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January, 1978 The General MANOVA Problem
Takeaki Kariya
Ann. Statist. 6(1): 200-214 (January, 1978). DOI: 10.1214/aos/1176344079

Abstract

This paper treats a generalization of the classical MANOVA testing problem. The problem is reduced via invariance considerations and a new test statistic is proposed. This new test is shown to be a unique locally best invariant test and locally minimax.

Citation

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Takeaki Kariya. "The General MANOVA Problem." Ann. Statist. 6 (1) 200 - 214, January, 1978. https://doi.org/10.1214/aos/1176344079

Information

Published: January, 1978
First available in Project Euclid: 12 April 2007

zbMATH: 0382.62042
MathSciNet: MR474629
Digital Object Identifier: 10.1214/aos/1176344079

Subjects:
Primary: 62H15
Secondary: 62C07

Keywords: Admissibility , Essentially complete class , general MANOVA problem , local minimaxity , Locally best invariant test , LRT , maximal invariant , UMPI

Rights: Copyright © 1978 Institute of Mathematical Statistics

Vol.6 • No. 1 • January, 1978
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