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. 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 3.

Multiple-group Confirmatory Factor Analysis Tests of Measurement Invariance Across African American and European American Families

Constrained
vs. unconstrained
Constrained
vs. partially invariant
Unconstrained
vs. partially invariant
Final measurement model
Prosocial rewards Δ χ2 (12) = 27.84*
Δ CFI = −0.01
Δ χ2 (1) = 17.08*
Δ CFI = −0.01
Δ χ2 (11) = 10.76
Δ CFI = 0.00
χ2 (35) = 28.75
CFI = 1.00, SRMR = .041
Psychological costs Δ χ2 (4) = 6.97
Δ CFI = −0.05
N/A N/A χ2 (6) = 10.03
CFI = 0.94, WRMR = .85
Antisocial rewards Δ χ2 (6) = 3.42
Δ CFI = 0.00
N/A N/A χ2 (10) = 8.55
CFI = 1.0, SRMR = .02
Problem solving Δ χ2 (10) = 21. xx*
Δ CFI = 0.00
Δ χ2 (1) = 12.47**
Δ CFI = 0.00
Δ χ2 (9) = 8.53
Δ CFI = 0.00
χ2 (21) = 22.51
CFI = 1.00, SRMR = .042
Drug expectancies Δ χ2 (10) = 11.08
Δ CFI = 0.00
N/A N/A χ2 (88) = 147.57
CFI = 0.97, SRMR = .07
Drug initiation Δ χ2 (1) = 1.42
Δ CFI = 0.00
N/A N/A χ2 (2) = 1.81
CFI = 0.99, SRMR = .05
Antisocial beliefs Δ χ2 (5) = 6.32
Δ CFI = 0.00
N/A N/A χ2 (48) = 67.30
CFI = 0.99, SRMR = .05
Problem behavior Δ χ2 (6) = 5.05
Δ CFI = 0.00
N/A N/A χ2 (36) = 52.26
CFI = 0.97 SRMR = .05
*

p < .05

1

Loading for “Failed to respond to prosocial behavior or attitude” stronger for EA than AA. Loading is significant and negative for both groups.

2

Intercept for “Caregiver and child enjoyed each other’s company” significantly higher for EA than AA.