5.6. For a link function h, consider the model of form presented in Section 4.2, [,-()] = a, + ,, where , = . 1

5.6. For a link function h, consider the model of form presented in Section 4.2,

Á[ù,-(÷)] =

a, + â,·÷, where ù,· = .

1 ð,- Ç Ync

(a) Explain why the fit of this model is the same when fitted separately for j — 1 , . . . , c — 1 or when fitted simultaneously.

(b) For the complementary log-log link, show that this model is equivalent to one using the same link function for cumulative probabilities (Läärä

and Matthews 1985).