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Paired Comparison Analysis of the van Baaren Model Using Bayesian Approach with Noninformative Prior


Article Information

Title: Paired Comparison Analysis of the van Baaren Model Using Bayesian Approach with Noninformative Prior

Authors: Saima Altaf, Muhammad Aslam

Journal: Pakistan Journal of Statistics and Operation Research

HEC Recognition History
Category From To
Y 2020-07-01 2021-06-30

Publisher: Asiatic Region

Country: Pakistan

Year: 2012

Volume: 8

Issue: 2

Language: English

DOI: 10.18187/pjsor.v8i2.237

Keywords: Posterior DistributionBayesian hypothesis testingNoninformative priorsPredictive probability.

Categories

Abstract

One technique being commonly studied these days because of its attractive applications for the comparison of several objects is the method of paired comparisons. This technique permits the ranking of the objects by means of a score, which reflects the merit of the items on a linear scale. The present study is concerned with the Bayesian analysis of a paired comparison model, namely the van Baaren model VI using noninformative uniform prior. For this purpose, the joint posterior distribution for the parameters of the model, their marginal distributions, posterior estimates (means and modes), the posterior probabilities for comparing the two treatment parameters and the predictive probabilities are obtained.


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