2017
DOI: 10.1177/1948550617715068
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Determining Power and Sample Size for Simple and Complex Mediation Models

Abstract: Mediation analyses abound in social and personality psychology. Current recommendations for assessing power and sample size in mediation models include using a Monte Carlo power analysis simulation and testing the indirect effect with a bootstrapped confidence interval. Unfortunately, these methods have rarely been adopted by researchers due to limited software options and the computational time needed. We propose a new method and convenient tools for determining sample size and power in mediation models. We d… Show more

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Cited by 921 publications
(657 citation statements)
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References 27 publications
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“…Regarding the Study 3 mediation analyses, a Monte Carlo power analysis for indirect effects (Schoemann, Boulton, & Short, ) revealed that we would need about 630 and 1,250 participants, respectively, for fusion with the United States and fusion with political party, to achieve .80 power. Given that these sample sizes were not feasible for us and recognizing that our mediations are thus underpowered, we report these analyses but treat them as exploratory and descriptive.…”
Section: Methodsmentioning
confidence: 99%
“…Regarding the Study 3 mediation analyses, a Monte Carlo power analysis for indirect effects (Schoemann, Boulton, & Short, ) revealed that we would need about 630 and 1,250 participants, respectively, for fusion with the United States and fusion with political party, to achieve .80 power. Given that these sample sizes were not feasible for us and recognizing that our mediations are thus underpowered, we report these analyses but treat them as exploratory and descriptive.…”
Section: Methodsmentioning
confidence: 99%
“…We used the effect sizes from previous literature (e.g., Moynihan et al, 2017a), Study 2a, and Study 3a as guidance for an appropriate sample size. Post-hoc analyses showed that our sample size allowed us to detect our achieved indirect effect with a power of 0.68 when adopting a Type-I error rate of a ≤ .05, 10,000 power analysis replications, and 20,000 Monte Carlo draws per replications (two-tailed; Schoemann et al, 2017). Data collection for Study 3b was completed in two stages, checked after recruiting the initial subsample, and fully analyzed after recruiting the overall sample.…”
Section: Methodsmentioning
confidence: 99%
“…In Study 3a, based on the effects found, at least 156 participants would have been required to achieve adequate statistical power for our achieved indirect effect (Schoemann et al, 2017). In turn, we recruited 203 participants for Study 3b.…”
mentioning
confidence: 99%
“…At this stage the researcher should also specify the expected size of the effects in the nomological network and base the selection of the sample size on those effects. Tools to estimate sample size and statistical power for complex path analytic models with indirect effects using Monte Carlo simulations have recently been made available (Schoemann et al, 2017). Consistent with the requirement for sound data and recent advocacy for strong data to test effects in social psychology (Open Science Collaboration, 2015), researchers should also aim for stringent alpha levels and high >0.90 statistical power to control for type I and type II error rates, respectively.…”
Section: Guidelines For Model Testing Based On Nomological Validitymentioning
confidence: 99%