2014
DOI: 10.3758/s13428-014-0461-3
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The sensitivity of three methods to nonnormality and unequal variances in interval estimation of effect sizes

Abstract: Confidence interval (CI) estimation for an effect size (ES) provides a range of possible population ESs supported by data. In this article, we investigated the noncentral t method, Bonett's method, and the bias-corrected and accelerated (BCa) bootstrap method for constructing CIs when a standardized linear contrast of means is defined as an ES. The noncentral t method assumes normality and equal variances, Bonett's method assumes only normality, and the BCa bootstrap method makes no assumptions. We simulated d… Show more

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Cited by 11 publications
(7 citation statements)
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“…Bootstrap is one of the robust ways to test differences between the means (Field, 2009). Robust Bias-corrected and accelerated (BCa) method of bootstrap is used when the sample size in each group is unequal and has less than 30 sample size (Chen and Peng, 2014). As sample size in all the classes, all demographic variables were unequal and less than 30, we used the BCa method of bootstrap.…”
Section: Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…Bootstrap is one of the robust ways to test differences between the means (Field, 2009). Robust Bias-corrected and accelerated (BCa) method of bootstrap is used when the sample size in each group is unequal and has less than 30 sample size (Chen and Peng, 2014). As sample size in all the classes, all demographic variables were unequal and less than 30, we used the BCa method of bootstrap.…”
Section: Methodsmentioning
confidence: 99%
“…Bootstrap is one of the robust ways to test differences between the means (Field, 2009). Biascorrected and accelerated (BCa) method of bootstrap is used when the sample size in each group is unequal and has less than 30 sample sizes (Chen and Peng, 2014). Further, it is recommended to use 2,000 bootstrap samples (Field and Wilcox, 2017).…”
Section: Impact Of Covid-19 Pandemicmentioning
confidence: 99%
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“…Due to unequal variances and skewed distributions in the data, bootstrapping techniques were used. Bootstrapping is a re-sampling method that does not make any assumptions on the sample's distribution (Chen and Peng, 2015 ) and is robust to violations of normality and heteroscedasticity (Parra-Frutos, 2014 ). Bootstrapping was carried out using a bias-corrected approach with 5000 samples to calculate bias-corrected 95% confidence intervals.…”
Section: Methodsmentioning
confidence: 99%
“…As a result of skewed distributions in the data, bootstrapping techniques were used. Bootstrapping is method of re-sampling that does not make any assumption on the sample's distribution (Chen and Peng, 2015) and is robust to violations of normality and sphericity (Berkovits et al, 2000). Bootstrapping was carried out using the Bias-Corrected and Accelerated approach with 5000 bootstrap samples.…”
Section: Statistical Analysesmentioning
confidence: 99%