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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.