Generalized F tests were introduced by Michalski and Zmyślony (1996) for variance components and later (1999) for linear functions of parameters in mixed linear models. We now use generalized polar coordinates to obtain, for the second case, tests that are more powerful for selected families of alternatives.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1057,
author = {C. Nunes and J. T. Mexia},
title = {Selective generalized F tests},
journal = {Discussiones Mathematicae Probability and Statistics},
volume = {24},
year = {2004},
pages = {281-288},
zbl = {1165.62306},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1057}
}
C. Nunes; J. T. Mexia. Selective generalized F tests. Discussiones Mathematicae Probability and Statistics, Tome 24 (2004) pp. 281-288. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1057/
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