The Mistake of "Accepting the Null"
Almost all researchers who engage in hypothesis testing
have been taught that it is improper to conclude that a null hypothesis
is true simply because the hypothesis testing procedure leads to a fail-to-reject
decision. Nevertheless, many of these same researchers use language in
their research reports suggesting that they have completely forgotten
that a fail-to-reject decision does not logically permit one to leave
a study believing that the tested Ho is true. In your review of studies
that utilize two-way ANOVAs (or, for that matter, any procedure for testing
null hypotheses), remain vigilant to erroneous statements as to what a
nonsignificant finding means.
(From Chapter 14, p. 429)
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