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ERIC Number: EJ1215471
Record Type: Journal
Publication Date: 2019
Pages: 9
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0022-0973
EISSN: N/A
Brief Research Report: A User Friendly Effect Size--When Normality Matters
Waterbury, Glenn Thomas; DeMars, Christine E.
Journal of Experimental Education, v87 n2 p260-268 2019
There is a need for effect sizes that are readily interpretable by a broad audience. One index that might fill this need is [pi], which represents the proportion of scores in one group that exceed the mean of another group. The robustness of estimates of [pi] to violations of normality had not been explored. Using simulated data, three estimates of [pi] ([pi-hat][subscript direct], r, and r[subscript robust]) were studied under varying conditions of sample size, distribution shape, and group mean difference. This study demonstrated that r and r[subscript robust] were biased estimates of [pi] when data were nonnormal. We recommend that neither be used in estimating [pi] unless data are normally distributed.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A