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Multivariate one-sided multiple comparison procedure with a control based on the approximate likelihood ratio test.

作者信息

Imada Tsunehisa, Yamamoto Yoshiro

机构信息

Department of Business Management, Tokai University, Kumamoto, Japan.

出版信息

Biom J. 2010 Dec;52(6):771-83. doi: 10.1002/bimj.200900203.

DOI:10.1002/bimj.200900203
PMID:20799284
Abstract

In this study, we discuss a multiple comparison procedure with a control for multivariate one-sided test in each pairwise comparison. For pairwise comparisons, we use the approximate likelihood ratio test statistics derived by Tang et al. (An approximate likelihood ratio test for a normal mean vector with nonnegative components with application to clinical trials. Biometrika 1989, 76, 577-583). We derive a formula to determine the critical value for pairwise comparisons satisfying a specified significance level. Furthermore, we formulate the power of the test for our multiple comparison procedure. Finally, we give some numerical examples regarding the critical values and the power of the test.

摘要

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