二阶潜增长模型标度方法及其可比的一阶潜增长模型  

Scaling methods of second-order latent growth models and their comparable first-order latent growth models

作　　者：温忠麟[1] 王一帆 杜铭诗 俞雅慧 张愉蕙 金童林 WEN Zhonglin;WANG Yifan;DU Mingshi;YU Yahui;ZHANG Yuhui;JIN Tonglin(Center for Studies of Psychological Application&School of Psychology,South China Normal University,Guangzhou 510631,China;College of Psychology,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]华南师范大学心理应用研究中心/心理学院,广州510631 [2]内蒙古师范大学心理学院,呼和浩特010022

出　　处：《心理学报》2023年第8期1372-1382,共11页Acta Psychologica Sinica

基　　金：国家自然科学基金项目(32171091);教育部人文社会科学重点研究基地重大项目(22JJD190006)资助。

摘　　要：潜增长模型(LGM)是分析纵向数据的一种强有力工具,在心理学和其他社会科学研究领域受到重视。多指标测量的变量,既可以用合成分数建立单变量LGM(一阶LGM),也可以用指标建立潜变量LGM(二阶LGM)。简述了二阶LGM标度方法(包括尺度指标法和效应编码),提出了有可操作性的潜变量标准化标度方法和合成分数的一阶LGM标准化模型。系统总结了二阶LGM标度方法及其可比的一阶LGM建模,并用多指标变量的实测数据进行示例。推荐使用效应编码法对二阶LGM进行标度和标准化。Latent growth models(LGMs)are a powerful tool for analyzing longitudinal data,and have attracted the attention of scholars in psychology and other social science disciplines.For a latent variable measured by multiple indicators,we can establish both a univariate LGM(also called first-order LGM)based on composite scores and a latent variable LGM(also called second-order LGM)based on indicators.The two model types are special cases of the first-order and second-order factor models respectively.In either case,we need to scale the factors,that is,to specify their origin and unit.Under the condition of strong measurement invariance across time,the estimation of growth parameters in second-order LGMs depends on the scaling method of factors/latent variables.There are three scaling methods:the scaled-indicator method(also called the marker-variable identification method),the effect-coding method(also called the effect-coding identification method),and the latent-standardization method.The existing latent-standardization method depends on the reliability of the scaled-indicator or the composite scores at the first time point.In this paper,we propose an operable latent-standardization method with two steps.In the first step,a CFA with strong measurement invariance is conducted by fixing the mean and variance of the latent variable at the first time point to 0 and 1 respectively.In the second step,estimated loadings in the first step are employed to establish the second-order LGM.If the standardization is based on the scaled-indicator method,the loading of the scaled-indicator is fixed to that obtained in the first step,and the intercept of the scaled-indicator is fixed to the sample mean of the scaled-indicator at the first time point.If the standardization is based on the effect-coding method,the sum of loadings is constrained to the sum of loadings obtained in the first step,and the sum of intercepts is constrained to the sum of the sample mean of all indicators at the first time point. We also propose a first-order LGM

关 键 词：潜增长模型 合成分数 标度方法 尺度指标 效应编码 潜变量标准化 

分 类 号：B841[哲学宗教—基础心理学]