ABSTRACT
KATHRYN CHALONER University of Minnesota, St. Paul, Minnesota
1. INTRODUCTION Haines (1995) and Chaloner (1993) give closed-form results for Bayesian designs for nonlinear problems. Both papers use, among other examples, the logistic regression model with a known slope parameter. Both papers derive some of the same results for prior distributions with two points of support, but with very different methods. Haines uses a novel geometric approach and Chaloner uses a more traditional algebraic approach using an equiva lence theorem. Prior distributions with a small number of support points are not of much practical use, but when closed-form solutions can be found they give an understanding of more general problems in which designs must be found numerically.
