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Table 4 Invariance tests of the basic CFA model between the Chinese group and American group

From: Are need for affect and cognition culture dependent? Implications for global public health campaigns: a cross-sectional study

Model

Description

λ2

df

p

CFI

TLI

NFI

RMSEA

AIC

ECVI

Test

ΔCFI

ΔRMSEA

M0

Baseline model, no constraints on model parameters

263.124

26

<.001

0.977

0.941

0.966

0.030

607.124

0.283

M1

All factor loadings constrained to be equal

408.270

35

<.001

0.959

0.922

0.947

0.047

704.270

0.329

M1-M0

−0.018

0.017

M2

“Approach” factor loadings constrained to be equal

281.146

31

<.001

0.971

0.949

0.963

0.032

654.146

0.296

M2-M0

−0.006

0.002

M3

“Avoidance” factor loadings constrained to be equal

367.272

31

<.001

0.962

0.943

0.948

0.042

720.272

0.655

M3-M0

−0.015

0.012

M4

All factor loadings constrained to be equal except item NFA_10

292.361

34

<.001

0.969

0.945

0.951

0.039

679.025

0.309

M4-M0

−0.008

0.009

M5

All factor loadings and the vectors of item intercepts constrained to be equal

335.565

73

<.001

0.953

0.929

0.942

0.049

762.515

0.683

M5-M1

−0.006

0.002

M6

All factor loadings and the variances of constructs constrained to be equal

320.461

41

<.001

0.951

0.931

0.944

0.045

738.461

0.398

M6-M1

−0.008

−0.002

M7

All factor loadings and the factor covariance constrained to be equal

518.586

45

<.001

0.946

0.908

0.939

0.061

822.586

0.703

M7-M1

−0.013

0.014

  1. Criteria for accepting the null hypothesis of invariance (Chen et al [43])
  2. ≥ − .010
  3. ≤.015
  4. ΔCFI Change in CFI, ΔRMSEA Change in RMSEA
  5. M0: Testing configural invariance between groups, i.e., H0 = Both groups associate the same subsets of items with the same constructs;
  6. M1-M0: Testing construct-level metric invariance between groups, i.e., H0 = The strength of the relationships between items and their underlying constructs are the same between groups;
  7. M2-M0: Testing the metric invariance of “Approach” between groups, i.e., H0 = The strength of the relationships between 5 approach items and the construct “Approach” are the same between groups;
  8. M3-M0: Testing the metric invariance of “Avoidance” between groups, i.e., H0 = The strength of the relationships between 5 avoidance items and the construct “Avoidance” are the same between groups;
  9. M4-M0: Testing the metric invariance of item NFA_10 between groups, i.e., H0 = The strength of the relationship between NFA_10 and the construct “Avoidance” is the same between groups;
  10. M5-M1: Testing the scalar equivalence of items between groups, i.e., H0 = The values of each item corresponding to the zero value of the underlying constructs are the same between groups;
  11. M6-M1: Testing equivalence of construct variances between groups, i.e., H0 = The variances of “Approach” and “Avoidance” are the same between groups;
  12. M7-M1: Testing the equivalence of construct covariance between groups, i.e., H0 = The covariance between “Approach” and “Avoidance” is the same between groups;