Bayesian Analysis of the Weibull Paired Comparison Model Using Numerical Approximation
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ullah, Khalil& Aslam, Muhammad. 2020. Bayesian Analysis of the Weibull Paired Comparison Model Using Numerical Approximation. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188114
Modern Language Association (MLA)
Ullah, Khalil& Aslam, Muhammad. Bayesian Analysis of the Weibull Paired Comparison Model Using Numerical Approximation. Journal of Mathematics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1188114
American Medical Association (AMA)
Ullah, Khalil& Aslam, Muhammad. Bayesian Analysis of the Weibull Paired Comparison Model Using Numerical Approximation. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188114