Table 6.16, based on the 1991 General Social Survey, relates responses on four variables: How often you attend religious services (R = At most a few times a year, At least several times a year); Political views (P = Liberal, Moderate,

Conservative); Methods of birth control should be available to teenagers be- tween the ages of 14 and 16 (B = Agree, Disagree); Opinion about a man and woman having sex relations before marriage (S = Wrong only sometimes or not wrong at all, Always or almost always wrong).

a. Find a loglinear model that fits these data well.

b. Interpret this model by estimating conditional odds ratios for each pair of variables. Construct and interpret a 90% confidence interval for the true odds ratio relating B and S, controlling for P and R.

c. Consider the logit model predicting (S) using the other variables as main- effect predictors, without any interaction. Fit the corresponding loglinear model. Does it fit adequately? Interpret the effects of the predictors on the response, and compare to results from (b).

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Table 6.16 Premarital Sex 1 2 Religious Attendance 1 2 1 2 Birth control 1 2 1 2 1 2 1 1 99 Political 2 73 Views 3 51 19 5295 15 73 20 51 385 25 87 37 36 826 20 12 432 24 13 50 33 2288 60 Source: 1991 General Social Survey.