A More Powerful Familywise Error Control Procedure for Evaluating Mean Equivalence
Davidson, Heather Patricia
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When one wishes to show that there are no meaningful differences between two or more groups, equivalence tests should be used, as a nonsignificant test of mean difference does not provide evidence regarding the equivalence of groups. When conducting all possible post-hoc pairwise comparisons, C, Caffo, Lauzon and Rohmel (2013) suggested dividing the alpha level by a correction of k2/4, where k is the number of groups to be compared, however this procedure can be conservative in some situations. This research proposes two modified stepwise procedures, based on this correction of k2/4, for controlling the familywise Type I error rate. Using a Monte Carlo simulation method, we show that, across a variety of conditions, adopting a stepwise procedure increases power, particularity when a configuration of means has greater than C - k2/4 power comparisons, while maintaining the familywise error rate at or below . Implications for psychological research and directions for future study are discussed.