Journal
BEHAVIOR RESEARCH METHODS
Volume 50, Issue 1, Pages 285-301Publisher
SPRINGER
DOI: 10.3758/s13428-017-0870-1
Keywords
Mediation; Effect sizes; Bias; Efficiency; Interval estimates; Bayesian methods
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Funding
- National Institute on Mental Health [R01MH040859]
- National Institute on Drug Abuse [R01DA009757]
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This project examined the performance of classical and Bayesian estimators of four effect size measures for the indirect effect in a single-mediator model and a two-mediator model. Compared to the proportion and ratio mediation effect sizes, standardized mediation effect-size measures were relatively unbiased and efficient in the single-mediator model and the two-mediator model. Percentile and bias-corrected bootstrap interval estimates of ab/s (Y) , and ab(s (X) )/s (Y) in the single-mediator model outperformed interval estimates of the proportion and ratio effect sizes in terms of power, Type I error rate, coverage, imbalance, and interval width. For the two-mediator model, standardized effect-size measures were superior to the proportion and ratio effect-size measures. Furthermore, it was found that Bayesian point and interval summaries of posterior distributions of standardized effect-size measures reduced excessive relative bias for certain parameter combinations. The standardized effect-size measures are the best effect-size measures for quantifying mediated effects.
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