You Can't Make a Silk Purse Out of a
Sow's Ear
We cannot overemphasize how important it is to critically
assess the worth of the hypotheses being tested within any study based
upon a two-way ANOVA. No matter how good the study may be from a statistical
perspective and no matter how clear the research report is, the study
cannot possibly make a contribution unless the questions being dealt with
are interesting. In other words, the research questions that prompt the
investigator to select the factors and levels of the two-way ANOVA must
be worth answering and must have no clear answer before the study is conducted.
If these things do not hold true, then the study has a fatal flaw in its
foundation that cannot be overcome by large sample sizes, rigorous alpha
levels, impressive reliability and validity estimates, impressive F-ratios
that are statistically significant, elaborate post hoc analyses, tests
of assumptions, and power analyses. The old saying that "you can't
make a silk purse from a sow's ear" is as relevant here as anywhere
else.
(From Chapter 14, p. 424)
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