LINEAR STRUCTURAL EQUATIONS WITH LATENT-VARIABLES
LINEAR STRUCTURAL EQUATIONS WITH LATENT-VARIABLES
复制标题
DOI：
10.1007/bf02293905
复制
发表时间：
1980-01-01
期刊：
影响因子：
3
通讯作者：
WEEKS, DG
中科院分区：
文献类型：
--
作者：
BENTLER, PM;WEEKS, DG
建立了一个基于显性、可测变量以及不可测和不可测潜变量的相互依赖的多元线性关系模型。潜变量包括任何顺序的主要或剩余公因子以及独特因子。该模型具有比以前的模型更简单的参数结构，但它的目的是通过其结构方程，均值结构，协方差结构和参数约束，以适应更广泛的应用。模型的参数可以通过梯度法和拟牛顿法，或获得最小二乘、广义最小二乘或最大似然估计的高斯-牛顿算法来估计。提供了大样本标准误差和拟合优度检验。该方法是说明了测试理论模型和智力的纵向研究。
An interdependent multivariate linear relations model based on manifest, measured variables as well as unmeasured and unmeasurable latent variables is developed. The latent variables include primary or residual common factors of any order as well as unique factors. The model has a simpler parametric structure than previous models, but it is designed to accommodate a wider range of applications via its structural equations, mean structure, covariance structure, and constraints on parameters. The parameters of the model may be estimated by gradient and quasi-Newton methods, or a Gauss-Newton algorithm that obtains least-squares, generalized least-squares, or maximum likelihood estimates. Large sample standard errors and goodness of fit tests are provided. The approach is illustrated by a test theory model and a longitudinal study of intelligence.