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Lack of multiplicative transitivity in person trade‐off responses

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  • Michaël Schwarzinger
  • Jean‐Louis Lanoë
  • Erik Nord
  • Isabelle Durand‐Zaleski

Abstract

Background: The person trade‐off (PTO) is a technique for eliciting preferences for resource allocation across patient groups. In principle PTO responses should satisfy a requirement of multiplicative transitivity, i.e. that if people consider treatment of 1 in state A to be equivalent to treating 10 in state B, and 1 in state B to be equivalent to 10 in state C, then they should find 1 in state A equivalent to 100 in state C. Earlier studies addressing labelled diseases (specific diagnoses), have shown multiplicative intransitivity of the PTO responses. Our purpose was to test multiplicative transitivity in the case of health states described with the EuroQol instrument only and to find a possible framing effect such as the number of persons in the reference intervention. Methods: Forty‐four master degree students were asked to fill in a questionnaire addressing four chronic health states. Their task consisted in (1) ranking the states by severity, (2) valuing each of them by the means of the time trade‐off, and (3) doing the PTO for all the 10 possible pairwise combinations of the four chronic states plus a fatal one. In a subsequent questionnaire the number of persons in the reference intervention in the PTO was increased from 10 to 100. Multiplicative transitivity was studied in subjects who demonstrated a willingness to trade off and consistency in ranking individual values. Results: None of the 39 subjects included satisfied a minimum multiplicative transitivity requirement in PTO responses. Internal consistency was not improved when the PTO involved health states close to each other in terms of severity, nor when the prevention of death was not the reference intervention. For the 22 subjects having answered both types of questionnaire, increasing the number of persons in the reference intervention did not improve multiplicative transitivity. Conclusions: The PTO holds promise as a useful method for determining social preferences for priority setting, inasmuch as it captures distributive concerns that individual utility techniques such as the time trade‐off do not address. But the lack of multiplicative transitivity in PTO responses is unsatisfactory, and ways to reduce this problem need to be explored. Copyright © 2003 John Wiley & Sons, Ltd.

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  • Michaël Schwarzinger & Jean‐Louis Lanoë & Erik Nord & Isabelle Durand‐Zaleski, 2004. "Lack of multiplicative transitivity in person trade‐off responses," Health Economics, John Wiley & Sons, Ltd., vol. 13(2), pages 171-181, February.
    • Handle: RePEc:wly:hlthec:v:13:y:2004:i:2:p:171-181
    DOI: 10.1002/hec.808
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    References listed on IDEAS

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    14. 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.
    15. Nord, Erik, 1993. "The trade-off between severity of illness and treatment effect in cost-value analysis of health care," Health Policy, Elsevier, vol. 24(3), pages 227-238, August.
    16. Dolan, Paul & Kind, Paul, 1996. "Inconsistency and health state valuations," Social Science & Medicine, Elsevier, vol. 42(4), pages 609-615, February.
    17. John Brazier & Mark Deverill, 1999. "A checklist for judging preference‐based measures of health related quality of life: Learning from psychometrics," Health Economics, John Wiley & Sons, Ltd., vol. 8(1), pages 41-51, February.
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    20. Erik Nord & Jose Luis Pinto & Jeff Richardson & Paul Menzel & Peter Ubel, 1999. "Incorporating societal concerns for fairness in numerical valuations of health programmes," Health Economics, John Wiley & Sons, Ltd., vol. 8(1), pages 25-39, February.
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    1. 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.
    2. Emily Lancsar & Jordan Louviere, 2006. "Deleting ‘irrational’ responses from discrete choice experiments: a case of investigating or imposing preferences?," Health Economics, John Wiley & Sons, Ltd., vol. 15(8), pages 797-811, August.
    3. Jeff Richardson & John McKie & Stuart Peacock & Angelo Iezzi, 2011. "Severity as an independent determinant of the social value of a health service," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 12(2), pages 163-174, April.
    4. Erik Nord & Jose Luis Pinto & Jeff Richardson & Paul Menzel & Peter Ubel, 1999. "Incorporating societal concerns for fairness in numerical valuations of health programmes," Health Economics, John Wiley & Sons, Ltd., vol. 8(1), pages 25-39, February.
    5. Jeff Richardson & Angelo Iezzi & Kompal Sinha & Munir A. Khan & John Mckie, 2014. "An Instrument For Measuring The Social Willingness To Pay For Health State Improvement," Health Economics, John Wiley & Sons, Ltd., vol. 23(7), pages 792-805, July.

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