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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1152,
author = {Naoya Okamoto and Takashi Seo},
title = {Multivariate multiple comparisons with a control in elliptical populations},
journal = {Discussiones Mathematicae Probability and Statistics},
volume = {33},
year = {2013},
pages = {191-205},
zbl = {1321.62060},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1152}
}
Naoya Okamoto; Takashi Seo. Multivariate multiple comparisons with a control in elliptical populations. Discussiones Mathematicae Probability and Statistics, Tome 33 (2013) pp. 191-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1152/
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