Bayesian modeling to paired comparison data via the Pareto distribution

Abbas, Nasir; Aslam, Muhammad

doi:10.18187/pjsor.v13i4.1924

Cited by 2 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A huge amount of literature is available on the subject. Abbas and Aslam [1] analyzed the Pareto model under paired comparison techniques by using classical and Bayesian framework. For the Bayesian analysis they used cricket teams' real dataset.…”

Section: Introductionmentioning

confidence: 99%

Bayesian Analysis of the Weibull Paired Comparison Model Using Numerical Approximation

Ullah

Aslam

2020

Journal of Mathematics

View full text Add to dashboard Cite

The method of paired comparisons (PC) is widely used to rank items using sensory evaluations. The PC models are developed to provide basis for such comparisons. In this study, the Weibull PC model is analyzed under the Bayesian paradigm using noninformative priors and different loss functions, namely, Squared Error Loss Function (SELF), Quadratic Loss Function (QLF), DeGroot Loss Function (DLF), and Precautionary Loss Function (PLF). Numerical approximation is used to illustrate the entire estimation procedure. A real dataset showing usage preferences for different cellphone brands, Huawei (HW), Samsung (SS), Oppo (OP), QMobile (QM), and Nokia (NK), is used. Quadrature method is used to evaluate the Bayes estimates, their posterior risks, preference probabilities, predictive probabilities, and posterior probabilities to establish and verify ranking order of the competing cellphone brands under study. The results show that the paired comparison model under the study using Bayesian approach involving various loss functions can offer mathematical approach to evaluate cellphone brand preferences. The ranking provided by the model is justifiable according to the usage preference for these cellphone brands. The ranking given by the model indicates that cellphone brand Samsung is preferred the most and QMobile is the least preferred. The plausibility of the model is also assessed using the Chi square test of goodness of fit.

show abstract

Section: Introductionmentioning

confidence: 99%