Open Access
January 2006 Simultaneous confidence intervals for all contrasts of the means in repeated measures with missing observations
Kazuyuki Koizumi, Takashi Seo
Author Affiliations +
SUT J. Math. 42(1): 133-144 (January 2006). DOI: 10.55937/sut/1159987899

Abstract

Simultaneous confidence intervals for all contrasts of the mean components in repeated measures with the intraclass correlation model are considered when the observations are missing at random. An exact test statistic for the equality of means and Scheffé, Bonferroni and Tukey types of simultaneous confidence intervals are given under the general case of missing observations. Finally, numerical examples by simulation are given to illustrate the method.

Funding Statement

The research of the second author was supported in part by Grant-in-Aid for Encouragement of Young Scientists under Contract Number 15700238.

Acknowledgements

The authors would like to thank the referee for his useful comments. The authors are also grateful to Hiromichi Isowa, Takao Kimura and Yuichi Koike for their help with drawing the graphs.

Citation

Download Citation

Kazuyuki Koizumi. Takashi Seo. "Simultaneous confidence intervals for all contrasts of the means in repeated measures with missing observations." SUT J. Math. 42 (1) 133 - 144, January 2006. https://doi.org/10.55937/sut/1159987899

Information

Received: 14 January 2006; Revised: 14 April 2006; Published: January 2006
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1159987899

Subjects:
Primary: 62H15 , 62J15

Keywords: intraclass correlation model , missing data , Monte Carlo simulation , testing equality of means

Rights: Copyright © 2006 Tokyo University of Science

Vol.42 • No. 1 • January 2006
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