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Moderated mediation : ウィキペディア英語版
Moderated mediation
In statistics, moderation and mediation can occur together in the same model.〔Muller, D., Judd, C. M., & Yzerbyt, V. Y. (2005). When moderation is mediated and mediation is moderated. ''Journal of Personality and Social Psychology, 89'', 852–863.〕 Moderated mediation, also known as conditional indirect effects,〔Preacher, K. J., Rucker, D. D., & Hayes, A. F. (2007) Addressing moderated mediation hypotheses: Theory, Methods, and Prescriptions. ''Multivariate Behavioral Research, 42,'' 185–227.〕 occurs when the treatment effect of an independent variable A on an outcome variable C via a mediator variable B differs depending on levels of a moderator variable D. Specifically, either the effect of A on the B, and/or the effect of B on C depends on the level of D.
==Langfred (2004) model==
Langfred (2004) was the first to provide a comprehensive treatment of the question of HOW to conceptualize moderated mediation, classify different types of moderated mediation models, and to develop the logic and methodology for the statistical analysis of such models using multiple regression.〔Langfred, C. W. 2004. Too much of a good thing? The negative effects of high trust and autonomy in self managing teams. Academy of Management Journal, 47: 385–399.〕
Because there was no established procedure to analyze models with moderated mediation, Langfred (2004) first describes the different types of moderated mediation models that might exist, noting that there are two primary forms of moderated mediation. Type 1, in which the moderator operates on the relationship between the independent variable and the mediator, and Type 2, in which the moderator operates on the relationship between the mediator and the dependent variable. Langfred reviews the existing perspectives on moderated mediation (James and Brett, 1984),〔James, L. R., & Brett, J. M. 1984. Mediators, moderators, and tests for mediation. Journal of Applied Psychology, 69: 307–321.〕 and notes that an accepted statistical approach already exists for Type 1 moderated mediation, as demonstrated by Korsgaard, Brodt & Whitener (2002).〔Korsgaard, M. A., Brodt, S. E., & Whitener, E. M. 2002. Trust in the face of conflict: The role of managerial trustworthy behavior and organizational context. Journal of Applied Psychology, 87: 312–319.〕 Type 2 moderation, however, is more statistically difficult, so Langfred reviews three different possible approaches for the analysis, and ultimately recommends one of them as the correct technique.
Langfred (2004) is often overlooked because the academic paper itself is not about statistical methodology. Rather, because the model in the paper involved moderated mediation, a very large appendix was included, in which the definitions and procedures for the regression analysis was developed.

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