An Efficient Algorithm for Constructing Bayesian Optimal Choice Designs

While Bayesian G- and V-optimal designs for the multinomial logit model have been shown to have better predictive performance than Bayesian D- and A-optimal designs, the algorithms for generating them have been too slow for commercial use. In this article, we present a much faster algorithm for generating Bayesian optimal designs for all four criteria while simultaneously improving the statistical efficiency of the designs. We also show how to augment a choice design allowing for correlated parameter estimates using a sports club membership study.