Optimal designs for mixed continuous and binary responses with quantitative and qualitative factors

Abstract

This work is concerned with optimal designs for multivariate regression of responses of mixed variable types (continuous and binary) on quantitative and qualitative factors. New complete class results with respect to the Loewner ordering, and relevant Chebyshev systems are derived to identify a small class of designs, within which locally optimal designs can be found for a group of models and optimality criteria. The complete class results facilitate the search of optimal designs via some general-purpose optimization techniques. Extensions of some previous results for characterizing optimal designs are also provided.