Table is from a General Social Survey. Subjects were asked their opinion about a man and a woman having sex relations before marriage and a married person having sexual relations with someone other than the marriage partner. The response categories are 1 = always wrong, 2 = almost always wrong, 3 = wrong only sometimes, 4 = not wrong at all. The ordinal quasi-symmetry model with scores (1, 2, 3, 4) has deviance 2.1 (df = 5) and βˆ = −2.86. Show how to compare to the symmetry model (which has deviance 402.2) to test marginal homogeneity. From βˆ, explain why responses on extramarital sex tend to be lower on the ordinal scale than those on premarital sex. (The mean scores are 1.28 for extramarital sex and 2.69 for premarital sex.)
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