曲线关系新分类框架、理论解读及其应用  

A New Classification Framework, Theoretical Interpretation and Application of Curvilinear Relationship

作　　者：李海[1] 朱金强[2] Hai LI;Jinqiang ZHU(Business School,Beijing Normal University,Beijing 100875;School of Management,Minzu University of China,Beijing 100081)

机构地区：[1]北京师范大学经济与工商管理学院,北京100875 [2]中央民族大学管理学院,北京100081

出　　处：《中国人力资源开发》2021年第11期26-40,共15页Human Resources Development of China

基　　金：国家自然科学基金项目(72101005);北京市社科重点基金项目(16GLA002)。

摘　　要：在众多研究领域,学者们广泛探究了变量之间的直线关系。但是最近一些研究表明,直线模型有时无法反映变量之间的真实关系,往往会误导管理实践。因此,学者们大力倡导探究变量间的曲线关系。本文在前人研究的基础上,将直线关系和曲线关系结合起来,基于数理统计原理,按照二次曲线的二次项系数和直线模型的回归系数的符号,将曲线关系分成四类。同时,根据它们在经济和管理实践中所体现出的特征,分别命名为渐入佳境、过犹不及、鲶鱼效应、久病成医。本文进一步从数据分析方法、理论内涵、应用示例、理论解释四个方面对上述四种类型的曲线关系进行了解读。最后,对四类曲线在后续研究中的应用进行了展望。In many fields of research,scholars have extensively explored the linear relationship between variables.But recent studies have shown that linear models sometimes fail to reflect the true relationship between variables and tend to mislead practice.Therefore,scholars strongly advocate to deeply explore curvilinear relationship.Based on the previous studies and the mathematical statistics principle,this paper combines the linear relationship and the curvilinear relationship and divides the curvilinear relationship into four categories according to the quadratic coefficient of the quadratic curve and the coefficient of the linear model.At the same time,according to their characteristics in economic and management practice,they are named as getting better,too much is as bad as too little,catfish effect,and prolonged illness makes the patient be a doctor.These curvilinear relationships are interpreted from four aspects:theoretical connotation,application examples,data analysis methods,and theoretical explanation.Finally,the application of these curvilinear relationship is outlooked.

关 键 词：曲线关系 渐入佳境 过犹不及 鲶鱼效应 久病成医 

分 类 号：F272.92[经济管理—企业管理]