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Table 5 Model fit statistics for the series of progressively restrictive models

From: Assessing measurement invariance of familism and parental respect across race/ethnicity in adolescents

Familism
  Model 1 – Configural Invariance Model 2 – Weak Invariance Model 3 – Strong Invariance Model 4 – Equal Factor Means
Chi-square 14.8 74.2 135.0 129.6
df 8 17 38 41
(p) 0.063 <0.001 <0.001 <0.001
RMSEA 0.025 0.049 0.043 0.039
CFI 0.999 0.996 0.993 0.993
Δ Chi-square - 54.1 61.7 7.4
df   9 21 2
(p)   <0.001 <0.001 0.060
Δ CFI - −0.003 −0.003 0.000
Parental Respect
  Model 1 – Configural Invariance Model 2 – Weak Invariance Model 3 – Strong Invariance Model 4 – Equal factor means
Chi-square 10.7 69.2 67.0 106.5
df 8 17 38 41
(p) 0.218 <0.001 0.003 <0.001
RMSEA 0.016 0.047 0.024 0.034
CFI 1.000 0.999 0.999 0.999
Δ Chi-square - 50.2 (1) 21.4
df   9   3
(p)   <0.001   <0.001
Δ CFI - −0.001 0.000 0.000
  1. Nested model difference test failed to converge.