In this manner, the last category, level K, is left as the baseline. Denote i = Pr{Yi = 1|Zi) and consider model log i

In this manner, the last category, level K, is left as the baseline. Denote πi = Pr{Yi = 1|Zi) and consider model log  πi 1 − πi  = β0 + β1Zi1 + ··· + βK−1Zi(K−1). Let ORk:k
denote the odds ratio of having Y = 1 that compares Level k and Level k

(a) Express ORk:K in terms of βj , for k = 1, . . . ,(K − 1) and describe how to obtain a confidence interval for ORk:K.

(b) Express ORk:k0 in terms of βj , for k 6= k 0 = 1, . . . ,(K − 1) and describe how to obtain a confidence interval for ORk:k0 .