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

Pakistan Journal of Statistics and Operation Research

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Title Paired Comparison Analysis of the van Baaren Model Using Bayesian Approach with Noninformative Prior
 
Creator Altaf, Saima; PMAS Arid Agriculture University, Rawalpindi
Aslam, Muhammad; Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan
Aslam, Muhammad; Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan
 
Subject Bayesian Statistics
Bayesian hypothesis testing; Noninformative priors; Posterior distribution; Predictive probability.

 
Description 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.
 
Publisher College of Statistical and Actuarial Sciences
 
Contributor
 
Date 2012-03-28
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://www.pjsor.com/index.php/pjsor/article/view/237
10.18187/pjsor.v8i2.237
 
Source Pakistan Journal of Statistics and Operation Research; Vol 8. No. 2, 2012; 259-270
2220-5810
1816-2711
 
Language eng
 
Relation http://www.pjsor.com/index.php/pjsor/article/view/237/205