Multilevel Analysis of Structural Equation Models
研究了非平衡抽样设计下结构方程模型的多层分析，基于最大似然和广义最小二乘方法，推导了估计量的渐近分布和模型拟合检验统计量，并讨论了计算算法。
This paper considers the multilevel analysis of structural equation models with unbal anced sampling designs. The analysis is based on the maximum likelihood and the generalized least squares approaches. Basic statistical results for inference such as the asymptotic distribution of the estimators, goodness-of-fit test statistics for the validity of the model and functional constraints are developed. Computationally, the applications of the scoring algorithm and the Gauss-Newton algorithm are discussed.