The one-way analysis of variance is a staple of elementary statistics courses. The hypothesis test of homogeneity of the means encourages the use of the selected-model based estimators which are usually assessed without any regard for the uncertainty about the outcome of the test. We expose the weaknesses of such estimators when the uncertainty is taken into account, as it should be, and propose synthetic estimators as an alternative.
@article{urn:eudml:doc:42042,
title = {An alternative analysis of variance.},
journal = {SORT},
volume = {32},
year = {2008},
pages = {77-92},
zbl = {1184.62124},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42042}
}
Longford, Nicholas T. An alternative analysis of variance.. SORT, Tome 32 (2008) pp. 77-92. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42042/