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Further Results on Tests of Separate Families of Hypotheses

D. R. Cox
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 24, No. 2 (1962), pp. 406-424
Published by: Wiley for the Royal Statistical Society
Stable URL: http://www.jstor.org/stable/2984232
Page Count: 19
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Further Results on Tests of Separate Families of Hypotheses
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Abstract

It is required to test a composite null hypothesis. High power is desired against a composite alternative hypothesis that is not in the same parametric family as the null hypothesis. In an earlier paper a modification of the Neyman-Pearson maximum-likelihood ratio test was suggested for this problem. The present paper gives some general comments on the formulation of the problem, a general large-sample form for the test, and, finally, a number of examples.

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