An Alternative Analysis of Variance
N. T. Longford
Abstract
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.
SORT, 32, 77-91, 2008.
June 2008