统计与决策2025，Vol.41Issue(4)：46-50,5.DOI:10.13546/j.cnki.tjyjc.2025.04.008
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
摘要
Abstract
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(LM-UE).In the aspect of mathematical logic,the concept of derivatives(the instantaneous slope)is combined to elucidate the condi-tions 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 anal-ysis.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 anal-ysis and combined analysis.关键词
"U"型关系/调节效应/数理逻辑/推导逻辑Key words
U-shaped relationship/moderation effect/mathematical logic/deductive logic分类
数理科学引用本文复制引用
曹伟,柏淑嫄..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[J].统计与决策,2025,41(4):46-50,5.基金项目
江苏省研究生科研与实践创新计划项目(KYCX24_0031) （KYCX24_0031）
