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. Author manuscript; available in PMC: 2020 Mar 1.
Published in final edited form as: Psychol Rev. 2019 Mar;126(2):226–251. doi: 10.1037/rev0000129

Table 5.

Fit statistics for confirmatory factor analyses.

Model Description df Robust χ 2 RMSEA (90% CI) CFI SRMR AIC BIC SABIC
1 Correlated Categories (No Task Effects) 80 218.17, p < 001 .116 (.098, .134) .977 .078 298.17 438.38 311.59
2 Model 1 +Errors Across Tasks 50 73.95, p=.02 .050 (.022, .073) .996 .030 213.95 459.32 237.43
3 Model 2 +Within−task Invariant Loadings on Category Factors 58 89.56, p=.005 .054 (.030, .074) .995 .069 213.56 430.89 234.35
4 Model 3+Second−order Category Factor 63 92.01, p=.01 .049 (.025, .070) .995 .048 206.01 405.82 225.22
5 Model 4 + CFMT and VET measures 147 216.34 P <.001 .050 (.035, .064) .967 .064 384.34 678.79 412.51

Note: Robust χ2 =Satorra−Bentler robust chi−square test of overall fit generated by the Savalei−Bentler robust two−stage estimator. RMSEA = root mean squared error of approximation. CFI = Comparative Fit Index. SRMR = standardized root mean squared residual. AIC = Akaike Information Criterion. BIC = Bayesian Information Criterion. SABIC = Small− sample corrected Bayesian Information Criterion. Lower scores on the RMSEA, SRMR, AIC, BIC, and SABIC and higher scores on the CFI indicate better fit. Hu and Bentler (1998, 1999) recommended the following criteria for adequate fit on the first three measures: CFI ≥ .95, RMSEA ≤ .06, and SRMR ≤ .08. Because Model 5 includes measures not included in Models 1−4, its values for the AIC, BIC, and SABIC are not directly comparable to those of Models 1−4.