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Table 2 Evaluations of measurement invariance between Brazil and Norway

From: The cross-cultural validity of the Resilience Scale for Adults: a comparison between Norway and Brazil

Model

Type of test

Compared with

χ 2

SB χ 2

df

ε a

CFI

Δdf

ΔSB χ2

Δ ε a

ΔCFI

M1a

Brazil

 

937.78

686.47

480

.0441

.9596

    

M1b

Norway

 

1195.42

902.93

480

.0530

.9567

    

M2

Baseline (both models)

 

2133.19

1586.00

960

.0494

.9579

    

M3

Factor loadings: λall equal

M2

2183.00

1620.29

987

.0490

.9574

27

34.87

-.0004

-.0004

M4

Item errors: δall equal

M3

2518.85

1747.11

1020

.0516

.9511

33

78.72***

.0026

-.0063

M4a

λall equal, δ7 free

M3

2294.50

1649.03

1013

.0485

.9572

26

36.36

-.0005

-.0002

M5

Intercepts/means: τall equal

M4a

2614.97

1960.31

1046

.0572

.9385

33

320.47***

.0087

-.0187

M5a

λall equal, δ7 free, τ22 free

M4a

2313.82

1671.17

1024

.0486

.9565

11

19.32

.0001

-.0007

M6

Latent means equal: κall equal, λall equal, δ7 free, τ22 free

 

2317.73b

1675.31

1025

.0487

.9563

    

M6a

Latent means different: κall free, λall equal, δ7 free, τ22 free

M6

2306.69

1660.02

1019

.0484

.9569

6

11.04

-.0003

.0006

  1. Note. ***p < .001. SB χ2 = Satorra-Bentler rescaled chi-square, ε a  = Root Mean Square Error of Approximation, CFI = Comparative Fit Index, Δ = change in statistical values. bThe model is similar to M5a, except one intercept in the PS factor had to freed up for model identification purposes. λ = factor loadings (lambda), δ = residual error variances (delta), τ = latent intercepts (tau), κ = latent factor means (kappa)