Journal
PSYCHOLOGICAL METHODS
Volume 9, Issue 2, Pages 164-182Publisher
AMER PSYCHOLOGICAL ASSOC
DOI: 10.1037/1082-989X.9.2.164
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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 omega(2) and the root-mean-square standardized effect, provide all the information in the traditional hypothesis lest 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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