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Cited by 406

The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.

On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests

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Mood, A. M.·1954·The Annals of Mathematical Statistics

Abstract

In this paper the following asymptotic efficiencies are computed for the given two-sample tests against normal alternatives to the null hypothesis: $\text{rank test for location}\ldots\ldots\ldots\ldots 3/\pi \cong 95{\tt\%}$ $\text{median test for location}\ldots\ldots\ldots\ldots 2/\pi \cong 64{\tt\%}$ $\text{run test for location}\ldots\ldots\ldots \ldots 0$ $\text{run test for dispersion}\ldots\ldots\ldots\ldots 0$ $\text{square rank test for dispersion}\ldots\ldots\ldots\ldots 15/2\pi^2 \cong 76{\tt\%}$ Also, general expressions for means and variances of some of these test criteria are found for distributions alternative to the null hypothesis.

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Metadata

Authors
Mood, A. M.
Venue
The Annals of Mathematical Statistics
Published
1954-09
Volume
25
Issue
3
Pages
514-522
ISSN
0003-4851 (ISSN-L)
OpenAlex
W2016665082
Cited by
406
References
11
FWCI
10.18
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests. https://app.cochat.ai/papers/10.1214/aoms/1177728719
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Mood, A. M. (1954). On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177728719

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