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March, 1989 Power Comparisons for Invariant Variance Ratio Tests in Mixed Anova Models
Peter H. Westfall
Ann. Statist. 17(1): 318-326 (March, 1989). DOI: 10.1214/aos/1176347019

Abstract

A class of invariant hypothesis tests is considered for the purpose of testing a variance ratio arising in mixed models. Members of the class are most powerful for specific alternatives and limiting members of the class are Wald's test and the locally most powerful test. It is demonstrated that the locally most powerful test has the highest and Wald's test has the lowest asymptotic power when an asymptotically unbalanced sequence of ANOVA designs is considered under Pitman alternatives.

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Peter H. Westfall. "Power Comparisons for Invariant Variance Ratio Tests in Mixed Anova Models." Ann. Statist. 17 (1) 318 - 326, March, 1989. https://doi.org/10.1214/aos/1176347019

Information

Published: March, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0669.62055
MathSciNet: MR981453
Digital Object Identifier: 10.1214/aos/1176347019

Subjects:
Primary: 65F05
Secondary: 62J10

Rights: Copyright © 1989 Institute of Mathematical Statistics

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Vol.17 • No. 1 • March, 1989
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