title: The trade-off between accuracy and precision in latent variable models of mediation processes.
abstract: Social psychologists place high importance on understanding mechanisms and frequently employ mediation analyses to shed light on the process underlying an effect. Such analyses can be conducted with observed variables (e.g., a typical regression approach) or latent variables (e.g., a structural equation modeling approach), and choosing between these methods can be a more complex and consequential decision than researchers often realize. The present article adds to the literature on mediation by examining the relative trade-off between accuracy and precision in latent versus observed variable modeling. Whereas past work has shown that latent variable models tend to produce more accurate estimates, we demonstrate that this increase in accuracy comes at the cost of increased standard errors and reduced power, and examine this relative trade-off both theoretically and empirically in a typical 3-variable mediation model across varying levels of effect size and reliability. We discuss implications for social psychologists seeking to uncover mediating variables and provide 3 practical recommendations for maximizing both accuracy and precision in mediation analyses.
authors.affiliation: Department of Psychology, University of California, Davis, CA 95616, USA. aledgerwood@ucdavis.edu
authors.forename: Alison
authors.initials: A
authors.lastname: Ledgerwood
authors.forename: Patrick E
authors.initials: PE
authors.lastname: Shrout
mesh_terms: D015982:Bias; D054242:Emigrants and Immigrants / Q000523:psychology / Q000706:statistics & numerical data; D006801:Humans; D008960:Models, Psychological; D015233:Models, Statistical; D011593:Psychology, Social; D015203:Reproducibility of Results; D012107:Research Design; D018401:Sample Size