Bayesian Multilevel Models for Count Data

https://doi.org/10.46481/jnsps.2021.168

Authors

  • Olumide Sunday Adesina Department of Mathematical Sciences, Redeemer’s University, Nigeria

Keywords:

Count Data, Health, Insurance, Dispersion, Multilevel Models.

Abstract

The traditional Poisson regression model for fitting count data is considered inadequate to fit over-or under-dispersed count data and new models have been developed to make up for such inadequacies inherent in the model. In this study, Bayesian Multi-level model was proposed using the No-U-Turn Sampler (NUTS) sampler to sample from the posterior distribution. A simulation was carried out for both over-and under-dispersed data from discrete Weibull distribution. Pareto k diagnostics was implemented, and the result showed that under-dispersed and over-dispersed simulated data has all its k value to be less than 0.5, which indicate that all the observations are good. Also all WAIC were the same as LOO-IC except for Poisson in the over-dispersed simulated data. Real-life data set from National Health Insurance Scheme (NHIS) was used for further analysis. Seven multi-level models were f itted and the Geometric model outperformed other model. 

Dimensions

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Published

2021-08-29

How to Cite

Adesina, O. S. (2021). Bayesian Multilevel Models for Count Data. Journal of the Nigerian Society of Physical Sciences, 3(3), 224–233. https://doi.org/10.46481/jnsps.2021.168

Issue

Section

Original Research