A cumulative logit model is fitted to data from the 2004 General Social Survey, with Y = political ideology (extremely liberal or liberal, slightly liberal, moderate, slightly conservative, extremely conservative or conservative)and predictor religious preference (Protestant, Catholic, Jewish, None). With indicator variables for the first three religion categories, the ML fit has 1 = 1.03, 2 = 0.13, 3 = 1.57, 4 = 2.41, 1 = 1.27, 2 = 1.22,3 = 0.44.

a.a. Why are there four { j }? Why is 1<2 <3 <4

b. Which group is estimated to be the (i) most liberal, (ii) most conservative?Why?

c. Estimate the probability of the most liberal response for the Protestant andNone groups.

d. Use an estimated odds ratio to compare political ideology for the (i) Protestant and None groups, (ii) Protestant and Catholic groups.

See page 200 if this does not make sense.

https://mregresion.files.wordpress.com/2012/08/agresti-introduction-to-categorical-data.pdf