Abstract
Bayesian statistics provides a theory of inference, which enables us to narrate the results of observation with hypothetical predictions. The present study contributes in the theory of Bayesian Statistics by presenting the Bayesian analysis of a paired comparison model namely the Davidson model with order effect. For Bayesian analysis using noninformative (uniform and Jeffreys') priors for the parameters of the model, the joint posterior and marginal posterior distributions of the parameters of the model, the posterior estimates of the parameters, the posterior probabilities for testing of the hypotheses to compare the parameters, the preference and the predictive probabilities are obtained. The test of appropriateness of the model is also presented in this paper.