Two-Stage Likelihood Ratio and Union–Intersection Tests for One-Sided Alternatives Multivariate Mean with Nuisance Dispersion Matrix

Author: Sen P.K.   Tsai M-T.  

Publisher: Academic Press

ISSN: 0047-259X

Source: Journal of Multivariate Analysis, Vol.68, Iss.2, 1999-02, pp. : 264-282

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Abstract

For a multinormal distribution with an unknown dispersion matrix, union-intersection (UI) tests for the mean against one-sided alternatives are considered. The null distribution of the UI test statistic is derived and its power monotonicity properties are studied. A Stain-type two-stage procedure is proposed to eliminate some of the inherent drawbacks of such tests. Some comparisons are also made with some recently proposed alternative conditional likelihood ratio tests. Copyright 1999 Academic Press.