Open Access
June 2008 On the tests for the equality of means in the intraclass correlation model with missing data
Kazuyuki Koizumi
Author Affiliations +
SUT J. Math. 44(2): 289-296 (June 2008). DOI: 10.55937/sut/1234383518

Abstract

In this paper, testing for the equality of mean components and of two mean vectors in repeated measures with the intraclass correlation model are treated when the missing observations occur. We consider a new test statistic for the equality of mean components in one-sample problem. Further, we derive a new test statistic for the equality of two mean vectors. The distributions of the test statistics are given under the general case of missing observations. Finally, numerical examples by Monte Carlo simulation are conducted to illustrate power of the method proposed in this paper.

Acknowledgements

The author wish to express his sincere gratitude to Professor Takashi Seo for his helpful advices and comments. The author would like to thank the referee for his careful readings and useful suggestions.

Citation

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Kazuyuki Koizumi. "On the tests for the equality of means in the intraclass correlation model with missing data." SUT J. Math. 44 (2) 289 - 296, June 2008. https://doi.org/10.55937/sut/1234383518

Information

Received: 3 October 2008; Published: June 2008
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1234383518

Subjects:
Primary: 62H15 , 62J15

Keywords: Hotelling’s T2-statistic , intraclass correlation model , missing observations , power , two-sample problem

Rights: Copyright © 2008 Tokyo University of Science

Vol.44 • No. 2 • June 2008
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