Abstract
In conducting a cross-cultural study with a quantitative method, the researchers need to effectively address the cultural and linguistic influence on the operation of the instrument (or scale) across population groups. Measurement invariance (MI) provides valuable information to this concern and is the key to many psychological and developmental research studies. It is tested by evaluating how well the specified model fits the observed data. Researchers had developed effective fit indices to evaluate MI. Most scholars utilized the chi-square test with some alternative fit indices (such as root mean square error of approximation (RMSEA), standardized root-mean-square residual (SRMR), comparative fit index (CFI), and others) to report MI. Researchers argue about the sensitivity of these fit indices, and whether these fit indices accurately reflect the MI level. The current study followed Khojasteh and Lo (2015)'s study to test the sensitivities of a series of fit indices, including ΔCFI, ΔRMSEA, ΔSRMR, ΔGamma, and Δχ2, under specified conditions with Monte Carlo simulation data. Experimental conditions included test length, number of factors, sample sizes, factor loadings, and the percentage of noninvariant items. Results showed that the ΔCFI and ΔGamma are most powerful in testing invariance and are less sensitive to the sample size and non-invariance (or lack of invariance, LOI) situations. There was inflation in Type I error in the 2 factors 8 variable models. ΔSRMR and ΔRMSEA are more powerful only when the sample size is 1,000. ΔSRMR is sensitive to sample size and level of LOI; hence, it is not recommended. The results are compared with previous simulation studies and provide significant implications to researchers who are applying measurement invariance procedures about what fit indices to adopt in their studies.
Notes
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Graduation Date
2022
Semester
Summer
Advisor
Sivo, Stephen
Degree
Doctor of Philosophy (Ph.D.)
College
College of Community Innovation and Education
Department
Learning Sciences and Educational Research
Degree Program
Education; Methodology, Measurement and Analysis
Identifier
CFE0009173; DP0026769
URL
https://purls.library.ucf.edu/go/DP0026769
Language
English
Release Date
August 2025
Length of Campus-only Access
3 years
Access Status
Doctoral Dissertation (Campus-only Access)
STARS Citation
Gao, Xueying, "A Simulation Study to Compare the Sensitivity of Goodness of Fit Indices in Testing Measurement Invariance" (2022). Electronic Theses and Dissertations, 2020-2023. 1202.
https://stars.library.ucf.edu/etd2020/1202
Restricted to the UCF community until August 2025; it will then be open access.