Structural Equation Modeling with Small Samples: Test Statistics

1999 ◽  
Vol 34 (2) ◽  
pp. 181-197 ◽  
Author(s):  
Peter M. Bentler ◽  
Ke-Hai Yuan
Keyword(s):  
Structural Equation Modeling ◽  
Structural Equation ◽  
Small Samples ◽  
Equation Modeling ◽  
Test Statistics

scholarly journals Prior sensitivity analysis in default Bayesian structural equation modeling

2017 ◽  
Author(s):  
Sara van Erp ◽  
Joris Mulder ◽  
Daniel L. Oberski
Keyword(s):  
Sensitivity Analysis ◽  
Structural Equation Modeling ◽  
Structural Equation ◽  
Empirical Bayes ◽  
Mean Squared Error ◽  
Small Samples ◽  
Equation Modeling ◽  
Model Parameters ◽  
Ml Estimation ◽  
Bayesian Structural Equation Modeling

Bayesian structural equation modeling (BSEM) has recently gained popularity because it enables researchers to fit complex models while solving some of the issues often encountered in classical maximum likelihood (ML) estimation, such as nonconvergence and inadmissible solutions. An important component of any Bayesian analysis is the prior distribution of the unknown model parameters. Often, researchers rely on default priors, which are constructed in an automatic fashion without requiring substantive prior information. However, the prior can have a serious influence on the estimation of the model parameters, which affects the mean squared error (MSE), bias, coverage rates, and quantiles of the estimates.In this paper, we investigate the performance of three different default priors: noninformative improper priors, vague proper priors, and empirical Bayes priors, with the latter being novel in the BSEM literature. Based on a simulation study, we find that these three default BSEM methods may perform very differently, especially with small samples. A careful prior sensitivity analysis is therefore needed when performing a default BSEM analysis. For this purpose, we provide a practical step-by-step guide for practitioners to conducting a prior sensitivity analysis in default BSEM. Our recommendations are illustrated using a well-known case study from the structural equation modeling literature and all code for conducting the prior sensitivity analysis is made available in the online supplemental material.

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