中介變項統計分析

Statistical Mediation Analysis

陳昱均(Yu-Chun Chen)

指導教授 ： 陳鄰安

國立交通大學/理學院/統計學研究所/碩士(2014年)

https://doi.org/10.6842/NCTU.2014.00187

摘要

我們觀察到,傳統中介變項的分析中的直接影響力和中介質有關,而我們認為的直接影響力是不經由中介質所產生 的。而後,我們提出了一個新的中介變相分析,此分析中的影響力可分解出直接影響與間接影響,其中新的直接影響是 不透過中介值的。我們新的假設檢定力相較於傳統 Baron 和 Kenny 的假設檢定力是有明顯改善。最後我們將中介變項的 分析和交互作用做聯結。

關鍵字

中介變項 ； 中介值 ； 分解效應 ； 交互作用

並列摘要

We observe that the classical mediation analysis gives the direct effect involving the inputs of mediated variable leading that the direct effect and indirect effect do not serve their roles appropriately. We then
propose a new mediation analysis with interaction identification for determining a clean direct effect for defining the total effect and then the effect decomposition. Power comparison between the Baron and Kenny’ s test and a new test based on our approach for indirect effect detection has been done and their corresponding efficiencies for detection are displayed. A new indirect effect proportion then is proposed for further investigation.

並列關鍵字

Mediation ； Mediator ； Effect Decomposition ； Interaction

參考文獻

Aroian L. A. (1944). The probability function of the product of two normally distributed variables. Annals of Mathematical Statistics. 18, 265-271.

Baron R.M. and Kenny D.A. (1986). The moderator-mediator variable distinc- tion in social psychological research: conceptual, strategic, and statistical considerations. J Pers Soc Psychol. 51, 1173-1182.

Fairchild, A. J. and MacKinnon, D. P. (2009). A General Model for Testing Mediation and Moderation Effects. Prevention Science, 10, 87-99.

Geneletti, S. (2007). Identifying direct and indirect effects in a non-counterfactural framework. JRSS B, 69,199-215.

Goodman, L. A. (1960). On the exact variance of products. Journal of the American Statistical Association, 55, 708-713.