Paired Comparisons Modeling using t-Distribution with Bayesian Analysis

Maqsood Ali; Muhammad Aslam

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arXiv · 2002.11236

Paired Comparisons Modeling using t-Distribution with Bayesian Analysis

Maqsood Ali·Muhammad Aslam

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Abstract

A paired comparison analysis is the simplest way to make comparative judgments between objects where objects may be goods, services or skills. For a set of problems, this technique helps to choose the most important problem to solve first and/or provides the solution that will be the most effective. This paper presents the theory of paired comparisons method and contributes to the paired comparisons models by developing a new model based on t-distribution. The developed model is illustrated using a data set of citations among four famous journals of Statistics. Using Bayesian analysis, the journals are ranked as JRSS-B --> Biometrika --> JASA --> Comm. in Stats.

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Maqsood Ali, Muhammad Aslam. 2020-02-26. Paired Comparisons Modeling using t-Distribution with Bayesian Analysis. https://arxiv.org/abs/2002.11236

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