JOURNAL OF MULTIVARIATE ANALYSIS | 卷:93 |
Similar tests for covariance structures in multivariate linear models | |
Article | |
Forchini, G | |
关键词: multivariate linear model; similar tests; invariant tests; covariance matrix; locally best tests; weighted average power tests; | |
DOI : 10.1016/j.jmva.2004.04.001 | |
来源: Elsevier | |
【 摘 要 】
Nyblom (J. Multivariate Anal. 76 (2001) 294) has derived locally best invariant test for the covariance structure in a multivariate linear model. The class of invariant tests obtained by Nyblom [9] does not coincide with the class of similar tests for this testing set-up. This paper extends some of the results of Nyblom [9] by deriving the locally best similar tests for the covariance structure. Moreover, it develops a saddlepoint approximation to optimal weighted average power similar tests (i.e. tests which maximize a weighted average power). (c) 2004 Elsevier Inc. All rights reserved.
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