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. Author manuscript; available in PMC: 2018 Jun 1.
Published in final edited form as: Assessment. 2016 Mar 4;24(8):987–998. doi: 10.1177/1073191116636449

Table 3.

Fit Statistics for Multigroup Confirmatory Factor Models.

χ2 df χ2/df RMSEA [90% CI] CFI ΔCFI Δdf
Model 1 (Two factors based on wording)
Single group
18–39 Years old group 625.954 134 4.671 .052 [.047, .056] .933
40–59 Years old group 724.787 134 5.409 .048 [.045, .051] .946
60–99 Years old group 640.495 134 4.780 .047 [.043, .051] .945
Measurement invariance
Configural invariance 1991.249 402 4.953 .028 [.027, .029] .942
Metric invariance (factor loadings) 2080.191 434 4.793 .028 [.026, .029] .940 .002 32
Scalar invariance (intercepts) 2311.662 470 4.918 .028 [.027, .029] .933 .009 68
Structural covariances (factor variances and covariances) 2344.829 476 4.926 .027 [.027, .029] .932 .010 74
Strict invariance (invariance of residual variances of measured variables) 2480.285 512 4.844 .027 [.027, .029] .928 .014 110
Model 2 (one factor, correlated errors based on wording)
Single group
18–39 Years old group 410.485 99 4.146 .048 [.043, .053] .957
40–59 Years old group 460.386 99 4.650 .044 [.040, .048] .967
60–99 Years old group 430.517 99 4.349 .044 [.040, .049] .964
Measurement invariance
Configural invariance 1301.398 297 4.382 .026 [.025, .027] .963
Metric invariance (factor loadings) 1405.739 331 4.247 .025 [.025, .027] .961 .002 34
Scalar invariance (intercepts) 1638.076 367 4.463 .026 [.025, .028] .954 .009 70
Structural covariances (factor variances and covariances) 1642.858 369 4.452 .026 [.025, .028] .954 .009 72
Strict invariance (invariance of residual variances of measured variables) 1922.550 477 4.031 .025 [.023, .026] .947 .016 180
Model 3 (two factors, age effects)
Single group
18–39 Years old group 944.340 134 7.047 .066 [.062, .070] .889
40–59 Years old group 1342.732 134 10.020 .069 [.065, .072] .890
60–99 Years old group 1387.691 134 10.356 .074 [.071, .078] .864
Measurement invariance
Configural invariance 3674.761 402 9.141 .040 [.039, .042] .881
Metric invariance (factor loadings) 3755.021 434 8.752 .039 [.038, .040] .879 .002 32
Scalar invariance (intercepts) 3983.037 470 8.475 .039 [.038, .040] .872 .009 68
Structural covariances (factor variances and covariances) 3993.131 476 8.389 .038 [.037, .040] .872 .009 74
Strict invariance (invariance of residual variances of measured variables) 4150.931 512 8.107 .038 [.037, .039] .868 .013 110

Note. χ2 = adjusted chi-square fit statistic; df = degrees of freedom; RMSEA = root mean square error of approximation; CFI = comparative fit index; CI = confidence interval.