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The General MANOVA Problem

Takeaki Kariya

The Annals of Statistics · 1978 · Volume 6 · Issue 1

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.

Keywords

62C07, 62H15, Admissibility, Essentially complete class, general MANOVA problem, local minimaxity, Locally best invariant test, LRT, maximal invariant, UMPI

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