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Applying Beta-type Size Distributions to Healthcare Cost Regressions

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Abstract

This paper extends the literature on modelling healthcare cost data by applying the Generalised Beta of the Second Kind (GB2) distribution to UK data. A quasi-experimental design, estimating models on a subset of the data and evaluating performance on another subset, is used to compare this distribution with its nested and limiting cases. We nd that the GB2 may be a useful tool for choosing an appropriate distribution to apply, with the Beta-2 (B2) distribution and Generalised Gamma (GG) distribution performing the best with this dataset.

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  • Jones, A & Lomas, J & Rice, N, 2011. "Applying Beta-type Size Distributions to Healthcare Cost Regressions," Health, Econometrics and Data Group (HEDG) Working Papers 11/31, HEDG, c/o Department of Economics, University of York.
    • Handle: RePEc:yor:hectdg:11/31
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    Cited by:

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    2. Jones, A. & Lomas, J. & Rice, N., 2014. "Going Beyond the Mean in Healthcare Cost Regressions: a Comparison of Methods for Estimating the Full Conditional Distribution," Health, Econometrics and Data Group (HEDG) Working Papers 14/26, HEDG, c/o Department of Economics, University of York.
    3. Sriubaite, I. & Harris, A. & Jones, A.M. & Gabbe, B., 2020. "Economic Consequences of Road Traffic Injuries. Application of the Super Learner algorithm," Health, Econometrics and Data Group (HEDG) Working Papers 20/20, HEDG, c/o Department of Economics, University of York.
    4. Karlsson, Martin & Wang, Yulong & Ziebarth, Nicolas R., 2024. "Getting the right tail right: Modeling tails of health expenditure distributions," Journal of Health Economics, Elsevier, vol. 97(C).
    5. Andrew M. Jones & James Lomas & Peter T. Moore & Nigel Rice, 2016. "A quasi-Monte-Carlo comparison of parametric and semiparametric regression methods for heavy-tailed and non-normal data: an application to healthcare costs," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 179(4), pages 951-974, October.
    6. Kasteridis, Panagiotis & Rice, Nigel & Santos, Rita, 2022. "Heterogeneity in end of life health care expenditure trajectory profiles," Journal of Economic Behavior & Organization, Elsevier, vol. 204(C), pages 221-251.
    7. Peter Zweifel, 2012. "The Grossman model after 40 years," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 13(6), pages 677-682, December.
    8. Joel Smith & Helen Banks & Harry Campbell & Anne Douglas & Eilidh Fletcher & Alison McCallum & Tron Anders Moger & Mikko Peltola & Sofia Sveréus & Sarah Wild & Linda J. Williams & John Forbes & on beh, 2015. "Parameter Heterogeneity In Breast Cancer Cost Regressions – Evidence From Five European Countries," Health Economics, John Wiley & Sons, Ltd., vol. 24(S2), pages 23-37, December.
    9. Apostolos Davillas & Andrew M. Jones, 2018. "Parametric models for biomarkers based on flexible size distributions," Health Economics, John Wiley & Sons, Ltd., vol. 27(10), pages 1617-1624, October.
    10. Sungchul Park & Anirban Basu, 2018. "Alternative evaluation metrics for risk adjustment methods," Health Economics, John Wiley & Sons, Ltd., vol. 27(6), pages 984-1010, June.
    11. Andrew M. Jones & James Lomas & Nigel Rice, 2015. "Healthcare Cost Regressions: Going Beyond the Mean to Estimate the Full Distribution," Health Economics, John Wiley & Sons, Ltd., vol. 24(9), pages 1192-1212, September.
    12. Duangkamon Chotikapanich & William E. Griffiths & Gholamreza Hajargasht & Wasana Karunarathne & D.S. Prasada Rao, 2018. "Using the GB2 Income Distribution: A Review," Department of Economics - Working Papers Series 2036, The University of Melbourne.
    13. Piotr Swierkowski & Adrian Barnett, 2018. "Identification of hospital cost drivers using sparse group lasso," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-19, October.
    14. Julie Shi & Yi Yao & Gordon Liu, 2018. "Modeling individual health care expenditures in China: Evidence to assist payment reform in public insurance," Health Economics, John Wiley & Sons, Ltd., vol. 27(12), pages 1945-1962, December.
    15. Caravaggio, Nicola & Resce, Giuliano, 2023. "Enhancing Healthcare Cost Forecasting: A Machine Learning Model for Resource Allocation in Heterogeneous Regions," Economics & Statistics Discussion Papers esdp23090, University of Molise, Department of Economics.
    16. Tor Iversen & Eline Aas & Gunnar Rosenqvist & Unto Häkkinen & on behalf of the EuroHOPE study group, 2015. "Comparative Analysis of Treatment Costs in EUROHOPE," Health Economics, John Wiley & Sons, Ltd., vol. 24(S2), pages 5-22, December.
    17. Yi Yao & Joan Schmit & Julie Shi, 2019. "Promoting sustainability for micro health insurance: a risk-adjusted subsidy approach for maternal healthcare service," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(3), pages 382-409, July.
    18. Erengul Dodd & George Streftaris, 2017. "Prediction of settlement delay in critical illness insurance claims by using the generalized beta of the second kind distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(2), pages 273-294, February.
    19. Duangkamon Chotikapanich & William E. Griffiths & Gholamreza Hajargasht & Wasana Karunarathne & D. S. Prasada Rao, 2018. "Using the GB2 Income Distribution," Econometrics, MDPI, vol. 6(2), pages 1-24, April.
    20. Ariston Karagiorgis & Antonis Ballis & Konstantinos Drakos, 2024. "The Skewness‐Kurtosis plane for cryptocurrencies' universe," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 2543-2555, April.

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    More about this item

    Keywords

    Health econometrics; Generalised beta of the second kind; Generalised gamma; Skewed outcomes; Healthcare cost data;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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