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Health Status Index Models: A Unified Mathematical View

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  • George W. Torrance

    (McMaster University)

Abstract

A general mathematical formulation of the health status index model is developed. Equations are given for three types of population health indexes and for the determination of the amount of health improvement created by a health care program. Fourteen of the major health status index models from the literature are analyzed, and it is shown that each can be viewed as a special case of the general formulation. It is hoped that the paper will help to unify the health status index concept, will serve to standardize terminology and notation, and will facilitate comparisons of the various models.

Suggested Citation

  • George W. Torrance, 1976. "Health Status Index Models: A Unified Mathematical View," Management Science, INFORMS, vol. 22(9), pages 990-1001, May.
    • Handle: RePEc:inm:ormnsc:v:22:y:1976:i:9:p:990-1001
    DOI: 10.1287/mnsc.22.9.990
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    Cited by:

    1. Anand, Paul, 2003. "The integration of claims to health-care: a programming approach," Journal of Health Economics, Elsevier, vol. 22(5), pages 731-745, September.
    2. H. Llewellyn-Thomas & H.J. Sutherland & R. Tibshirani & A. Ciampi & J.E. Till & N.F. Boyd, 1982. "The Measurement of Patients' Values in Medicine," Medical Decision Making, , vol. 2(4), pages 449-462, December.
    3. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2013. "A new axiomatic approach to the evaluation of population health," Journal of Health Economics, Elsevier, vol. 32(3), pages 515-523.
    4. Linda N. Edwards & Michael Grossman, 1978. "Children's Health and the Family," NBER Working Papers 0256, National Bureau of Economic Research, Inc.
    5. Erik Nord, 1994. "The qaly—a measure of social value rather than individual utility?," Health Economics, John Wiley & Sons, Ltd., vol. 3(2), pages 89-93, March.
    6. James S. Dyer & James E. Smith, 2021. "Innovations in the Science and Practice of Decision Analysis: The Role of Management Science," Management Science, INFORMS, vol. 67(9), pages 5364-5378, September.
    7. MORENO-TERNERO, Juan & OSTERDAL, Lars P., 2014. "Normative foundations for equity-sensitive population health evaluation functions," LIDAM Discussion Papers CORE 2014031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Moreno-Ternero, Juan D. & Platz, Trine Tornøe & Østerdal, Lars Peter, 2023. "QALYs, DALYs, and HALYs: A unifying framework for the evaluation of population health," Journal of Health Economics, Elsevier, vol. 87(C).
    9. Bengt Liljas & Göran S. Karlsson & Nils‐Olov Stålhammar, 2008. "On future non‐medical costs in economic evaluations," Health Economics, John Wiley & Sons, Ltd., vol. 17(5), pages 579-591, May.
    10. Chen, Chang-Chih & Chang, Chia-Chien & Sun, Edward W. & Yu, Min-Teh, 2022. "Optimal decision of dynamic wealth allocation with life insurance for mitigating health risk under market incompleteness," European Journal of Operational Research, Elsevier, vol. 300(2), pages 727-742.
    11. Scott B. Cantor, 2004. "Clinical Applications in the Decision Analysis Literature," Decision Analysis, INFORMS, vol. 1(1), pages 23-25, March.
    12. Abraham Mehrez & Amiram Gafni, 1989. "Quality-adjusted Life Years, Utility Theory, and Healthy-years Equivalents," Medical Decision Making, , vol. 9(2), pages 142-149, June.
    13. Barry Dewitt & George W. Torrance, 2020. "Incorporating Mortality in Health Utility Measures," Medical Decision Making, , vol. 40(7), pages 862-872, October.
    14. Claude Le Pen, 1997. "Théorie de l'utilité et mesure des états de santé, le débat QALYs-HYEs," Économie et Prévision, Programme National Persée, vol. 129(3), pages 37-54.
    15. Linda N. Edwards & Michael Grossman, 1979. "Income and Race Differences in Children's Health," NBER Working Papers 0308, National Bureau of Economic Research, Inc.
    16. Charles M. Harvey & Lars Peter Østerdal, 2010. "Cardinal Scales for Health Evaluation," Decision Analysis, INFORMS, vol. 7(3), pages 256-281, September.

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