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Comparing RMSEA-Based Indices for Assessing Measurement Invariance in Confirmatory Factor Models.

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Summary
This summary is machine-generated.

RMSEA_D is a superior fit index for evaluating measurement invariance in multigroup confirmatory factor analysis (CFA) models. It offers increased sensitivity and better detection of noninvariance compared to the difference in RMSEA (ΔRMSEA).

Keywords:
RMSEAconfirmatory factor analysisfit indexmeasurement invariance

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Area of Science:

  • Psychometrics
  • Statistical Modeling
  • Multigroup Confirmatory Factor Analysis (CFA)

Background:

  • Fit indices assess how well a confirmatory factor analysis (CFA) model fits data.
  • In multigroup models, fit indices evaluate measurement invariance before group comparisons.
  • RMSEA_D is an adaptation of RMSEA for assessing nested model consistency across groups.

Purpose of the Study:

  • To comprehensively compare the performance of RMSEA_D against ΔRMSEA for evaluating measurement invariance.
  • To determine which fit index demonstrates greater sensitivity and detection ability in multigroup CFA.

Main Methods:

  • The study involved theoretical derivations of RMSEA_D and ΔRMSEA.
  • A population analysis using one-factor CFA models with common research features was conducted.
  • Nested models were compared to assess measurement invariance.

Main Results:

  • RMSEA_D consistently showed increased sensitivity compared to ΔRMSEA as the number of indicator variables increased.
  • RMSEA_D demonstrated a greater ability to detect noninvariance in one-factor models than ΔRMSEA.
  • The findings were consistent across both derivations and population analyses.

Conclusions:

  • RMSEA_D is recommended over ΔRMSEA for evaluating measurement invariance in multigroup CFA.
  • The enhanced sensitivity of RMSEA_D aids in more accurate assessment of invariance.
  • This provides researchers with a more reliable tool for cross-group comparisons.