Lindley-Shannon Information for Comparison of Priors Under Paired Comparisons Model

Abstract

One of the main differences between classical statistics and Bayesian statistics is that the latter can utilise prior information in a formal way. This information can be quantified in terms of a probability distribution which is known as the prior distribution. If there is no relevant prior information available then there are ways to derive a 'non-informative' prior distribution. In this study, the informative and non-informative prior distributions for the parameters of the Bradley-Terry model for paired comparison data are compared.