ON THE POSTERIOR DISTRIBUTION OF PARAMETERS FOR THE RAO-KUPPER MODEL

Abstract

Posterior distribution is the workbench in Bayesian analysis. The posterior distribution for the parameters of the Rao-Kupper model for paired comparison data is derived using the (informative) Dirichlet-gamma prior distribution. In this study, an attempt is made to find analytical expression for the posterior (marginal) distributions of the parameters of the Rao-Kupper model. Five approximate analytical expressions for the marginal posterior distributions of the threshold parameter and three analytical expressions for posterior distribution of the treatment parameters are presented in this study.