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Models of Quality‐Adjusted Life Years when Health Varies Over Time: Survey and Analysis

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  • Kristian Schultz Hansen
  • Lars Peter Østerdal

Abstract

. Quality‐adjusted life year (QALY) models are widely used for economic evaluation in the health care sector. In the first part of the paper, we establish an overview of QALY models where health varies over time and provide a theoretical analysis of model identification and parameter estimation from time trade‐off (TTO) and standard gamble (SG) scores. We investigate deterministic and probabilistic models and consider five different families of discounting functions in all. The second part of the paper discusses four issues recurrently debated in the literature. This discussion includes questioning the SG method as the gold standard for estimation of the health state index, re‐examining the role of the constant‐proportional trade‐off condition, revisiting the problem of double discounting of QALYs, and suggesting that it is not a matter of choosing between TTO and SG procedures as the combination of these two can be used to disentangle risk aversion from discounting. We find that caution must be taken when drawing conclusions from models with chronic health states to situations where health varies over time. One notable difference is that in the former case, risk aversion may be indistinguishable from discounting.

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  • Kristian Schultz Hansen & Lars Peter Østerdal, 2006. "Models of Quality‐Adjusted Life Years when Health Varies Over Time: Survey and Analysis," Journal of Economic Surveys, Wiley Blackwell, vol. 20(2), pages 229-255, April.
  • Handle: RePEc:bla:jecsur:v:20:y:2006:i:2:p:229-255
    DOI: 10.1111/j.0950-0804.2006.00279.x
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    1. Sylvie M. C. van Osch & Peter P. Wakker & Wilbert B. van den Hout & Anne M. Stiggelbout, 2004. "Correcting Biases in Standard Gamble and Time Tradeoff Utilities," Medical Decision Making, , vol. 24(5), pages 511-517, October.
    2. Charles M. Harvey, 1986. "Value Functions for Infinite-Period Planning," Management Science, INFORMS, vol. 32(9), pages 1123-1139, September.
    3. Amiram Gafni & George W. Torrance, 1984. "Risk Attitude and Time Preference in Health," Management Science, INFORMS, vol. 30(4), pages 440-451, April.
    4. Paul Dolan & Claire Gudex, 1995. "Time preference, duration and health state valuations," Health Economics, John Wiley & Sons, Ltd., vol. 4(4), pages 289-299, July.
    5. Charles Harvey, 1995. "Proportional Discounting of Future Costs and Benefits," Mathematics of Operations Research, INFORMS, vol. 20(2), pages 381-399, May.
    6. Han Bleichrodt & Jose Luis Pinto, 2000. "A Parameter-Free Elicitation of the Probability Weighting Function in Medical Decision Analysis," Management Science, INFORMS, vol. 46(11), pages 1485-1496, November.
    7. Han Bleichrodt & Jose Luis Pinto & Peter P. Wakker, 2001. "Making Descriptive Use of Prospect Theory to Improve the Prescriptive Use of Expected Utility," Management Science, INFORMS, vol. 47(11), pages 1498-1514, November.
    8. Lia C.G. Verhoef & Anton F.J. De Haan & Willem A.J. Van Daal, 1994. "Risk Attitude in Gambles with Years of Life," Medical Decision Making, , vol. 14(2), pages 194-200, April.
    9. Paul F. M. Krabbe & Gouke J. Bonsel, 1998. "Sequence Effects, Health Profiles, and the QALY Model," Medical Decision Making, , vol. 18(2), pages 178-186.
    10. Linda D. MacKeigan & Amiram Gafni & Bernie J. O'Brien, 2003. "Double discounting of QALYs," Health Economics, John Wiley & Sons, Ltd., vol. 12(2), pages 165-169, February.
    11. van der Pol, Marjon & Cairns, John, 2002. "A comparison of the discounted utility model and hyperbolic discounting models in the case of social and private intertemporal preferences for health," Journal of Economic Behavior & Organization, Elsevier, vol. 49(1), pages 79-96, September.
    12. Cairns, John & van der Pol, Marjon, 2000. "Valuing future private and social benefits: The discounted utility model versus hyperbolic discounting models," Journal of Economic Psychology, Elsevier, vol. 21(2), pages 191-205, April.
    13. Donald A. Redelmeier & Daniel N. Heller, 1993. "Time Preference in Medical Decision Making and Cost - Effectiveness Analysis," Medical Decision Making, , vol. 13(3), pages 212-217, August.
    14. Bleichrodt, Han & Wakker, Peter & Johannesson, Magnus, 1997. "Characterizing QALYs by Risk Neutrality," Journal of Risk and Uncertainty, Springer, vol. 15(2), pages 107-114, November.
    15. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    16. Peter Wakker & Anne Stiggelbout, 1995. "Explaining Distortions in Utility Elicitation through the Rank-dependent Model for Risky Choices," Medical Decision Making, , vol. 15(2), pages 180-186, June.
    17. Marjon Pol & Larissa Roux, 2005. "Time preference bias in time trade-off," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 6(2), pages 107-111, June.
    18. John A. Cairns & Marjon M. Van Der Pol, 1997. "Saving future lives. A comparison of three discounting models," Health Economics, John Wiley & Sons, Ltd., vol. 6(4), pages 341-350, July.
    19. Joseph S. Pliskin & Donald S. Shepard & Milton C. Weinstein, 1980. "Utility Functions for Life Years and Health Status," Operations Research, INFORMS, vol. 28(1), pages 206-224, February.
    20. John M. Miyamoto & Peter P. Wakker & Han Bleichrodt & Hans J. M. Peters, 1998. "The Zero-Condition: A Simplifying Assumption in QALY Measurement and Multiattribute Utility," Management Science, INFORMS, vol. 44(6), pages 839-849, June.
    21. Jan Abel Olsen, 1994. "Persons vs years: Two ways of eliciting implicit weights," Health Economics, John Wiley & Sons, Ltd., vol. 3(1), pages 39-46, January.
    22. Magnus Johannesson & Joseph S. Pliskin & Milton C. Weinstein, 1994. "A Note on QALYs, Time Tradeoff, and Discounting," Medical Decision Making, , vol. 14(2), pages 188-193, April.
    23. John M. Miyamoto & Stephen A. Eraker, 1985. "Parameter Estimates for a QALY Utility Model," Medical Decision Making, , vol. 5(2), pages 191-213, June.
    24. Spencer, Anne, 2003. "A test of the QALY model when health varies over time," Social Science & Medicine, Elsevier, vol. 57(9), pages 1697-1706, November.
    25. Miriam Kuppermann & Stephen Shiboski & David Feeny & Eric P. Elkin & A. Eugene Washington, 1997. "Can Preference Scores for Discrete States Be Used to Derive Preference Scores for an Entire Path of Events?," Medical Decision Making, , vol. 17(1), pages 42-55, February.
    26. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    27. Jonathan R. Treadwell, 1998. "Tests of Preferential Independence in the QALY Model," Medical Decision Making, , vol. 18(4), pages 418-428, October.
    28. Torrance, George W., 1986. "Measurement of health state utilities for economic appraisal : A review," Journal of Health Economics, Elsevier, vol. 5(1), pages 1-30, March.
    29. Dolan, P. & Gudex, C. & Kind, P. & Williams, A., 1996. "Valuing health states: A comparison of methods," Journal of Health Economics, Elsevier, vol. 15(2), pages 209-231, April.
    30. Johannesson, Magnus, 1995. "Qalys: A comment," Journal of Public Economics, Elsevier, vol. 56(2), pages 327-328, February.
    31. Cairns, John & Van der Pol, Marjon, 1997. "Constant and decreasing timing aversion for saving lives," Social Science & Medicine, Elsevier, vol. 45(11), pages 1653-1659, December.
    32. K. Stavem & I. S. Kristiansen & J. A. Olsen, 2002. "Association of time preference for health with age and disease severity," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 3(2), pages 120-124, June.
    33. Bleichrodt, Han & Johannesson, Magnus, 1997. "Standard gamble, time trade-off and rating scale: Experimental results on the ranking properties of QALYs," Journal of Health Economics, Elsevier, vol. 16(2), pages 155-175, April.
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    2. Arthur E. Attema & Han Bleichrodt & Peter P. Wakker, 2012. "A Direct Method for Measuring Discounting and QALYs More Easily and Reliably," Medical Decision Making, , vol. 32(4), pages 583-593, July.
    3. Lars Østerdal, 2009. "The lack of theoretical support for using person trade-offs in QALY-type models," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 10(4), pages 429-436, October.
    4. Stefan A. Lipman & Werner B.F. Brouwer & Arthur E. Attema, 2019. "QALYs without bias? Nonparametric correction of time trade‐off and standard gamble weights based on prospect theory," Health Economics, John Wiley & Sons, Ltd., vol. 28(7), pages 843-854, July.
    5. Arthur E. Attema & Werner B. F. Brouwer, 2008. "Can we fix it? Yes we can! But what? A new test of procedural invariance in TTO‐measurement," Health Economics, John Wiley & Sons, Ltd., vol. 17(7), pages 877-885, July.
    6. Attema, Arthur E. & Brouwer, Werner B.F., 2009. "The correction of TTO-scores for utility curvature using a risk-free utility elicitation method," Journal of Health Economics, Elsevier, vol. 28(1), pages 234-243, January.

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