Let Y_ibe bin(n_i, π_i) at x_i, and let p_i= y_i/n_i. For binomial GLMs with logit link:

a. For p_i near π_i, show that

b. Show that z₁^(t) in (5.23) is a linearized version of the ith sample logit, evaluated at approximation Ï€_i^(t) for π̂_i.

Transcribed Image Text:

Pi – Ti Pi п, π (1- π) log log 1 - Pi