An evaluation of non-iterative estimators in confirmatory factor analysis
- Author
- Sara Dhaene and Yves Rosseel (UGent)
- Organization
- Project
- Abstract
- In confirmatory factor analysis (CFA), model parameters are usually estimated by iteratively minimizing the Maximum Likelihood (ML) fit function. In optimal circumstances, the ML estimator yields the desirable statistical properties of asymptotic unbiasedness, efficiency, normality, and consistency. In practice, however, real-life data tend to be far from optimal, making the algorithm prone to convergence failure, inadmissible solutions, and bias. In this study, we revisited some old, yet largely neglected non-iterative alternatives and compared their performance to more recently proposed procedures in an extensive simulation study. We conclude that closed-form expressions may serve as viable alternatives for ML, with the Multiple Group Method - the oldest method under consideration - showing favorable results across all settings.
- Keywords
- General Economics, Econometrics and Finance, Sociology and Political Science, Modeling and Simulation, General Decision Sciences, Confirmatory factor analysis, maximum likelihood, non-iterative, estimation, STRUCTURAL EQUATION MODELS, MAXIMUM-LIKELIHOOD, INSTRUMENTAL VARIABLES, 2-STAGE APPROACH, R PACKAGE, ALGORITHMS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01H0522DAR69QFZ19TXACZDZ5C
- MLA
- Dhaene, Sara, and Yves Rosseel. “An Evaluation of Non-Iterative Estimators in Confirmatory Factor Analysis.” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, vol. 31, no. 1, 2024, pp. 1–13, doi:10.1080/10705511.2023.2187285.
- APA
- Dhaene, S., & Rosseel, Y. (2024). An evaluation of non-iterative estimators in confirmatory factor analysis. STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, 31(1), 1–13. https://doi.org/10.1080/10705511.2023.2187285
- Chicago author-date
- Dhaene, Sara, and Yves Rosseel. 2024. “An Evaluation of Non-Iterative Estimators in Confirmatory Factor Analysis.” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL 31 (1): 1–13. https://doi.org/10.1080/10705511.2023.2187285.
- Chicago author-date (all authors)
- Dhaene, Sara, and Yves Rosseel. 2024. “An Evaluation of Non-Iterative Estimators in Confirmatory Factor Analysis.” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL 31 (1): 1–13. doi:10.1080/10705511.2023.2187285.
- Vancouver
- 1.Dhaene S, Rosseel Y. An evaluation of non-iterative estimators in confirmatory factor analysis. STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL. 2024;31(1):1–13.
- IEEE
- [1]S. Dhaene and Y. Rosseel, “An evaluation of non-iterative estimators in confirmatory factor analysis,” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, vol. 31, no. 1, pp. 1–13, 2024.
@article{01H0522DAR69QFZ19TXACZDZ5C,
abstract = {{In confirmatory factor analysis (CFA), model parameters are usually estimated by iteratively minimizing the Maximum Likelihood (ML) fit function. In optimal circumstances, the ML estimator yields the desirable statistical properties of asymptotic unbiasedness, efficiency, normality, and consistency. In practice, however, real-life data tend to be far from optimal, making the algorithm prone to convergence failure, inadmissible solutions, and bias. In this study, we revisited some old, yet largely neglected non-iterative alternatives and compared their performance to more recently proposed procedures in an extensive simulation study. We conclude that closed-form expressions may serve as viable alternatives for ML, with the Multiple Group Method - the oldest method under consideration - showing favorable results across all settings.}},
author = {{Dhaene, Sara and Rosseel, Yves}},
issn = {{1070-5511}},
journal = {{STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL}},
keywords = {{General Economics, Econometrics and Finance,Sociology and Political Science,Modeling and Simulation,General Decision Sciences,Confirmatory factor analysis,maximum likelihood,non-iterative,estimation,STRUCTURAL EQUATION MODELS,MAXIMUM-LIKELIHOOD,INSTRUMENTAL VARIABLES,2-STAGE APPROACH,R PACKAGE,ALGORITHMS}},
language = {{eng}},
number = {{1}},
pages = {{1--13}},
title = {{An evaluation of non-iterative estimators in confirmatory factor analysis}},
url = {{http://doi.org/10.1080/10705511.2023.2187285}},
volume = {{31}},
year = {{2024}},
}
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