One-Way ANOVAs and What's REALLY Important
A one-way ANOVA (like any other statistical analysis)
cannot magically transform a flawed study into a sound one. And where
can a study be flawed the most? The answer to this question is unrelated
to F-tests, equal variance assumptions, effect size indices, or Bonferroni
adjustments. That's because the potential worth of any study is connected,
first and foremost, to the research question that sets the data-collection-and-analysis
wheels in motion. If the research question is silly or irrelevant, a one-way
ANOVA cannot make the study worthwhile. Hence, don't be impressed
by researchers who use one-way ANOVAs until you have first considered
the merits of the research questions being addressed.
(From Chapter 12, p. 351)
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