Asymptotic Relative Efficiency Comparison for some Fit Indices in Structural Equation Modeling

İlkay Doğan; İsmet Doğan; Nurhan Dogan

doi:10.17776/csj.1328880

EN

Asymptotic Relative Efficiency Comparison for some Fit Indices in Structural Equation Modeling

Abstract

There are many fit statistics used in the structural equation modeling, and new ones are consistently being developed. Because of the variety of fit statistics, it is very important to be able to decide which fit statistics are appropriate to use in studies. When comparing any two statistics, the asymptotic relative efficiency (ARE) between them is used. The ARE can use as a power of the fit indices is one of the familiar optimal criteria. It is frequently more convenient, and also more suggestive, to use a measure of relative merit called the relative efficiency. This study aimed to compare of fit indices using Fraser’s asymptotic relative efficiency. The data sets were derived from the multivariate normal distribution using the mean vector and covariance matrix. It was determined that the most efficient fit indices in terms of asymptotic relative efficiency were Z-Test of Wilson & Hilferty (W&H), Root Mean Square Error of Approximation (RMSEA), and Chi-Square indices, respectively.

Keywords

References

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Details

Primary Language

English

Subjects

Biostatistics

Journal Section

Research Article

Authors

İlkay Doğan ^*
0000-0001-7552-6478
Türkiye

İsmet Doğan
0000-0001-9251-3564
Türkiye

Nurhan Dogan
0000-0001-7224-6091
Türkiye

Publication Date

March 28, 2024

Submission Date

July 18, 2023

Acceptance Date

March 12, 2024

Published in Issue

Year 2024 Volume: 45 Number: 1

DOI

https://doi.org/10.17776/csj.1328880

IZ

https://izlik.org/JA97RF93XB

Cite

RIS / Bibtex

APA

Doğan, İ., Doğan, İ., & Dogan, N. (2024). Asymptotic Relative Efficiency Comparison for some Fit Indices in Structural Equation Modeling. Cumhuriyet Science Journal, 45(1), 164-167. https://doi.org/10.17776/csj.1328880

Asymptotic Relative Efficiency Comparison for some Fit Indices in Structural Equation Modeling

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite