Adjusting Structural Equation Modelling Of Spiritual Coping Scale: Use Of The Sattora-Bentler Method As An Alternative To Maximum Likelihood Estimation

10.5580/2ba1 ◽  
2012 ◽  
Vol 10 (2) ◽  
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Structural Equation Modelling ◽  
Structural Equation ◽  
Likelihood Estimation ◽  
Spiritual Coping ◽  
Equation Modelling ◽  
Coping Scale

Maximum Likelihood Estimation of Nonlinear Structural Equation Models with Ignorable Missing Data

2003 ◽  
Vol 28 (2) ◽  
pp. 111-134 ◽  
Author(s):  
Sik-Yum Lee ◽  
Xin-Yuan Song ◽  
John C. K. Lee
Keyword(s):  
Missing Data ◽  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Latent Variables ◽  
Structural Equation ◽  
Likelihood Estimation ◽  
Maximum Likelihood Estimates ◽  
Equation Modeling ◽  
Nonlinear Structural ◽  
Nonlinear Structural Equation

The existing maximum likelihood theory and its computer software in structural equation modeling are established on the basis of linear relationships among latent variables with fully observed data. However, in social and behavioral sciences, nonlinear relationships among the latent variables are important for establishing more meaningful models and it is very common to encounter missing data. In this article, an EM type algorithm is developed for maximum likelihood estimation of a general nonlinear structural equation model with ignorable missing data, which are missing at random with an ignorable mechanism. To avoid computation of the complicated multiple integrals involved in the conditional expectations, the E-step is completed by a hybrid algorithm that combines the Gibbs sampler and the Metropolis-Hastings algorithm; while the M-step is completed efficiently by conditional maximization. Standard errors of the maximum likelihood estimates are obtained via Louis’s formula. The methodology is illustrated with results obtained from a simulation study and a real data set with rather complicated missing patterns and a large number of missing entries.

Sign in / Sign up

Export Citation Format

Share Document