Bayesian inference & ranking of Pakistan News TV channel using method of paired comparison

Volume 9, Issue 1, February 2024     |     PP. 1-15      |     PDF (420 K)    |     Pub. Date: October 17, 2016
DOI:    2497 Downloads     28480 Views  

Author(s)

Syed Adil Hussain, Lecturer, Department of Statistics, University of Gujrat, Gujrat, Pakistan
Taha Hasan Associate Professor, Department of Statistics, Islamabad Model College for Boys, F-10/4, Islamabad, Pakistan.

Abstract
This research considers the Bayesian inference & ranking of the domestic News TV channels using method of paired comparisons. Results for analysis are computed in C language and programs’ coding are executed for seven parametric model’s inference. Furthermore, to ensure the appropriateness of the model, the goodness of fit criteria is used as used by Aslam (2002). The model ensures good fit for the news TV channels. The research aims to play a dynamic role in ranking of domestic News TV channels by providing the preferences probabilities which reflects ranking of each of the factors.

Keywords
Paired comparison method; Bayesian Inference (Posterior Means, Posterior Predictive Probabilities and modem goodness of fit) of Bradley-Terry, Non informative prior; Uniform distribution.

Cite this paper
Syed Adil Hussain, Taha Hasan Associate Professor, Bayesian inference & ranking of Pakistan News TV channel using method of paired comparison , SCIREA Journal of Mathematics. Volume 9, Issue 1, February 2024 | PP. 1-15.

References

[ 1 ] Bramley, T. and B. Black (2008). Maintaining performance standards: aligning raw score scales on different tests via a latent trait created by rank-ordering examinees' work. Third International Rasch Measurement conference, University of Western Australia, Perth.
[ 2 ] Newton, P., J. Baird, et al. (2007). Techniques for monitoring the comparability of examination standards. Qualifications and Curriculum Authority London.
[ 3 ] Halai, N. (2012). "An analysis of higher education commission rankings 2012." Quality of private universities in Pakistan 22(7): 775 - 786.
[ 4 ] (2014). "Assessing Internal Democracy of Major Political Parties of Pakistan. " PILDAT.
[ 5 ] Aslam, M. (2002). "Bayesian analysis for paired comparison models allowing ties and not allowing ties." PAKISTAN JOURNAL OF STATISTICS-ALL SERIES- 18(1): 53-70.
[ 6 ] Aslam, M. (2003). "An application of prior predictive distribution to elicit the prior density." Journal of Statistical Theory and applications 2(1): 70-83.
[ 7 ] Bernardo, J. M. (2003). Bayesian Statistics 7: Proceedings of the Seventh Valencia International Meeting, Oxford University Press.
[ 8 ] Frackowiak, R. S., K. J. Friston, et al. (2004). "Human brain function." San Diego, CA.
[ 9 ] Gelman, A. (2006). "Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper)." Bayesian analysis 1(3): 515-534.
[ 10 ] Gelman, A., J. B. Carlin, et al. (2014). Bayesian data analysis, Taylor & Francis.
[ 11 ] Hoijtink, H., I. Klugkist, et al. (2008). Bayesian evaluation of informative hypotheses. Springer Science & Business Media.
[ 12 ] Bramley, T. and T. Gill (2010). "Evaluating the rank‐ordering method for standard maintaining." Research Papers in Education 25(3): 293-317.