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New developments in factor score regression : fit indices and a model comparison test

Ines Devlieger (UGent) , Wouter Talloen (UGent) and Yves Rosseel (UGent)
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Abstract
Factor score regression (FSR) is a popular alternative for structural equation modeling. Naively applying FSR induces bias for the estimators of the regression coefficients. Croon proposed a method to correct for this bias. Next to estimating effects without bias, interest often lies in inference of regression coefficients or in the fit of the model. In this article, we propose fit indices for FSR that can be used to inspect the model fit. We also introduce a model comparison test based on one of these newly proposed fit indices that can be used for inference of the estimators on the regression coefficients. In a simulation study we compare FSR with Croon's corrections and structural equation modeling in terms of bias of the regression coefficients, Type I error rate and power.
Keywords
Applied Psychology, Applied Mathematics, Education, Developmental and Educational Psychology, factor score regression, FSR, Croon method, fit indices, model comparison, STRUCTURAL EQUATION MODELS, STATISTICS

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MLA
Devlieger, Ines, et al. “New Developments in Factor Score Regression : Fit Indices and a Model Comparison Test.” EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, vol. 79, no. 6, 2019, pp. 1017–37.
APA
Devlieger, I., Talloen, W., & Rosseel, Y. (2019). New developments in factor score regression : fit indices and a model comparison test. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 79(6), 1017–1037.
Chicago author-date
Devlieger, Ines, Wouter Talloen, and Yves Rosseel. 2019. “New Developments in Factor Score Regression : Fit Indices and a Model Comparison Test.” EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT 79 (6): 1017–37.
Chicago author-date (all authors)
Devlieger, Ines, Wouter Talloen, and Yves Rosseel. 2019. “New Developments in Factor Score Regression : Fit Indices and a Model Comparison Test.” EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT 79 (6): 1017–1037.
Vancouver
1.
Devlieger I, Talloen W, Rosseel Y. New developments in factor score regression : fit indices and a model comparison test. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT. 2019;79(6):1017–37.
IEEE
[1]
I. Devlieger, W. Talloen, and Y. Rosseel, “New developments in factor score regression : fit indices and a model comparison test,” EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, vol. 79, no. 6, pp. 1017–1037, 2019.
@article{8614650,
  abstract     = {Factor score regression (FSR) is a popular alternative for structural equation modeling. Naively applying FSR induces bias for the estimators of the regression coefficients. Croon proposed a method to correct for this bias. Next to estimating effects without bias, interest often lies in inference of regression coefficients or in the fit of the model. In this article, we propose fit indices for FSR that can be used to inspect the model fit. We also introduce a model comparison test based on one of these newly proposed fit indices that can be used for inference of the estimators on the regression coefficients. In a simulation study we compare FSR with Croon's corrections and structural equation modeling in terms of bias of the regression coefficients, Type I error rate and power.},
  author       = {Devlieger, Ines and Talloen, Wouter and Rosseel, Yves},
  issn         = {0013-1644},
  journal      = {EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT},
  keywords     = {Applied Psychology,Applied Mathematics,Education,Developmental and Educational Psychology,factor score regression,FSR,Croon method,fit indices,model comparison,STRUCTURAL EQUATION MODELS,STATISTICS},
  language     = {eng},
  number       = {6},
  pages        = {1017--1037},
  title        = {New developments in factor score regression : fit indices and a model comparison test},
  url          = {http://dx.doi.org/10.1177/0013164419844552},
  volume       = {79},
  year         = {2019},
}

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