Refer to the logit model in Problem 5.24. Let A = opinion on abortion.

a. Give the symbol for the loglinear model that is equivalent to this logit model.

b. Which logit model corresponds to loglinear model (AR. AP, GRPY?

c. State the equivalent loglinear and logit models for which (I) A is jointly independent of G, R, and P; (ii) there are main effects of R on A, but A is conditionally independent of G and P, given R: (iii) there is interaction between P and R in their effects on A, and G has main effects.

Table 5.24:

Let Y denote a subject’s opinion about current laws legalizing abortion (1 = support), for gender h (h = 1, female: h = 2, male), religious affiliation i (i = 1, Protestant: i = 2, Catholic; i = 3, Jewish), and political party affiliation j (j = 1, Democrat; j = 2, Republican; j = 3, Independent). For survey data, software for fitting the model logit [P(Y = 1) = α + β_h^G + β_i^R + β_j^P] reports α̂ = 0.62, β̂₁^G = 0.08, β̂₁^G = 0.08, β̂₂^G = –0.08, β̂₁^R = –0.16, β̂₂^R = –0.25, β̂₃^R = 0.41, β̂₁^P = 0.87, β̂₁^P = –1.27, β̂₃^P = 0.40.