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. 2024 Apr 24;12:227. doi: 10.1186/s40359-024-01737-2

Table 3.

 Multigroup analysis: Invariance, goodness-of-fit indexes, and model comparison

Variable Model χ2 df p CFI TLI RMSEA (90% CI) SRMR |Δ RMSEA| |Δ SRMR| |Δ CFI|
Country M1. Configural 305.009 118 < 0.01 0.974 0.966 0.045 (0.039 − 0.052) 0.037 - - -
M2. Metric 322.091 127 < 0.01 0.973 0.967 0.049 (0.039 − 0.052) 0.040 0.004 0.003 − 0.001
M3. Scalar 373.654 136 < 0.01 0.967 0.962 0.048 (0.042 − 0.053) 0.041 0.001 0.001 − 0.006
M4. Strict 437.618 149 < 0.01 0.960 0.958 0.050 (0.045 − 0.056) 0.043 0.002 0.002 − 0.007
Gender M1. Configural 296.723 118 < 0.01 0.975 0.967 0.044 (0.038 − 0.051) 0.036 - - -
M2. Metric 309.456 127 < 0.01 0.974 0.968 0.043 (0.037 − 0.049) 0.038 − 0.001 0.002 − 0.001
M3. Scalar 335.667 136 < 0.01 0.972 0.968 0.044 (0.038 − 0.050) 0.039 0.001 0.001 − 0.002
M4. Strict 359.723 149 < 0.01 0.970 0.969 0.043 (0.037 − 0.049) 0.039 − 0.001 0.000 − 0.002
Age M1. Configural 489.132 236 < 0.01 0.965 0.954 0.053 (0.046 − 0.059) 0.046 - - -
M2. Metric 565.129 236 < 0.01 0.958 0.951 0.055 (0.048 − 0.061) 0.055 − 0.001 − 0.008 0.006
M3. Scalar 680.382 290 < 0.01 0.946 0.942 0.059 (0.053 − 0.065) 0.058 − 0.004 − 0.003 0.01
M4. Strict 782.048 329 < 0.01 0.938 0.941 0.060 (0.054 − 0.065) 0.061 − 0.005 − 0.006 0.02

Note. χ2, chi-squared test; df, degrees of freedom; p, p value; CFI, comparative fit index; TLI, Tucker-Lewis index; RMSEA, root mean square error of approximation; CI, confidence interval; SRMR, standardized root mean square residual. Change values compare the model to the previous model and comparison criteria are: ΔCFI < 0.010, ΔRMSEA < 0.015, ΔSRMR < 0.030