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Table 2 A summary of fit statistics for multiple-group invariance tests

From: Analysis of heterogeneous growth changes in longitudinal height of children

Model description

Comparative model

X2

df

\({\varvec{\Delta}}\)X2

\({\varvec{\Delta}}\)df

p-value

No equality constraints imposed (M1)

547.158

20

All factor loadings constrained equal (M2)

M2 vs M1

1005.86

29

458.699

9

0.000

Equal mean intercept (M3)

M3 vs M1

586.751

23

39.593

3

0.000

Equal rate of change (M4)

M4 vs M1

693.723

23

146.565

3

0.000

Equal random variance (M5)

M5 vs M1

569.571

23

22.413

3

0.000

  1. \(\Delta x^{2}\) = difference in chi-square values between models; \(\Delta df\) = difference in the number of degrees of freedom between models; M1,…, M5 = Model 1, …, Model 5, respectively.