The effects of violations of assumptions underlying the t test

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There has been an increase lately in the use of the frequently less powerful nonparametric statistical techniques particularly when the data do not meet the assumptions for t or analysis of variance. By means of empirical analysis and a mathematical frame of reference it is demonstrated that the probability values for both t, and by generalization for F are scarcely influenced when the data do not meet the required assumptions. One exception to this conclusion is the situation where there exists unequal variances and unequal sample sizes. In this case the probability values will be quite different from the nominal values. 22 refs. (PsycINFO Database Record (c) 2006 APA, all rights reserved)

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