Modeling the Factors Influencing the Evaluations of Items Through Mixture Models for Preference Datasets

Abbas, Nasir; Aslam, Muhammad

doi:10.1080/03610926.2011.575518

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2017

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“…Abbas and Aslam (2011a) extend the renowned Bradley and Terry (1952) model by accommodating quantitative weights in the qualitative paired comparisons. Abbas and Aslam (2012a) model the factors influencing the judges' evaluations of items through mixture models for the preference datasets. The probabilistic features of the mixture distribution are addressed and inferential and computational issues emerging out of the maximum likelihood estimation are dealt with.…”

Section: Introductionmentioning

confidence: 99%

Bayesian modeling to paired comparison data via the Pareto distribution

Abbas¹,

Aslam²

2017

Pak.j.stat.oper.res.

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A probabilistic approach to build models for paired comparison experiments based on the comparison of two Pareto variables is considered. Analysis of the proposed model is carried out in classical as well as Bayesian frameworks. Informative and uninformative priors are employed to accommodate the prior information. Simulation study is conducted to assess the suitability and performance of the model under theoretical conditions. Appropriateness of fit of the model is also carried out. Entire inferential procedure is illustrated by comparing certain cricket teams using real dataset.

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Section: Introductionmentioning

confidence: 99%