Bayesian Rating using Glenn–David Paired Comparison Model with Non–Informative and Informative Priors
DOI:
https://doi.org/10.58575/r341cb27Keywords:
Bayesian rating, Non–informative priors, Glenn–David model, Paired comparison modelsAbstract
In the technique of paired comparisons, objects are ranked since individual judgment. We use it when quantifiable measurement is not viable or impractical. In this study, the Glenn-David PC model under Bayesian framework is used to establish the rating of five brands of cold drinks. Bayesian analysis has been made using non-informative and informative priors. The posterior means are considered for the preference behavior of the cold drink brands. The predictive probabilities for a single future paired comparison of cold drink brands are also found. The posterior probabilities of the hypotheses for comparison of parameters for any two cold drink brands are obtained. Also, the preference probabilities for paired comparison are determined. The results obtained through Uniform and Normal-Gamma priors are compared. It is observed that similar results and same rankings for the cold drinks brands are achieved. The appropriateness of the model is tested by chi-squared statistic. All computations are made in SAS package by designing the programs/codes.
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