Planned Comparisons in Two-Way ANOVAs
The researchers associated with Excerpt 14.29 [not shown
here] deserve credit for having specific plans in mind when they designed
their study and when they analyzed their data. Their research questions
guided their statistical analysis, and as we have noted, their analysis
did not follow the conventional "rules" for making statistical
comparisons in a two way ANOVA. Far too many applied researchers erroneously
think that (1) F-tests for main and interaction effects must be computed
and (2) comparisons of cell means can be made only if the interaction
is significant. This is unfortunate for several reasons, the main one
being that planned comparisons of cell means can sometimes produce interesting
findings that remain undetected by the "standard" F-tests of
a two-way ANOVA.
(From Chapter 14, pp. 415-416)
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