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QALYs without bias? Nonparametric correction of time trade‐off and standard gamble weights based on prospect theory

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  • Stefan A. Lipman
  • Werner B.F. Brouwer
  • Arthur E. Attema

Abstract

Common health state valuation methodologies, such as standard gamble (SG) and time trade‐off (TTO), typically produce different weights for identical health states. We attempt to alleviate these differences by correcting the confounding influences modeled in prospect theory: loss aversion and probability weighting. Furthermore, we correct for nonlinear utility of life duration. In contrast to earlier attempts at correcting TTO and SG weights, we measure and correct all these tenets simultaneously, using newly developed nonparametric methodology. These corrections were applied to three less‐than‐perfect health states, measured with TTO and SG. We found considerable loss aversion and probability weighting for both gains and losses in life years, and we observe concave utility for gains and convex utility for losses in life years. After correction, the initially significant differences in weights between TTO and SG disappeared for all health states. Our findings suggest new opportunities to account for bias in health state valuations but also the need for further validation of resulting weights.

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  • 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.
  • Handle: RePEc:wly:hlthec:v:28:y:2019:i:7:p:843-854
    DOI: 10.1002/hec.3895
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    1. Han Bleichrodt & Ulrich Schmidt & Horst Zank, 2009. "Additive Utility in Prospect Theory," Management Science, INFORMS, vol. 55(5), pages 863-873, May.
    2. Noussair, Charles & Robin, Stephane & Ruffieux, Bernard, 2004. "Revealing consumers' willingness-to-pay: A comparison of the BDM mechanism and the Vickrey auction," Journal of Economic Psychology, Elsevier, vol. 25(6), pages 725-741, December.
    3. 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.
    4. F. E. van Nooten & X. Koolman & W. B. F. Brouwer, 2009. "The influence of subjective life expectancy on health state valuations using a 10 year TTO," Health Economics, John Wiley & Sons, Ltd., vol. 18(5), pages 549-558, May.
    5. Oliver, Adam, 2003. "The internal consistency of the standard gamble: tests after adjusting for prospect theory," LSE Research Online Documents on Economics 159, London School of Economics and Political Science, LSE Library.
    6. Jonathan R. Treadwell & Leslie A. Lenert, 1999. "Health Values and Prospect Theory," Medical Decision Making, , vol. 19(3), pages 344-352, August.
    7. Attema, Arthur E. & Brouwer, Werner B.F. & l’Haridon, Olivier, 2013. "Prospect theory in the health domain: A quantitative assessment," Journal of Health Economics, Elsevier, vol. 32(6), pages 1057-1065.
    8. Arthur E. Attema & Werner B.F. Brouwer & Olivier l'Haridon, 2013. "A quantification of prospect theory in the health domain," Economics Working Paper Archive (University of Rennes & University of Caen) 201321, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    9. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    10. 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.
    11. Arthur E. Attema & Han Bleichrodt & Olivier L'Haridon, 2018. "Ambiguity preferences for health," Health Economics, John Wiley & Sons, Ltd., vol. 27(11), pages 1699-1716, November.
    12. 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.
    13. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344, December.
    14. Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
    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. A.M. Stiggelbout & G.M. Kiebert & J. Kievit & J.W.H. Leer & G. Stoter & J.C.J.M. De Haes, 1994. "Utility Assessment in Cancer Patients," Medical Decision Making, , vol. 14(1), pages 82-90, February.
    17. Mohammed Abdellaoui & Han Bleichrodt & Olivier L’haridon & Dennie van Dolder, 2016. "Measuring Loss Aversion under Ambiguity: A Method to Make Prospect Theory Completely Observable," Post-Print halshs-01242616, HAL.
    18. 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.
    19. Han Bleichrodt & Jose Maria Abellan-Perpiñan & Jose Luis Pinto-Prades & Ildefonso Mendez-Martinez, 2007. "Resolving Inconsistencies in Utility Measurement Under Risk: Tests of Generalizations of Expected Utility," Management Science, INFORMS, vol. 53(3), pages 469-482, March.
    20. 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.
    21. 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.
    22. 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.
    23. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344.
    24. Oliver, Adam, 2003. "The internal consistency of the standard gamble: tests after adjusting for prospect theory," Journal of Health Economics, Elsevier, vol. 22(4), pages 659-674, July.
    25. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    26. Sylvie M. C. van Osch & Wilbert B. van den Hout & Anne M. Stiggelbout, 2006. "Exploring the Reference Point in Prospect Theory: Gambles for Length of Life," Medical Decision Making, , vol. 26(4), pages 338-346, July.
    27. Floortje van Nooten & Werner Brouwer, 2004. "The influence of subjective expectations about length and quality of life on time trade‐off answers," Health Economics, John Wiley & Sons, Ltd., vol. 13(8), pages 819-823, August.
    28. Han Bleichrodt, 2002. "A new explanation for the difference between time trade‐off utilities and standard gamble utilities," Health Economics, John Wiley & Sons, Ltd., vol. 11(5), pages 447-456, July.
    29. Miyamoto, John M. & Eraker, Stephen A., 1989. "Parametric models of the utility of survival duration: Tests of axioms in a generic utility framework," Organizational Behavior and Human Decision Processes, Elsevier, vol. 44(2), pages 166-202, October.
    30. Sylvie M. C. van Osch & Anne M. Stiggelbout, 2008. "The construction of standard gamble utilities," Health Economics, John Wiley & Sons, Ltd., vol. 17(1), pages 31-40, January.
    31. 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.
    32. Drummond, Michael F. & Sculpher, Mark J. & Claxton, Karl & Stoddart, Greg L. & Torrance, George W., 2015. "Methods for the Economic Evaluation of Health Care Programmes," OUP Catalogue, Oxford University Press, edition 4, number 9780199665884.
    33. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
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    1. Thesis Thursday: Stefan Lipman
      by Chris Sampson in The Academic Health Economists' Blog on 2021-01-21 07:00:04

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    2. Spencer, Anne & Rivero-Arias, Oliver & Wong, Ruth & Tsuchiya, Aki & Bleichrodt, Han & Edwards, Rhiannon Tudor & Norman, Richard & Lloyd, Andrew & Clarke, Philip, 2022. "The QALY at 50: One story many voices," Social Science & Medicine, Elsevier, vol. 296(C).
    3. Johanna Vásquez & Sergio Botero, 2020. "Hybrid Methodology to Improve Health Status Utility Values Derivation Using EQ-5D-5L and Advanced Multi-Criteria Techniques," IJERPH, MDPI, vol. 17(4), pages 1-18, February.
    4. Lipman, Stefan A. & Brouwer, Werner B.F. & Attema, Arthur E., 2020. "Living up to expectations: Experimental tests of subjective life expectancy as reference point in time trade-off and standard gamble," Journal of Health Economics, Elsevier, vol. 71(C).

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