0.1507

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Estimate the odds ratio.

Table 7.12 Software output for Exercise 7.1 on belief in afterlife.

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Estimate Std. Error Intercept 4.5849 0.0752 genderfemales 0.2192 0.0599 beliefyes 1.4165 0.0752

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d. The text website has a data file Postlife that cross-classifies belief in life after death with race (black, white, other). Fit the independence model and interpret λˆY 1 − λˆY 2 .