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. Author manuscript; available in PMC: 2018 Dec 1.
Published in final edited form as: Assessment. 2016 Apr 6;24(8):1062–1079. doi: 10.1177/1073191116640355

Table 5.

Fit Indices of Measurement Invariance Testing by Gender for Four-Correlated and Four-Bifactor Models

Model df χ 2 TLI CFI RMSEA
4 correlated model
Men 344 2821.29 .87 .88 .09
Women 344 2153.15 .90 .91 .07
Configural invariance by gender 688 5005.17 .88 .89 .08
Scalar invariance by gender 791 5259.64 .90 .89 .07
Configural versus scalar model 103 709.08
4 bifactor model
Men 322 1661.83 .93 .94 .07
Women1 297 1133.22 .95 .96 .05
Configural invariance by gender1 594 2742.33 .94 .95 .06
Scalar invariance by gender1 718 2729.72 .95 .95 .05
Configural versus scalar model 124 355.04

Note. All analyses performed using WLSMV in MPlus. All χ2 statistics were significant at p < .001. df= degrees of freedom. TLI= Tucker-Lewis index. CFI= comparative fit index. RMSEA= root mean square error of approximation. The steps of measurement invariance are presented using gender: fit indices within each gender (Step 1 of measurement invariance testing), followed by the fit statistics when using configural (Step 2), and scalar (Step 3) solutions in the entire sample of men and women, and finally χ2 differences tests to determine if the scalar model fits significantly better than the configural model (Step 4).

1

SRP 8 was removed from the model to resolve model errors.