Question: Let Y i be bin(n i , Ï i ) at x i , and let p i = y i /n i . For

Let Yibe bin(ni, πi) at xi, and let pi= yi/ni. For binomial GLMs with logit link:

a. For pi near πi, show that

Pi – Ti Pi п, π (1- π) log log 1 - Pi

b. Show that z1(t) in (5.23) is a linearized version of the ith sample logit, evaluated at approximation πi(t) for π̂i.

Pi Ti Pi , (1- ) log log 1 - Pi

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