摘要
传统的有中介的调节(mediated moderation,meMO)模型关于误差方差齐性的假设经常被违背,应用研究中也缺乏测量meMO效应大小的指标。对于单层数据,本文借助于两层建模的思想,提出了一种可用于处理方差非齐性的两层有中介的调节(2meMO)模型;给出了用于测量meMO分析中总调节效应、直接调节效应和有中介调节效应大小的效应量。通过Monte Carlo模拟研究,比较了meMO和2meMO模型在参数和效应量估计上的表现。并通过实际案例解释了2meMO模型的应用以及效应量的计算和解释。
Mediation and moderation analyses are commonly used methods for studying the relationship between an independent variable(X) and a dependent variable(Y) in conducting empirical research. To better understand the relationships among variables, there is an increasing demand for a more general theoretical framework that combines moderation and mediation analyses. Recently, statistical analysis of mediated moderation(meMO) effects has become a powerful tool for scientists to investigate complex processes. However, the traditional meMO model is formulated based on the homoscedasticity assumption, which is most likely to be violated when moderation effects exist. In addition, routinely reporting effect sizes has been recommended as the primary solution to the issue of overemphasis on significance testing. Appropriate effect sizes(ES) for measuring meMO effects are very important in reporting and interpreting inferential results. However, there does not exist an effective measure that allows us to answer the question regarding the extent to which a variable Z moderates the effect of X on Y via the mediator variable(M) in the meMO model. The article is organized as follows. First, the two-level moderated regression model proposed by Yuan, Cheng, & Maxwell(2014) was extended to a two-level mediated moderation(2 meMO) model with single-level data, the statistical path diagram was structured according to the conceptual model and the equations. Second, several effect sizes were developed for the 2 meMO effect by decomposing the total variance of the moderation effect. Third, to estimate the parameters of the 2 meMO model and the ES measures of the meMO effects, we developed a Bayesian estimation method to estimate the parameters of the 2 meMO model. Fourth, a Monte Carlo simulation study was conducted to evaluate the performance of the 2 meMO model and the proposed ES measures against those with the meMO model. Finally, we illustrate the application of the new model and measures with a real data example. The simulation resul
作者
刘红云
袁克海
甘凯宇
LIU Hongyun;YUAN Ke-Hai;GAN Kaiyu(Faculty of Psychology,Beijing Normal University,Beijing 100875,China;Beijing Key Laboratory of Applied Experimental Psychology,Faculty of Psychology,Beijing Normal University,Beijing 100875,China;School of Science of Nanjing University of Posts and Telecommunications,Nanjing,210023,China;Department of Psychology,University of Notre Dame,IN 46556,USA)
出处
《心理学报》
CSSCI
CSCD
北大核心
2021年第3期322-336,I0001,I0002,共17页
Acta Psychologica Sinica
基金
国家自然科学基金项目(31971029,32071091)资助。
关键词
有中介的调节
方差齐性
效应量
贝叶斯估计
mediated moderation
heteroscedasticity
effect size
Bayesian estimation
