The Annals of Mathematical Statistics
- Ann. Math. Statist.
- Volume 24, Number 2 (1953), 265-272.
Equivalent Comparisons of Experiments
Sherman  and Stein  have shown that a method given by the author  for comparing two experiments is equivalent, for experiments with a finite number of outcomes, to the original method introduced by Bohnenblust, Shapley, and Sherman . A new proof of this result is given, and the restriction to experiments with a finite number of outcomes is removed. A class of weaker comparisons--comparison in $k$-decision problems--is introduced, in three equivalent forms. For dichotomies, all methods are equivalent, and can be described in terms of errors of the first and second kinds.
Ann. Math. Statist. Volume 24, Number 2 (1953), 265-272.
First available in Project Euclid: 28 April 2007
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Blackwell, David. Equivalent Comparisons of Experiments. Ann. Math. Statist. 24 (1953), no. 2, 265--272. doi:10.1214/aoms/1177729032. https://projecteuclid.org/euclid.aoms/1177729032.