Abstract
Sherman [8] and Stein [9] have shown that a method given by the author [1] for comparing two experiments is equivalent, for experiments with a finite number of outcomes, to the original method introduced by Bohnenblust, Shapley, and Sherman [4]. 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.
Citation
David Blackwell. "Equivalent Comparisons of Experiments." Ann. Math. Statist. 24 (2) 265 - 272, June, 1953. https://doi.org/10.1214/aoms/1177729032
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