Refer to Problem 7.5. With adjacent-categories logits, = 0.435. Interpret using odds ratios for adjacent categories and for the (very liberal, very conservative) pair

Refer to Problem 7.5. With adjacent-categories logits, β̂ = 0.435. Interpret using odds ratios for adjacent categories and for the (very liberal, very conservative) pair of categories.

Data from Prob. 7.5:

For recent data from a General Social Survey, the cumulative logit model (7.5) with Y = political ideology (very liberal, slightly liberal, moderate, slightly conservative, very conservative) and x = 1 for the 428 Democrats and x = 0 for the 407 Republicans has β̂ = 0.975 (SE = 0.129) and α̂₁ = – 2.469. Interpret β̂. Find the estimated probability of a very liberal response for each group.