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Equivalent Comparisons of Experiments
Open accessAbstract
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.
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Citations
Cited by
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Metadata
- Authors
- Blackwell, D.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1953-06
- Volume
- 24
- Issue
- 2
- Pages
- 265-272
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W2050495532
- Cited by
- 1,406
- References
- 0
- FWCI
- 1.56
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Blackwell, D. (1953). Equivalent Comparisons of Experiments. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177729032
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