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Monotonicity of effect sizes: Questioning kappa-squared as mediation effect size measure
Wen Z.; Fan X.
2015
Source PublicationPsychological Methods
ISSN1082989X
Volume20Issue:2Pages:193
Abstract

Mediation analysis is important for research in psychology and other social and behavioral sciences. Great progress has been made in testing mediation effects and in constructing their confidence intervals. Mediation effect sizes have also been considered. Preacher and Kelley (2011) proposed and recommended k2 as an effect size measure for a mediation effect. In this article, we argue that k2 is not an appropriate effect size measure for mediation models, because of its lack of the property of rank preservation (e.g., the magnitude of k2 may decrease when the mediation effect that k2 represents increases). Furthermore, k2 can lead to paradoxical results in multiple mediation models. We show that the problem of k2 is due to (a) the improper calculation of the maximum possible value of the indirect effect, and (b) mathematically, the maximum possible indirect effect is infinity, implying that the definition of k2 is mathematically incorrect. At this time, it appears that the traditional mediation effect size measure PM (the ratio of the indirect effect to the total effect), together with some other statistical information, should be preferred for basic mediation models. But for inconsistent mediation models where the indirect effect and the direct effect have opposite signs, the situation is less clear. Other considerations and suggestions for future research are also discussed. © 2014 American Psychological Association.

KeywordEffect Size Index K2 Indirect Effect Mediation Multiple Mediation Model
DOI10.1037/met0000029
URLView the original
Language英語English
WOS IDWOS:000354320300003
The Source to ArticleScopus
Scopus ID2-s2.0-84929508543
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Document TypeJournal article
CollectionUniversity of Macau
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GB/T 7714
Wen Z.,Fan X.. Monotonicity of effect sizes: Questioning kappa-squared as mediation effect size measure[J]. Psychological Methods, 2015, 20(2), 193.
APA Wen Z.., & Fan X. (2015). Monotonicity of effect sizes: Questioning kappa-squared as mediation effect size measure. Psychological Methods, 20(2), 193.
MLA Wen Z.,et al."Monotonicity of effect sizes: Questioning kappa-squared as mediation effect size measure".Psychological Methods 20.2(2015):193.
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