1953/06/01 by David Blackwell · 86 citations
Decision Sciences · Mathematics · #Advanced Statistical Process Monitoring #Advanced Statistical Methods and Models #Optimal Experimental Design Methods
paper · doi:10.1214/aoms/1177729032
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.