2011
DOI: 10.1111/j.2044-8317.2011.02029.x
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Accuracy in parameter estimation for ANCOVA and ANOVA contrasts: Sample size planning via narrow confidence intervals

Abstract: Contrasts of means are often of interest because they describe the effect size among multiple treatments. High-quality inference of population effect sizes can be achieved through narrow confidence intervals (CIs). Given the close relation between CI width and sample size, we propose two methods to plan the sample size for an ANCOVA or ANOVA study, so that a sufficiently narrow CI for the population (standardized or unstandardized) contrast of interest will be obtained. The standard method plans the sample siz… Show more

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Cited by 27 publications
(20 citation statements)
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“…Alternative approaches to power calculations are available to researchers and may often provide more intuitive options for sample size estimation. These include processes to optimize the precision of an effect size (Lai & Kelley, 2012; Maxwell, Kelley, & Rausch, 2008), and approaches for non‐superiority hypotheses (Lakens, 2017). However, given that the vast majority of researchers in the field estimate sample size via power calculations, we shall consider this approach in the example.…”
Section: Discussion and Practical Recommendationsmentioning
confidence: 99%
“…Alternative approaches to power calculations are available to researchers and may often provide more intuitive options for sample size estimation. These include processes to optimize the precision of an effect size (Lai & Kelley, 2012; Maxwell, Kelley, & Rausch, 2008), and approaches for non‐superiority hypotheses (Lakens, 2017). However, given that the vast majority of researchers in the field estimate sample size via power calculations, we shall consider this approach in the example.…”
Section: Discussion and Practical Recommendationsmentioning
confidence: 99%
“…ANCOVA was also used to estimate treatment differences in the probability of repeating a choice after a reward (win-stay) or changing a choice after a loss (lose-shift) during the PL task. The procedures outlined by Lai and Kelley (in press) were used to calculate treatment effect size estimates and corresponding 95% confidence intervals (CI).…”
Section: Methodsmentioning
confidence: 99%
“…The required sample size to estimate a proportion can be computed with Accuracy In Parameter Estimation (AIPE) procedures (e.g., Cumming, 2014;Kelley & Rausch, 2006;Lai & Kelley, 2012). For example, in R-software by using the 'ufs' (Peters, 2020b) or 'MBESS' (Kelley, 2020) package.…”
Section: Step 2: Estimating the Control Event Rate Corresponding To Amentioning
confidence: 99%