Power of the t Test for Normal and Mixed Normal Distributions
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Published
Aug 11, 2023
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Marilyn S. Thompson
Arizona State University,
Samuel B. Green
Arizona State University
Yi-hsin Chen
Arizona State Universit
Shawn Stockford
Arizona State University
Wen-juo Lo
Arizona State University
Abstract
Previous research suggests that the power of the independent-samples t test decreases when population distributions are mixed normal rather than normal, and that robust methods have superior power under these conditions. However, under some conditions, the power for the independent-samples t test can be greater when the population distributions for the independent groups are mixed normal rather than normal. The implications of these results are discussed.
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