ICE preference maps: nonlinear generalizations of net benefit and acceptability |
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Authors: | Robert L Obenchain |
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Institution: | (1) Division of Biostatistics, IU Medical School, Indianapolis, IN, USA;(2) US Medical Outcomes Research, Eli Lilly, Indianapolis, IN, USA;(3) 13212 Griffin Run, Carmel, IN 46033-8835, USA |
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Abstract: | The Net Benefit (NB) approach to Incremental Cost-Effectiveness (ICE) statistical inference uses a linear function (map) to
assign a real valued, numerical preference score to every point on the 2-dimensional ICE plane. We argue that coherent ICE
preferences satisfy four intuitive axioms and propose a 2-parameter family of maps that satisfy these axioms and provide highly
realistic generalizations of NB. For example, nonlinear maps do not require that returns-to-scale be linear (constant) or
that willingness-to-pay (WTP) and willingness-to-accept (WTA) are both equal to the shadow price of health, λ. In fact, all
of our maps have the property that
With λ held fixed, this geometric mean relationship shows that WTA must decrease when WTP increases and vice versa. This
relationship thus provides not only a polar angular measure of the size of “Bernie’s Kink,” WTP < WTA, but also the theoretical
basis for Buckingham’s ALICE curve generalization of acceptability. Finally, we argue that uncertainty about economic preferences
expressed by varying λ can totally swamp the statistical uncertainty in patient level data expressed by a wedge-shaped, bootstrap
ICE confidence region that does not depend upon λ in the sense that it is equivariant under changes in λ.
Financial support for this research was provided entirely by Eli Lilly and Company. The author’s independence in writing and
publishing his research is ensured by Lilly’s published Principles of Medical Research. The author is a retired pensioner
and a stockholder of Eli Lilly and Company. |
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Keywords: | ICE outcome pairs Linear standardization Preference map Returns-to-scale Willingness-to-pay/accept |
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