2004
DOI: 10.1037/1082-989x.9.2.164
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Beyond the F Test: Effect Size Confidence Intervals and Tests of Close Fit in the Analysis of Variance and Contrast Analysis.

Abstract: 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) no… Show more

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Cited by 489 publications
(425 citation statements)
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References 30 publications
(55 reference statements)
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“…We report 95% confidence intervals for Cohen's d (Cohen, 1992) and 90% confidence intervals for partial eta-squared (Steiger, 2004) To summarize, the results were inconsistent with our expectations that lineups would appear fairest when consensus descriptions were used and least fair when comprehensive descriptions were used. Lineups appeared largest when paired with individual descriptions and smallest when paired with consensus descriptions.…”
Section: Mock-witness Task Methodologycontrasting
confidence: 73%
“…We report 95% confidence intervals for Cohen's d (Cohen, 1992) and 90% confidence intervals for partial eta-squared (Steiger, 2004) To summarize, the results were inconsistent with our expectations that lineups would appear fairest when consensus descriptions were used and least fair when comprehensive descriptions were used. Lineups appeared largest when paired with individual descriptions and smallest when paired with consensus descriptions.…”
Section: Mock-witness Task Methodologycontrasting
confidence: 73%
“…By conducting a sensitivity power analysis with G*power software (version 3.1.6) [28], we found a minimum detectable effect (MDE) [29]. A 90 percent (1 -2α) confidence interval (CI) for η 2 p was also reported since the effect size is an upper-tailed (0 to 1) parameter [30]. p-Values < 0.05 were regarded as significant.…”
Section: Discussionmentioning
confidence: 95%
“…Like the η 2 p estimate, the corresponding CIs cannot be less than 0. Since the CI represents the precision with which we are able to report the effect size, employing a confidence coefficient of 90 percent is an appropriate way to verify the size of an effect [30]. It must be pointed out that some CIs covered small or medium parameter values despite a corresponding large η 2 p absolute value.…”
Section: Discussionmentioning
confidence: 99%
“…Applying the noncentral method for constructing the CI for a standardized linear contrast of means is discussed in the literature (Cumming & Finch, 2001;Kline, 2004;Steiger, 2004). Liu (2010) illustrated the geometric meaning of the noncentrality parameter for a linear contrast in a Euclidian space.…”
Section: Noncentral Methodsmentioning
confidence: 99%