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. 2020 Feb 24;15(2):e0229458. doi: 10.1371/journal.pone.0229458

Table 5. The analysis of factorial invariance for gender using multi-group confirmatory factor analysis.

Model Test χ2 Df CFI ΔCFI RMSEA ΔRMSEA MI Test a
Model 0 Configural invariance 928.3 404 0.914 0.059 Y
Model 1 Weak invariance 948.6 419 0.914 0.000 0.058 -0.001 Y
Model 2 Strong invariance 1025.0 455 0.907 -0.007 0.058 0.000 Y
Model 3 Strict invariance 1067.4 478 0.904 -0.003 0.057 -0.001 Y

df = degree of freedom; CFI = robust version of the Comparative Fit Index; ΔCFI = differences between models (0 and 1, 1 and 2, and 2 and 3) in robust CFI; RMSEA = robust version of the root mean square of approximation; ΔRMSEA = differences between models (0 and 1, 1 and 2, and 2 and 3) in robust RMSEA;

a = ΔCFI ≤ 0.010 supplemented by ΔRMSEA ≥ -0.015 indicates non-invariance.

Y marks invariance.