. Author manuscript; available in PMC: 2012 Jul 1.

Published in final edited form as: Cultur Divers Ethnic Minor Psychol. 2011 Jul;17(3):252–260. doi: 10.1037/a0024730

Table 4.

Tests of Structural Invariance Across Race, Model Fit, and Path Coefficients Between Parenting and Youth Constructs

Youth variable	Structural invariance tests		Model fit indices				Unstandardized path coefficient(s)

	Δ χ²	Δ CFI	χ² (df)	CFI	WRMR/SRMR
Prosocial rewards
Drug expectancies	0.05	.01	364.49 (274) ^**	0.97	-	.07	−0.03
Drug initiation	1.51	.00	34.08 (33)	1.00	0.91	-	−0.22^*
Antisocial beliefs	3.25	.00	215.66 (167) ^**	0.97	-	.07	−0.14^**
Problem behaviors	2.02	.00	188.27 (168)	0.99	-	.06	−0.18^***
Psychological costs
Drug expectancies	0.40	.01	56.84 (38) ^*	0.89	1.13	-	0.11
Drug initiation Alcohol	0.82	.00	27.78 (19)	0.98	1.06	-	0.40^**
Antisocial beliefs	1.67	.00	35.38 (31)	0.98	1.02	-	0.06
Problem behaviors	0.11	.01	58.27 (43)	0.94	1.13	-	0.28^**
Antisocial rewards
Drug expectancies	0.02	.00	282.56 (183)	0.95	-	.08	0.16^*
Drug initiation	7.34^*	−.01^*	12.69 (17)	1.00	0.71	-	0.12 AA 1.12^** EA
Antisocial beliefs	1.45	.00	85.28 (78)	0.99	-	.08	0.30^**
Problem behaviors	0.13	.00	126.6X (101) 1^*	0.96	-	.09	0.37^**
Problem solving
Drug expectancies	0.01	.00	328.32 (237)	0.97	-	.07	−0.02
Drug initiation	0.88	.00	13.91 (21)	1.00	0.63	-	−0.28^**
Antisocial beliefs	3.63	.00	203.22 (140)^***	0.97	-	.05	−0.17^**
Problem behaviors	0.33	.00	159.14 (141)	0.99	-	.04	−0.19^***

p < .05;

^**

p < .01;

^***

p < .001;

AA (African American sample) EA (European American sample)