Table 2.

Goodness of Fit for SF36 Multigroup Factorial Invariance Testing

Model	Description	RMSEA (90% CI)	SRMR	CFI	χ2	df	p*	Ref	ΔRMSEA	ΔCFI	Δχ2	Δdf	p* for Δχ2
1	Unconstrained Model	0.028 (.027–.030)	0.059	0.937	4358	2152	0.001
2	Weak Invariance (1st Order Factor Weights)	0.029 (.028–.030)	0.057	0.931	4664	2248	0.001	1	0.001	−0.006	306	96	0.000
3	Weak Invariance (1st & 2nd Order Factor Weights)**	0.029 (.028–.030)	0.058	0.929	4731	2265	0.001	2	0.000	−0.002	67	17	0.000
4	Strong Invariance (Intercepts)	0.032 (.031–.033)	0.057	0.909	5526	2370	0.001	3	0.003	−0.020	795	105	0.000
5	3 Group Strong Invariance (B=W=HS not HE)	0.032 (.031–.033)	0.058	0.911	5422	2335	0.001	3	0.003	−0.018	691	70	0.000
6	3 Group Strong Invariance (B=W=HE not HS)	0.030 (.029–.031)	0.058	0.923	5029	2335	0.001	3	0.001	−0.006	298	70	0.000
7	Error Variances/Covariances(B=W=HE not HS)†	0.031 (.030–.032)	0.060	0.915	5362	2415	0.001	6	0.001	−0.008	333	80	0.000

Notes:

^*The bootstrapped Bollen – Stine p-value is reported because of significant (p<.01) multivariate non-normality.

^**Factor weights/covariances are constrained equal for Blacks, Whites and Hispanic English (Hispanic Spanish are unconstrained).

^†Also termed strict invariance.