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Statistical Problems of Treatment Allocation

J. Aitchison
Journal of the Royal Statistical Society. Series A (General)
Vol. 133, No. 2 (1970), pp. 206-239
Published by: Wiley for the Royal Statistical Society
DOI: 10.2307/2343690
Stable URL: http://www.jstor.org/stable/2343690
Page Count: 34
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Statistical Problems of Treatment Allocation
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Abstract

The problem of allocating one of a number of possible treatments to an individual on the basis of information about his initial state must take account of the associated prognosis distributions for his future state and also the utility structure. A decision-theoretic model for such treatment allocation is presented and within its framework are considered questions of optimality, suboptimality of various kinds, and also the feasibility of recovering the implicit utility structure used by a decision-maker from observation of his pattern of treatment allocation.

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