A Bayesian Sequential Procedure for Quantal Response in the Context of Adaptive Mental Testing

Abstract

This article is concerned with a generalization of the problem of estimation of median effective dose in bioassay with a normal quantal response curve. A new kind of Bayesian motivated procedure is introduced which leads to a strongly consistent estimator. The convergence is robust in that it holds for a bundle of sequences of design vectors—an important feature in a mental testing context where a specified design vector cannot be produced on demand.