OPTIMAL DESIGNS FOR BINARY RESPONSE EXPERIMENTS - FIELLER, D, AND A CRITERIA

For binary response experiments, we consider the use of a confidence i nterval based on Fieller's theorem as a design criterion (F-optimality ). For symmetric distributions and under mild conditions, we show that F-optimal, D-optimal, and A-optimal designs have two or three support points. A complete characterization of these designs is given. The po ssibility of having 4-point symmetric designs is discussed.