On simultaneous confidence intervals for all contrasts in the means of the intraclass correlation model with missing data

Authors:
Takashi Seo;Jun Kikuchi;Kazuyuki Koizumi
Affiliations:
Department of Mathematical Information Science, Faculty of Science, Tokyo University of Science, Shinjuku-ku, Tokyo, Japan;Mathematical Systems, Inc., Shinjuku-ku, Tokyo, Japan;Department of Mathematics, Graduate School of Science, Tokyo University of Science, Shinjuku-ku, Tokyo, Japan
Venue:
Journal of Multivariate Analysis - Special issue dedicated to Professor Yasunori Fujikoshi
Year:
2006

Citing 2
Cited 2

Estimation for a common intraclass correlation in bivariate normal distributions with missing observations

MSI '00 Proceedings of the conference, volume III (in honor of Professor Minoru Siotani on his 70th birthday on Multivariate statistical analysis
Some basic properties of the MLE's for a multivariate normal distribution with monotone missing data

American Journal of Mathematical and Management Sciences - Special issue on MS1-2000 multivariate statistical analysis

Remarks on between estimator in the intraclass correlation model with missing data

Journal of Multivariate Analysis
On testing equality of pairwise rank correlations in a multivariate random vector

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Abstract

In this paper, we consider simultaneous confidence intervals for all contrasts in the means when the observations are missing at random in the intraclass correlation model. An exact test statistic for the equality of the means and Scheffé, Bonferroni and Tukey types of simultaneous confidence intervals are given by an extension of Bhargava and Srivastava [On Tukey's confidence intervals for the contrasts in the means of the intraclass correlation model, J. Royal Statist. Soc. B35 (1973) 147-152] when the missing observations are of the monotone type. Finally, numerical results of simultaneous confidence intervals are presented.