The Annals of Mathematical Statistics
- Ann. Math. Statist.
- Volume 24, Number 2 (1953), 265-272.
Equivalent Comparisons of Experiments
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.
Article information
Source
Ann. Math. Statist. Volume 24, Number 2 (1953), 265-272.
Dates
First available in Project Euclid: 28 April 2007
Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177729032
Digital Object Identifier
doi:10.1214/aoms/1177729032
Mathematical Reviews number (MathSciNet)
MR56251
Zentralblatt MATH identifier
0050.36004
JSTOR
links.jstor.org
Citation
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