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On simultaneous confidence intervals for all contrasts in the means of the intraclass correlation model with missing data
Authors:Takashi Seo
Institution:a Department of Mathematical Information Science, Faculty of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
b Mathematical Systems, Inc., 10F Four Seasons Bldg., 2-4-3 Shinjuku, Shinjuku-ku, Tokyo 160-0022, Japan
c Department of Mathematics, Graduate School of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
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.
Keywords:primary 62J15  secondary 62H15
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