Table 4.
Model Comparisons for Single- and Multi-Group Analyses
| Model Fit Statistics | Model Comparisons | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Analysis | Sample | Model | χ2 | df | p | CFI | TLI | RMSEA | SRMR | Comparison | Δχ2 | Δdf |
| Single-Group | ||||||||||||
| Full Sample | ||||||||||||
| F1 | 112.781 | 77 | .005 | .986 | .981 | .037 | .042 | -- | -- | -- | ||
| F2 | 160.190 | 117 | .005 | .985 | .978 | .033 | .037 | -- | -- | -- | ||
| F3 | 160.610 | 118 | .006 | .985 | .979 | .033 | .037 | F2 vs. F3 | 0.420 | 1 | ||
| F4 | 161.378 | 119 | .006 | .985 | .979 | .032 | .037 | F3 vs. F4 | 0.768 | 1 | ||
| F5 | 162.537 | 120 | .006 | .985 | .979 | .032 | .038 | F4 vs. F5 | 1.159 | 1 | ||
| Girls | ||||||||||||
| G1 | 115.388 | 77 | .003 | .969 | .958 | .054 | .057 | -- | -- | |||
| G2 | 179.815 | 117 | < .001 | .956 | .938 | .056 | .051 | -- | -- | -- | ||
| G3 | 179.869 | 118 | < .001 | .957 | .939 | .055 | .051 | G2 vs. G3 | 0.054 | 1 | ||
| G4 | 180.270 | 119 | < .001 | .957 | .940 | .054 | .051 | G3 vs. G4 | 0.401 | 1 | ||
| G5 | 182.665 | 120 | < .001 | .956 | .940 | .055 | .052 | G4 vs. G5 | 2.395 | 1 | ||
| Boys | ||||||||||||
| B1 | 101.318 | 77 | .033 | .978 | .970 | .048 | .052 | -- | -- | -- | ||
| B2 | 144.455 | 117 | .043 | .978 | .969 | .042 | .048 | -- | -- | -- | ||
| B3 | 144.830 | 118 | .047 | .979 | .970 | .041 | .048 | B2 vs. B3 | 0.375 | 1 | ||
| B4 | 145.831 | 119 | .048 | .979 | .970 | .041 | .049 | B3 vs. B4 | 1.001 | 1 | ||
| B5 | 146.870 | 120 | .048 | .979 | .971 | .041 | .049 | B4 vs. B5 | 1.039 | 1 | ||
| Multi-Group | ||||||||||||
| Girls/Boys | ||||||||||||
| MGa1 | 187.557 | 138 | .003 | .979 | .968 | .048 | .046 | -- | -- | -- | ||
| MGa2 | 201.999 | 146 | .002 | .976 | .966 | .050 | .051 | MG1a vs. MG2a | . 14.442 | 8 | ||
| MGa3 | 214.984 | 154 | .001 | .974 | .965 | .051 | .052 | MG2a vs. MG3a | . 12.985 | 8 | ||
| MGb1 | 246.363 | 170 | < .001 | .968 | .960 | .054 | .060 | -- | -- | -- | ||
| MGb2 | 247.726 | 172 | < .001 | .968 | .961 | .053 | .061 | MGb1 vs. MG2b | 1.363 | 2 | ||
| MGb3 | 258.686 | 179 | < .001 | .966 | .961 | .054 | .064 | MGb3 vs. MGb2 | 10.960 | 7 | ||
| MGc1 | 366.476 | 265 | < .001 | .962 | .953 | .050 | .057 | -- | -- | -- | ||
| MGc2 | 374.556 | 269 | < .001 | .961 | .952 | .050 | .059 | MGc1 vs. MGc2 | 8.080 | 4 | ||
| MGd1 | 374.583 | 270 | < .001 | .961 | .952 | .050 | .059 | -- | -- | -- | ||
| MGd2 | 375.229 | 271 | < .001 | .961 | .953 | .050 | .059 | MGd1 vs. MGd2 | 0.646 | 1 | ||
| MGd3 | 377.444 | 272 | < .001 | .961 | .952 | .050 | .061 | MGd2 vs. MdG3 | 2.215 | 1 | ||
| MGd4 | 378.550 | 273 | < .001 | .961 | .952 | .050 | .061 | MGd3 vs. MGd4 | 1.106 | 1 | ||
| MGd5 | 378.563 | 274 | < .001 | .961 | .953 | .050 | .061 | MGd4 vs. MGd5 | 0.013 | 1 | ||
Note. F = Full sample; G = Girls; B = Boys; Models F/G/B1 are confirmatory factor analysis (CFA) models; F/B/G2–5 are structural equation models (SEM); MG = Multigroup; a = Testing first-order CFA factors; b = Testing second-order CFA factors; c = Testing SEM means for observed variables; d = Testing SEM path constraints; χ2 = Chi-square; df = Degrees of freedom; CFI = Comparative fit index; TLI = Tucker-Lewis index; RMSEA = Root mean square error of approximation; SRMR = Standardized root mean square residual.