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A More Powerful Familywise Error Control Procedure for Evaluating Mean Equivalence

A More Powerful Familywise Error Control Procedure for Evaluating Mean Equivalence

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Title: A More Powerful Familywise Error Control Procedure for Evaluating Mean Equivalence
Author: Davidson, Heather Patricia
Abstract: 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.
Subject: Psychology
Keywords: Equivalence testing
Multiple comparisons
Familywise error rate
Type I error control
Quantitative psychology
Type: Electronic Thesis or Dissertation
Rights: Author owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
URI: http://hdl.handle.net/10315/34263
Supervisor: Cribbie, Robert A.
Degree: MA - Master of Arts
Program: Psychology (Functional Area: Quantitative Methods)
Exam date: 2017-05-17
Publish on: 2018-03-01

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