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.
Permanent link to this document: http://projecteuclid.org/euclid.aoms/1177729032
Digital Object Identifier: doi:10.1214/aoms/1177729032
Mathematical Reviews number (MathSciNet): MR56251
Zentralblatt MATH identifier: 0050.36004