A0160
Title: Simple procedure to estimate a structural equation model with latent variables
Authors: Zouhair El Hadri - Mohammed V University (Morocco) [presenting]
Abstract: Structural equation modelling is a sophisticated approach used to analyse complex models with both observed variables, called manifest variables or indicators, and unobserved variables, called latent variables, factors, components or constructs. The aim is to introduce a simple procedure to estimate the parameters associated with structural equation models. The proposed procedure is the extension of the procedure introduced recently for path analysis models (models without latent variables). First, we show that the covariance matrix implied by the model is affine with respect to each parameter. Second, we use this affinity property to build an iterative procedure to estimate the parameters. Third, we provide proof of the monotony convergence of the function minimized in the said procedure. Finally, we provide illustrative real data and numerical simulations.
