Table 4.
χ2 | df | p | χ2/df | RMSEA (CI) | CFI | IFI | SRMR | Comparisons | ∆RMSEA | ∆CFI | ∆SRMR | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Measurement invariance according to gender | ||||||||||||
Configural invariance | 1802.89 | 176 | <.001 | 10.24 | 0.058 (0.056;0.060) | 0.925 | 0.925 | 0.038 | NA | |||
Metric invariance | 1920.27 | 204 | <.001 | 9.41 | 0.055 (0.053;0.058) | 0.921 | 0.921 | 0.048 | Conf. Vs Metric | 0.003 | 0.004 | 0.010 |
Scalar invariance | 2392.59 | 220 | <.001 | 10.87 | 0.060 (0.058;0.062) | 0.926 | 0.927 | 0.072 | Metric Vs Scalar | 0.005 | 0.006 | 0.024 |
Error variance invariance | 1797.35 | 192 | <.001 | 9.35 | 0.055 (0.053;0.058) | 0.923 | 0.923 | 0.040 | Scalar Vs Error | 0.005 | 0.003 | 0.032 |
Measurement invariance according to age | ||||||||||||
Configural invariance | 1997.06 | 176 | <.001 | 11.34 | 0.061 (0.059;0.063) | 0.920 | 0.921 | 0.039 | NA | |||
Metric invariance | 2154.94 | 204 | <.001 | 10.56 | 0.059 (0.056;0.061) | 0.915 | 0.915 | 0.045 | Conf. Vs Metric | 0.005 | 0.006 | 0.006 |
Scalar invariance | 2585.25 | 220 | <.001 | 11.75 | 0.059 (0.057; 0.062) | 0.916 | 0.916 | 0.046 | Metric Vs Scalar | 0.000 | 0.001 | 0.001 |
Error variance invariance | 2220.93 | 192 | <.001 | 11.56 | 0.062 (0.059; 0.064) | 0.912 | 0.912 | 0.043 | Scalar Vs Error | 0.003 | 0.004 | 0.003 |
Measurement invariance according to country | ||||||||||||
Configural invariance | 1614.49 | 440 | <.001 | 3.66 | 0.060 (0.057; 0.063) | 0.920 | 0.921 | 0.048 | NA | |||
Metric invariance | 1878.41 | 552 | <.001 | 3.40 | 0.057 (0.054; 0.060) | 0.910 | 0.910 | 0.063 | Conf. Vs Metric | 0.003 | 0.011 | 0.015 |
Scalar invariance | 3631.68 | 616 | <.001 | 5.89 | 0.062 (0.059; 0.064) | 0.918 | 0.918 | 0.108 | Metric Vs Scalar | 0.005 | 0.005 | 0.045 |
Error variance invariance | 1791.64 | 504 | <.001 | 3.55 | 0.059 (0.056; 0.062) | 0.916 | 0.917 | 0.052 | Scalar Vs Error | 0.003 | 0.002 | 0.056 |
Note. CFA = confirmatory factor analysis; χ2 = Satorra-Bentler chi-square; df = degrees of freedom; p = general model significance; χ2/df = normed chi-square; RMSEA = root mean square error of approximation; CFI = comparative fit index; IFI = incremental fit index; SRMR = standardized root mean square residual; ∆ RMSEA = change in RMSEA compared with the previous model (expressed in absolute values); ∆ CFI = change in CFI compared with the previous model (expressed in absolute values); ∆ SRMR = change in SRMR compared with the previous model (expressed in absolute values).
The table shows the four levels tested of measuring invariance (configural, metric, scalar and error variance) to observe if model fit indices remain similar in participants of different gender, country or age group (adolescents aged 12–17 or young adults aged 18–25). For ease of comparison, the increase in the indexes is also showed.