Rosenthal and others (cited earlier) have argued that small effects, as indexed by a small r2, for

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Rosenthal and others (cited earlier) have argued that small effects, as indexed by a small r2, for example, can be important in certain situations. We would probably all agree that small effects could be trivial in other situations.

a. Can an effect that is not statistically significant ever be important if it has a large enough r2?

b. How will the sample size contribute to the question of the importance of an effect?

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