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A quasi-negative binomial regression with an application to medical care data

Author

Listed:
  • Jamiu S. Olumoh

    (American University of Nigeria)

  • Osho O. Ajayi

    (American University of Nigeria)

  • Sauta S. AbdulKadir

    (Modibo Adama University of Technology)

Abstract

This paper introduced a Quasi-Negative Binomial Regression as an extension of Quasi-Negative Binomial to handle response count datasets modulated with covariates. In some literature, Poisson regression is assumed to model the count data appropriately with exemption of excess-zero and over-dispersion more than other identical models. Nevertheless, in the presence of excess-zero and over-dispersion, the Negative Binomial regression and Generalized Poisson regression and their zero-inflation provided some respite. If the data were highly skewed, with long tail, they fit the data incorrectly. Therefore, Quasi-Negative Binomial is recommended even though it cannot accommodate data modulated with covariates, hence the proposed Quasi-Negative Binomial Regression model and its zero-inflated model. The estimates of the model parameters were derived using maximum likelihood method and the performance of the model was examined using simulation study. Also, the adequacy of the model was established by comparison with other competing models’ information criteria. The results showed that the proposed models outperformed the competing models.

Suggested Citation

  • Jamiu S. Olumoh & Osho O. Ajayi & Sauta S. AbdulKadir, 2022. "A quasi-negative binomial regression with an application to medical care data," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(5), pages 3029-3052, October.
    • Handle: RePEc:spr:qualqt:v:56:y:2022:i:5:d:10.1007_s11135-021-01255-y
    DOI: 10.1007/s11135-021-01255-y
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    References listed on IDEAS

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    1. Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-336, May-June.
    2. Bayo Lawal, 2012. "Zero-inflated count regression models with applications to some examples," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(1), pages 19-38, January.
    3. A. C. Cameron & P. K. Trivedi & Frank Milne & J. Piggott, 1988. "A Microeconometric Model of the Demand for Health Care and Health Insurance in Australia," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 85-106.
    4. Felix Famoye & Carl Lee, 2017. "Exponentiated-exponential geometric regression model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(16), pages 2963-2977, December.
    5. Li, Shubiao & Yang, Fang & Famoye, Felix & Lee, Carl & Black, Dennis, 2011. "Quasi-negative binomial distribution: Properties and applications," Computational Statistics & Data Analysis, Elsevier, vol. 55(7), pages 2363-2371, July.
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