In a study of the presence of tumors in animals, suppose {yi} are independent counts that satisfy a Poisson loglinear model, log(????i) = ∑

j ????jxij. However, the observed response merely indicates whether each yi is positive, zi = I(yi >

0), for the indicator function I. Show that {zi} satisfy a binary GLM with complementary log–log link (Dunson and Herring 2005).