Open Access
June 2014 Recent developments of multivariate multiple comparisons among mean vectors
Takahiro Nishiyama, Masashi Hyodo, Takashi Seo
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SUT J. Math. 50(2): 247-270 (June 2014). DOI: 10.55937/sut/1424793883

Abstract

We discuss multivariate multiple comparison procedure among mean vectors. In general, it is difficult to find the exact critical value that is used for this problem. So, some approximation procedures have been discussed by many authors. In this paper, we review some results concerning the following approximation procedures: (i) multivariate Tukey-Kramer type procedure and (ii) approximation procedure based on Bonferroni’s inequality.

Acknowledgements

The authors would like to thank reviewer for many valuable comments and helpful suggestions which led to an improved version of this paper.

Citation

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Takahiro Nishiyama. Masashi Hyodo. Takashi Seo. "Recent developments of multivariate multiple comparisons among mean vectors." SUT J. Math. 50 (2) 247 - 270, June 2014. https://doi.org/10.55937/sut/1424793883

Information

Received: 4 September 2014; Revised: 27 October 2014; Published: June 2014
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1424793883

Subjects:
Primary: 62H10 , 62H15

Keywords: asymptotic expansion , Bonferroni’s inequality , Multiple comparisons , multivariate Tukey-Kramer procedure , simultaneous confidence intervals

Rights: Copyright © 2014 Tokyo University of Science

Vol.50 • No. 2 • June 2014
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