线性关系的“U”型调节效应与“U”型关系的线性调节效应研究  

Study on U-shaped Moderation of Linear Effects and Linear Moderation of U-shaped Effects

作　　者：曹伟[1] 柏淑嫄 Cao Wei;Bai Shuyuan(School of Business,Nanjing University,Nanjing 210093,China)

机构地区：[1]南京大学商学院,南京210093

出　　处：《统计与决策》2025年第4期46-50,共5页Statistics & Decision

基　　金：江苏省研究生科研与实践创新计划项目(KYCX24_0031)。

摘　　要：文章以“U”型关系为基础,从数理逻辑和推导逻辑两个方面探讨了两种调节效应:线性关系的“U”型调节效应(UMLE)和“U”型关系的线性调节效应(LMUE)。在数理逻辑方面,结合导数(瞬时斜率)的思想,阐述了UMLE和LMUE成立的条件;在推导逻辑方面,借鉴已有研究并利用文献分析法,提出了改变主效应的关系强度和关系方向两种分析框架的UMLE和LMUE推导逻辑。在归纳总结2013—2022年AMJ期刊“U”型关系研究文献的基础上,总结出两段式、三点式、结合式三种分析框架下的“U”型关系推导逻辑。On the basis of U-shaped relationship,this paper discusses two moderating effects from the mathematical logic and the deductive logic:the U-shaped moderation of linear effects(UMLE),and the linear moderation of U-shaped effects(LMUE).In the aspect of mathematical logic,the concept of derivatives(the instantaneous slope)is combined to elucidate the conditions of the establishment of UMLE and LMUE.In terms of derivation logic,the UMLE and LMUE derivation logic,which change the relationship strength and direction of the main effect,is proposed by referring to the existing research and using literature analysis.On the basis of summarizing the research literature of U-shaped relationship in AMJ journal from 2013 to 2022,the paper summarizes the derivation logic of U-shaped relationship under three analytical frameworks:two-stage analysis,three-point analysis and combined analysis.

关 键 词：“U”型关系 调节效应 数理逻辑 推导逻辑 

分 类 号：O212[理学—概率论与数理统计]