The textbook I'm using this semester presents a 2-factor ANOVA problem
(3 levels of each factor) in which two of the 9 groups have zero
variance (identical observations for two replicates). Levene's test
indicates significant departure from homoscedasticity (this may not be
known to the authors of the text who provide the solution as if there
were no problems with homogeneity of variance). Is there ever a case
when you can trust the ANOVA results despite violations of
homoscedasticity like this? Obviously, no transformation is appropriate
and the non-parametric ANOVAs aren't good at handling interaction
effects (at least not Friedman).
--
Eugene D. Gallagher
ECOS, UMASS/Boston
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