TAIL FUNCTIONS AND ITERATIVE WEIGHTS IN BINARY REGRESSION

In interpreting the binary regression models often used in the analysi s of dose-response data, it is common to introduce the idea of an unde rlying continuous tolerance distribution. Different choices of link fu nction lead to different tolerance distributions. A useful way of comp aring these alternatives is to compare the hazard functions or tail fu nctions associated with each tolerance distribution. Tail functions ca n also be applied to give numerically preferable formulas for the iter ative weights and the adjusted dependent variable in the fitting of bi nary regression models by the iteratively reweighted least-squares alg orithm.