有调节的中介潜变量的循环效应模型  

The Potential Variable's Circular Effect Model with Moderated Mediator

作　　者：胡俊航[1] 童恒庆[2] HU Jun-hang TONG Heng-qing(Department of Economy and Management, Henan Quality Polytechnic, Pingdingshan 467001, China School of Sciences, Wuhan University of Technology, Wuhan 430070, China)

机构地区：[1]河南质量工程职业学院经济与管理系,河南平顶山467001 [2]武汉理工大学理学院,湖北武汉43007

出　　处：《数学的实践与认识》2016年第22期224-235,共12页Mathematics in Practice and Theory

基　　金：国家自然科学基金(81271513;91324201)

摘　　要：从解决大学生网络成瘾和抑郁相互影响关系的研究出发,构建了有调节的中介潜变量的循环效应模型.为对模型变量进行效应大小的分析和比较,推导出模型参数的标准化估计.运用我们提出的基于配方约束的潜变量回归的确定性线性算法来计算潜变量的值,避免了交互潜变量计算时观测变量的配对问题.对模型参数的OLS估计可能不具有一致性和无偏性进行了证明,并给出了解决问题的相应算法.总结出模型的算法步骤和变量的效应检验步骤.最后进行了数值模拟,验证了模型的合理性.The potential variable＇s circular effect model with moderated mediator is built to study the interactional correlation between college students＇ depression and internet addiction.In order to analyse and compare the effect size of the variables in model,the standardized estimation of parameters is deduced.The potential variables are calculated by using the definite linear algorithm for potential regression based on prescription condition that we propose.It avoids partnerring the observation variables to calculate the interactive potential variables.That the ordinary least squares estimation of the parameters in the model are unbiasedness and uniformity are proved,and the relevant algorithm is gived to solve this problems.The algorithmic steps of the model and the test procedure of the effect of variables are summarized.Finally,the numerical simulation is carried out to verify the rationality of the model.

关 键 词：调节变量 中介变量 循环效应 

分 类 号：F49[经济管理—产业经济] F224