A Note on Estimating the Joreskog-Yang Model for Latent Variable Interaction Using LISREL 8.3
A Note on Estimating the Joreskog-Yang Model for Latent Variable Interaction Using LISREL 8.3
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DOI：
10.1207/s15328007sem0801_3
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发表时间：
2001-01-01
影响因子：
6
通讯作者：
Moulder, Bradley C.
中科院分区：
文献类型：
--
作者：
Algina, James;Moulder, Bradley C.
Kenny和Judd（1984）为观察变量建立了一个以其总体均值为中心的潜变量交互作用模型。他们通过使用协方差矩阵来估计模型，该协方差矩阵是从以样本均值为中心的变量和这些变量的乘积中计算出来的。随后，Joreskog和Yang（1996）确定了需要包括测量和结构方程的截距，并通过使用从非中心观测变量和这些变量的乘积计算的协方差矩阵以及观测变量的均值和非中心变量的乘积来估计模型。有证据表明，Joreskog-Yang估计肯尼-贾德相互作用模型的过程是受到严重的收敛问题时，在LISTOP8.3和手段的潜在外生变量的指标是非零的。另一种方法，解决了收敛问题，并提供一致的参数估计。
Kenny and Judd (1984) developed a latent variable interaction model for observed variables centered around their population means. They estimated the model by using a covariance matrix calculated from sample-mean-centered variables and products of these variables. Subsequently, Joreskog and Yang (1996) identified the need to include intercepts for the measurement and structural equations and estimated the model by using a covariance matrix calculated from noncentered observed variables and products of these variables, and means of the observed variables and the products of noncentered variables. Evidence is presented that the Joreskog-Yang procedure for estimating the Kenny-Judd interaction model is subject to severe convergence problems when implemented in LISREL8.3 and means for the indicators of the latent exogenous variables are nonzero. An alternative procedure is presented that solves the convergence problem and provides consistent estimators of the parameters.