Skip to main content
. 2017 Dec 7;12(12):e0188898. doi: 10.1371/journal.pone.0188898

Table 3. Goodness of fit indices for every pair of nested models and chi-square statistics for comparing the models.

Model DF χ2 χ2 / DF RMSEA SRMR CFI GFI NFI IFI (Δχ2, DF)
Unconstrained 229 981.65 4.20 0.024 0.029 0.94 0.98 0.93 0.94 Assuming to be correct
Measurement weights 243 1021.42 4.28 0.024 0.030 0.93 0.98 0.92 0.94 39.77*, DF = 14
Structural weights 284 1414.91 4.98 0.027 0.040 0.91 0.97 0.90 0.87 433.26*, DF = 55
Structural residuals 299 2331.61 7.80 0.035 0.047 0.85 0.96 0.83 0.78 1349.96*, DF = 70
Measurement residuals 346 300.62 8.67 0.075 0.046 0.80 0.93 0.78 0.76 2019.97*, DF = 117

Chi-square test is used to test the null hypothesis that the more constrained model is correct under the assumption that the less constrained model is correct. The model with all parameters differed in two genders was significantly better than others which had some constraints on the parameters.

* P < 0.001

χ2: Chi-Square value, DF: Degrees of Freedom, RMSEA: Root Mean Square Error of Approximation, SRMR: Standardized Root Mean Square Residual, NFI: Normed Fit Index, CFI: Comparative Fit Index, IFI: Incremental Fit Index, GFI: Goodness of Fit Index.