Let Y i be bin(n i , Iuml i ) at x i , and let p i y i n i For binomial GLMs with logit link a For p i near Iuml i , show that b Show that z 1 (t) in (5 23) is a linearized version of the ith sample logit, evaluated at approximation Iuml i (t) for Iuml Igrave i Pi Ti Pi , (1 ) log log 1 Pi...

a Expand logp1 p in a Taylor series for a neighborhood ...

Let Y i be bin(n i , Ï i ) at x i , and let p

Question:

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

a. For p_i near Ï€_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 Ï€Ì‚_i.

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Categorical Data Analysis

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Authors: Alan Agresti

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Let Y i be bin(n i , Ï i ) at x i , and let p

Question:

Pi – Ti Pi п, π (1- π) log log 1 - Pi

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a Expand logp1 p in a Taylor series for a neighborhood ...View the full answer

Categorical Data Analysis

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