Bayesian Analysis of the Rao-Kupper Model for Paired Comparison with Order Effect

Abstract

Because of the wide applicability of different paired comparison models in various fields of life, many Bayesian researchers have become interested in performing the Bayesian Analysis of these models. The present article is also a contribution in the theory of Bayesian statistics by performing the Bayesian Analysis of a paired comparison model, namely the Rao-Kupper model with Order Effect. For Bayesian Analysis using the Non-informative (Uniform and Jeffrey’s) Priors for the parameters of the model, the Joint Posterior and Marginal Posterior distributions of the model are obtained. The Posterior Estimates of the parameters, the Posterior probabilities for testing of the hypotheses to compare and rank the treatment parameters, the preference and the Predictive probabilities are also computed in the present article.