2013
DOI: 10.1080/00220973.2013.813360
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Tests of Mediation: Paradoxical Decline in Statistical Power as a Function of Mediator Collinearity

Abstract: Increasing the correlation between the independent variable and the mediator (a coefficient) increases the effect size (ab) for mediation analysis; however, increasing a by definition increases collinearity in mediation models. As a result, the standard error of product tests increase. The variance inflation due to increases in a at some point outweighs the increase of the effect size (ab) and results in a loss of statistical power. This phenomenon also occurs with nonparametric bootstrapping approaches becaus… Show more

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Cited by 25 publications
(11 citation statements)
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References 44 publications
(80 reference statements)
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“…This is because in Equation 3, in which Y is regressed on M and X , collinearity between M and X is stronger in the first sample than in the second, resulting in a larger standard error for trueB^YM·X in the first sample. This suggests that, in general, for equivalent indirect effects and all else being held equal, larger trueB^YM·X coefficients have correspondingly larger effect sizes, which is consistent with previous research examining the behavior of different specifications for indirect effects (Beasley, 2014; Fritz & MacKinnon, 2007; Fritz, Taylor, & MacKinnon, 2012; Hoyle & Kenny, 1999).…”
Section: A Novel Effect Size Measure For Mediation Analysissupporting
confidence: 89%
“…This is because in Equation 3, in which Y is regressed on M and X , collinearity between M and X is stronger in the first sample than in the second, resulting in a larger standard error for trueB^YM·X in the first sample. This suggests that, in general, for equivalent indirect effects and all else being held equal, larger trueB^YM·X coefficients have correspondingly larger effect sizes, which is consistent with previous research examining the behavior of different specifications for indirect effects (Beasley, 2014; Fritz & MacKinnon, 2007; Fritz, Taylor, & MacKinnon, 2012; Hoyle & Kenny, 1999).…”
Section: A Novel Effect Size Measure For Mediation Analysissupporting
confidence: 89%
“…Increasingly, mediation studies in the field have utilized bootstrapping, which is a general approach to statistical inference based on random re-sampling from the observed data. In general, the traditional Baron and Kenny 14 regression-based mediation analyses has fairly limited power; bootstrapping has been widely recommended as it improves power, even in relatively small samples, and obviates concerns over violating normality assumptions 17;124 .…”
Section: Evaluating Psychosocial Contributions To Chronic Pain Outcomesmentioning
confidence: 99%
“…First, their study was cross-sectional in nature, which allows inferences only based on interindividual differences, whereas the current study employed a longitudinal design, which has the advantage of identifying intraindividual changes and their interrelationships (Schaie, 2005). Second, Datu and Mateo’s study used manifest variables that may be contaminated by measurement errors, and the Sobel (1982) test for examining the indirect effects, which tends to be underpowered because of potential violation of the normality assumption (e.g., Beasley, 2014; Hayes, 2009; Preacher & Hayes, 2008). The current study instead used structural equation modeling (SEM) with latent variables to account for measurement errors, and conducted the more powerful bootstrap test of mediation, which does not rely on distributional assumption.…”
Section: Presence Of Meaning In Life As a Mediatormentioning
confidence: 99%