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Journal ArticleDOI

Nonparametric test of restricted interchangeability

TLDR
In this article, the rank order test under the null hypothesis of restricted interchangeability was proposed and the asymptotic relative efficiency of this nonparametric test in comparison with Votaw's (1948, Ann. Math. Statist, 19, 447,473) likelihood ratio test was given.
Abstract
Exact and large sample distributions of the rank order test under the null hypothesis of restricted interchangeability are obtained. Under given regularity conditions and under Pitman's shift in location alternative, the asymptotic relative efficiency of this nonparametric test in comparison with Votaw's (1948, Ann. Math. Statist., 19, 447–473) likelihood ratio test is given.

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References
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Journal ArticleDOI

Asymptotic normality and efficiency of certain nonparametric test statistics

TL;DR: In this paper, it was shown for all alternative hypotheses that the FisherYates-Terry-Hoeffding cl-statistic is asymptotically normal and the test for translation based on it is at least as efficient as the t-test.
Journal ArticleDOI

Testing Compound Symmetry in a Normal Multivariate Distribution

TL;DR: In this paper, the Neyman-Pearson likelihood-ratio method is used for testing hypotheses of compound symmetry in a normal multivariate population of variates on basis of samples.
Journal ArticleDOI

On some nonparametric generalizations of Wilks' tests for H M, HVC and H MVC, I

TL;DR: In this article, some nonparametric rank order tests are offered for testing the hypothesis of equality of location parameters of a multinormal distribution of unspecified form, and the general problem of non-parametric tests for the hypothesesHVC andHMVC will be considered.

Rank order tests for interchangeability in some restricted and incomplete models

TL;DR: In this paper, Jerdak et al. extended the distribution-free rank order test to test the hypothesis of restricted interchangeability against shift in location alternative within each treatment set.
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