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Table 1 The different levels of invariance achieved by the CD-RISC and RSA

From: Disentangling change across the time and true stability of employees’ resilience using latent state model

 

RMSEA

DIFFTEST/Χ2δ

Scale

Modelling approach

Model

Invariance Model

χ2(df), p-value

Estimate

90% Percent CI

Close fit

CFI

TLI

SRMR

Chi-square value

And Model comparison

dfΔ

p-value (χ2Δ)

AIC

BIC

CD-RISC

Latent State

 

Baseline

886.118(402), < 0.001

0.057

0.051 to 0.062

0.017

0.906

0.898

0.083

     

CD-RISC

LS-IS

1

Baseline

361.012(339), 0.1967

0.013

0.000 to 0.024

1

0.996

0.995

0.045

     

LS-IS

2

Loading Invariance

374.162(357), 0.2556

0.011

0.000 to 0.022

1

0.997

0.996

0.046

13.933 (2 vs 1)

18

0.7334

  

LS-IS

3

Threshold Invariance

414.134(395), 0.2439

0.011

0.000 to 0.022

1

0.996

0.996

0.047

42.044 (3 vs 2)

38

0.3000

  

LS-IS

4

Unique Factor

432.087(415), 0.2715

0.010

0.000 to 0.021

1

0.997

0.997

0.050

19.952 (4 vs 3)

20

0.4609

  

LS-IS

5

Model 4 with equal correlation between the state factors

435.057(417), 0.2613

0.011

0.000 to 0.021

1

0.996

0.996

0.052

2.553 (5 vs 4)

2

0.2739

  

LS-IS

6

Model 5 with t2 and t3 means equal

435.099(418), 0.2721

0.010

0.000 to 0.021

1

0.997

0.997

0.052

0.635 (6 vs 5)

1

0.4257

  

LS-IS

7

Model 6 with equal variance of state factor

464.755(420), 0.0648

0.017

0.000 to 0.025

1

0.991

0.991

0.052

23.151 (7 vs 6)

2

 < 0.0001

  

RSA

LS-SI

1

Configural invariance

148.617 (117) 0.0257

0.027

0.010 to 0.039

1

0.984

0.979

0.067

   

21,147.032

21,430.153

LS-SI

2

Weak invariance

150.508 (127) 0.0758

0.022

0.000 to 0.035

1

0.988

0.986

0.065

25,364 (2 vs 1)

10

0.9903

21,130.634

21,374.433

LS-SI

3

Strong invariance

163.871 (137) 0.585

0.023

0.000 to 0.035

1

0.986

0.985

0.069

12.8525 (3 vs 2)

10

0.2320

21,123.882

21,328.359

LS-SI

4

Strict invariance

171.854 (149) 0.0968

0.020

0.000 to 0.033

1

0.988

0.988

0.067

9.2663 4 vs 3)

12

0.6800

21,110.293

21,267.583

LS-SI

5

Strick invariance, equal LS factor means

178.924 (151) 0.0600

0.022

0.00 to 0.034

1

0.986

0.986

0.070

4.7056 (5 vs 4)

2

0.0951

21,113.755

21,263.18

LS-SI

6

Strick invariance, equal LS factor means and variances

184.923 (153) 0.0401

0.024

0.005 to 0.035

1

0.984

0.984

0.097

4.0175 (6 vs 5)

2

0.1342

2115.954

21,257.515

LS-SI

7

Strick invariance, equal LS factor means, variances, and covariances

185.748 (155) 0.0465

0.023

0.003 to 0.034

1

0.984

0.984

0.097

6.2915 (7 vs 6)

2

0.0430

21,114.561

21,248.258

  1. Note. LS-SI Latent State with indicator-specific factor, df Degrees of freedom, CI Confidence interval, CFI Comparative Fit index, TLI Tucker-Lewis index, SRMR Standardized root mean square residual, AIC Akaike's information criterion, BIC Bayesian information criterion