Hypothesis testing using factor score regression : a comparison of four methods
- Author
- Ines Devlieger (UGent) , Axel Mayer (UGent) and Yves Rosseel (UGent)
- Organization
- Abstract
- In this article, an overview is given of four methods to perform factor score regression (FSR), namely regression FSR, Bartlett FSR, the bias avoiding method of Skrondal and Laake, and the bias correcting method of Croon. The bias correcting method is extended to include a reliable standard error. The four methods are compared with each other and with structural equation modeling (SEM) by using analytic calculations and two Monte Carlo simulation studies to examine their finite sample characteristics. Several performance criteria are used, such as the bias using the unstandardized and standardized parameterization, efficiency, mean square error, standard error bias, type I error rate, and power. The results show that the bias correcting method, with the newly developed standard error, is the only suitable alternative for SEM. While it has a higher standard error bias than SEM, it has a comparable bias, efficiency, mean square error, power, and type I error rate.
- Keywords
- factor score regression, bias, standard error, standardized parameterization, unstan- dardized parameterization
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8506764
- MLA
- Devlieger, Ines, et al. “Hypothesis Testing Using Factor Score Regression : A Comparison of Four Methods.” EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, edited by George A Marcoulides, vol. 76, no. 5, SAGE Publications, 2016, pp. 741–70, doi:10.1177/0013164415607618.
- APA
- Devlieger, I., Mayer, A., & Rosseel, Y. (2016). Hypothesis testing using factor score regression : a comparison of four methods. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 76(5), 741–770. https://doi.org/10.1177/0013164415607618
- Chicago author-date
- Devlieger, Ines, Axel Mayer, and Yves Rosseel. 2016. “Hypothesis Testing Using Factor Score Regression : A Comparison of Four Methods.” Edited by George A Marcoulides. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT 76 (5): 741–70. https://doi.org/10.1177/0013164415607618.
- Chicago author-date (all authors)
- Devlieger, Ines, Axel Mayer, and Yves Rosseel. 2016. “Hypothesis Testing Using Factor Score Regression : A Comparison of Four Methods.” Ed by. George A Marcoulides. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT 76 (5): 741–770. doi:10.1177/0013164415607618.
- Vancouver
- 1.Devlieger I, Mayer A, Rosseel Y. Hypothesis testing using factor score regression : a comparison of four methods. Marcoulides GA, editor. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT. 2016;76(5):741–70.
- IEEE
- [1]I. Devlieger, A. Mayer, and Y. Rosseel, “Hypothesis testing using factor score regression : a comparison of four methods,” EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, vol. 76, no. 5, pp. 741–770, 2016.
@article{8506764,
abstract = {{In this article, an overview is given of four methods to perform factor score regression (FSR), namely regression FSR, Bartlett FSR, the bias avoiding method of Skrondal and Laake, and the bias correcting method of Croon. The bias correcting method is extended to include a reliable standard error. The four methods are compared with each other and with structural equation modeling (SEM) by using analytic calculations and two Monte Carlo simulation studies to examine their finite sample characteristics. Several performance criteria are used, such as the bias using the unstandardized and standardized parameterization, efficiency, mean square error, standard error bias, type I error rate, and power. The results show that the bias correcting method, with the newly developed standard error, is the only suitable alternative for SEM. While it has a higher standard error bias than SEM, it has a comparable bias, efficiency, mean square error, power, and type I error rate.}},
author = {{Devlieger, Ines and Mayer, Axel and Rosseel, Yves}},
editor = {{Marcoulides, George A}},
issn = {{0013-1644}},
journal = {{EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT}},
keywords = {{factor score regression,bias,standard error,standardized parameterization,unstan- dardized parameterization}},
language = {{eng}},
number = {{5}},
pages = {{741--770}},
publisher = {{SAGE Publications}},
title = {{Hypothesis testing using factor score regression : a comparison of four methods}},
url = {{http://doi.org/10.1177/0013164415607618}},
volume = {{76}},
year = {{2016}},
}
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