A BAYESIAN LOOK AT THE BRADLEY-TERRY PAIRED COMPARISON MODEL

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A BAYESIAN LOOK AT THE BRADLEY-TERRY PAIRED COMPARISON MODEL

Journal Title: International Journal of Physical and Social Sciences (IJPSS) - Year 2012, Vol 2, Issue 7

Abstract

In the present study, we have presented a statistical analysis for paired comparison data through Bayesian approach. In the method of paired comparisons, objects are presented in pairs to the judges. The Bradley-Terry model for paired comparisons is considered for Bayesian analysis. The prior distribution for the parameters of the model is supposed to be belonged to the member of the Dirichlet family and the method for elicitation of hyperparameters is based on the prior predictive distribution. For Bayesian analysis, the posterior distribution of the parameters is derived, the preference probabilities using the posterior means and the predictive probabilities for pairwise comparisons in a single future comparison are obtained. The posterior probabilities for the hypotheses of comparing two parameters are also computed. The goodness of fit test for the appropriateness of the model is presented too.

Authors and Affiliations

Nosheen Altaf ,Ghausia Masood Gilani, Muhammad Aslam

Keywords

Paired comparison method; Bradley-Terry model; Dirichlet distribution; Hyperparameters; Elicitation; Posterior distribution; Bayesian hypothesis testing; Predictive probabilities; Preference probabilities

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EP ID EP41686
DOI -
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