2013
DOI: 10.22237/jmasm/1383278640
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Constructing Confidence Intervals for Effect Sizes in ANOVA Designs

Abstract: A confidence interval for effect sizes provides a range of plausible population effect sizes (ES) that are consistent with data. This article defines an ES as a standardized linear contrast of means. The noncentral method, Bonett's method, and the bias-corrected and accelerated bootstrap method are illustrated for constructing the confidence interval for such an effect size. Results obtained from the three methods are discussed and interpretations of results are offered.

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Cited by 4 publications
(2 citation statements)
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“…Bootstrapping was utilized for all analyses (with the exception of descriptive statistics) because it is a robust procedure that decreases the likelihood of bias in the parameter estimates, such as confidence intervals (Cumming, 2014; Wilcox, 2005). Bootstrapping was conducted with 1,000 iterations of the sampling procedure, and bias-corrected confidence intervals (95%, two-tailed) were calculated because they have been shown to lead to better estimates of upper and lower confidence interval limits (Chen & Peng, 2013).…”
Section: Methodsmentioning
confidence: 99%
“…Bootstrapping was utilized for all analyses (with the exception of descriptive statistics) because it is a robust procedure that decreases the likelihood of bias in the parameter estimates, such as confidence intervals (Cumming, 2014; Wilcox, 2005). Bootstrapping was conducted with 1,000 iterations of the sampling procedure, and bias-corrected confidence intervals (95%, two-tailed) were calculated because they have been shown to lead to better estimates of upper and lower confidence interval limits (Chen & Peng, 2013).…”
Section: Methodsmentioning
confidence: 99%
“…For the BCa CIs, we modified the SAS program written by Barker (2005). A demonstration of BCa CIs and the other two is published in Chen and Peng (2013). The nominal CI for all intervals was set at 0.95.…”
Section: Factors Manipulatedmentioning
confidence: 99%