Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis

Volume: 6 Number: 2 January 2, 2016
EN

Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis

Abstract

In confirmatory factor analysis (CFA), which is used quite often for scale development and adaptation studies, the selected estimation method, affects the results obtained from the data. Because of the selected estimation method, the model parameters and their standard errors, and the model data fit values may alter the results substantially. So that, the purpose of this research is to compare the performance of different estimation methods for CFA. Maximum likelihood (ML), unweighted least squares (ULS) and diagonally weighted least squares (DWLS) are used in this research as estimation methods. These methods are applied in data sets and regression coefficients and their standard errors, t values, fit indexes and iteration numbers obtained from these estimation methods are examined. As a result, ULS method can converge with the minimum number iterations and it seems to be the more accurate method for estimating the parameters.

Key Words: Confirmatıry factor analysis, weighted least square, unweighted least square, diagonally weighted least square 

 

References

  1. Babakus, E. (1985). The sensitivity of maximum likelihood factor analysis given violations of interval scale and multivariate normality (Doctoral dissertation, The University of Alabama).
  2. Babakus, E., Ferguson, C. E., & Joreskog, K. G. (1987). The sensitivity of confirmatory maximum likelihood factor analysis to violations of measurement scale and distributional assumptions. Journal of Marketing Research, 37, 72-141.
  3. Bandalos, D. L. (2014). Relative performance of categorical diagonally weighted least squares and robust maximum likelihood estimation. Structural Equation Modeling: A Multidisciplinary Journal, 21, 102 – 116.
  4. Beauducel, A., & Herzberg, P. Y. (2006). On the performance of maximum likelihood versus means and variance adjusted weighted least squares estimation in CFA. Structural Equation Modeling, 13, 186 – 203.
  5. Bollen, K. A. (1989). Structural equations with latent variables. New York, NY: John Wiley & Sons.
  6. Brown, T. A. (2006). Confirmatory factor analysis for applied research. New York, N. J.: Guiford Press.
  7. Byrne, B. M. (1998). Structural Equation Modeling with LISREL, PRELIS, and SIMPLIS: Basic concepts, applications, and programming.
  8. Lawrence Erlbaum Associates, Mahwah, N. J.

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

January 2, 2016

Submission Date

October 27, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 6 Number: 2

APA
Koğar, H., & Yılmaz Koğar, E. (2016). Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis. Journal of Measurement and Evaluation in Education and Psychology, 6(2). https://doi.org/10.21031/epod.94857
AMA
1.Koğar H, Yılmaz Koğar E. Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis. JMEEP. 2016;6(2). doi:10.21031/epod.94857
Chicago
Koğar, Hakan, and Esin Yılmaz Koğar. 2016. “Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis”. Journal of Measurement and Evaluation in Education and Psychology 6 (2). https://doi.org/10.21031/epod.94857.
EndNote
Koğar H, Yılmaz Koğar E (January 1, 2016) Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis. Journal of Measurement and Evaluation in Education and Psychology 6 2
IEEE
[1]H. Koğar and E. Yılmaz Koğar, “Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis”, JMEEP, vol. 6, no. 2, Jan. 2016, doi: 10.21031/epod.94857.
ISNAD
Koğar, Hakan - Yılmaz Koğar, Esin. “Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis”. Journal of Measurement and Evaluation in Education and Psychology 6/2 (January 1, 2016). https://doi.org/10.21031/epod.94857.
JAMA
1.Koğar H, Yılmaz Koğar E. Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis. JMEEP. 2016;6. doi:10.21031/epod.94857.
MLA
Koğar, Hakan, and Esin Yılmaz Koğar. “Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis”. Journal of Measurement and Evaluation in Education and Psychology, vol. 6, no. 2, Jan. 2016, doi:10.21031/epod.94857.
Vancouver
1.Hakan Koğar, Esin Yılmaz Koğar. Comparison of Different Estimation Methods for Categorical and Ordinal Data in Confirmatory Factor Analysis. JMEEP. 2016 Jan. 1;6(2). doi:10.21031/epod.94857

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