Beyond the F test: Effect size confidence intervals and tests of close fit in the analysis of variance and contrast analysis

This article presents confidence interval methods for improving on the standard F tests in the balanced, completely between-subjects, fixed-effects analysis of variance. Exact confidence intervals for omnibus effect size measures, such as or and the root-mean-square standardized effect, provide all...

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Bibliographic Details
Published in:Psychological methods Vol. 9; no. 2; p. 164
Main Author: Steiger, James H
Format: Journal Article
Language:English
Published: United States 01.06.2004
Subjects:
Analysis of Variance
Humans
Models, Psychological
Psychological Tests
Research Design
ISSN:1082-989X
Online Access:Get more information
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Summary:This article presents confidence interval methods for improving on the standard F tests in the balanced, completely between-subjects, fixed-effects analysis of variance. Exact confidence intervals for omnibus effect size measures, such as or and the root-mean-square standardized effect, provide all the information in the traditional hypothesis test and more. They allow one to test simultaneously whether overall effects are (a) zero (the traditional test), (b) trivial (do not exceed some small value), or (c) nontrivial (definitely exceed some minimal level). For situations in which single-degree-of-freedom contrasts are of primary interest, exact confidence interval methods for contrast effect size measures such as the contrast correlation are also provided.
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ISSN:1082-989X
DOI:10.1037/1082-989x.9.2.164