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ArticleOriginal scientific text

Title

Multivariate multiple comparisons with a control in elliptical populations

Authors 1, 2

Affiliations

  1. Department of Food Sciences, Tokyo Seiei College 1-4-6, Nishishinkoiwa, Katsushika-ku, Tokyo 124-8530 Japan
  2. Department of Mathematical Information Science, Tokyo University of Science 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan

Abstract

The approximate upper percentile of Hotelling's T²-type statistic is derived in order to construct simultaneous confidence intervals for comparisons with a control under elliptical populations with unequal sample sizes. Accuracy and conservativeness of Bonferroni approximations are evaluated via a Monte Carlo simulation study. Finally, we explain the real data analysis using procedures derived in this paper.

Keywords

ENG
comparisons with a control, Bonferroni approximation and Monte Carlo simulation

Bibliography

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Discussiones Mathematicae Probability and Statistics
2013/33/1-2
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Pages:
191-205
Main language of publication
English
Received
2013-09-18
Accepted
2013-11-18
Published
2013

DOI: 10.7151/dmps1152

Exact and natural sciences