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Table 2 Confirmatory factor analysis: Model comparison and tests of measurement invariance for the nine-factor model (Robust Maximum Likelihood estimation - MLM)

From: Factor structure and psychometric properties of the trier inventory for chronic stress (TICS) in a representative german sample

Model tested

Absolute fit

Comparison to less-constrained (or baseline) model

Comparative fit

Parsimony fit

 

N

c1

SB χ2

df

SB χ2/df

Δdf

T S (ΔSB χ2)

AIC

TLI

CFI

SRMR

RMSEA a

Factorial Invariance

            

Two-factor model

1,149

1.259

11,847.949***

1,538

7.7

  

157,955

.747

.756

.078

.067

Nine-factor model

1,149

1.250

7,383.383***

1,500

4.9

38

2,765.7***

153,564

.855

.863

.071

.051

Measurement Invariance (Gender)

            

Female

622

1.209

4,837.946***

1,500

3.2

  

82,414

.858

.867

.071

.052

Male

527

1.220

4,720.306***

1,500

3.1

  

71,065

.830

.840

.077

.055

Baseline Model

1,149

1.211

9,665.630***

3,048

3.2

  

153,488

.846

.853

.075

.053

Partial measurement invariance b

1,149

1.209

9,761.882***

3,099

3.2

51

88.4**

153,482

.847

.852

.077

.053

Full measurement invariance c

1,149

1.210

9,874.099***

3,157

3.1

58

(109)

88.8***

(176.4***)

153,482

.849

.851

.078

.053

Measurement Invariance (Age)

            

Young (14-47)

540

1.193

4,562.580***

1,500

3.0

  

73,432

.834

.844

.075

.054

Old (48-99)

609

1.251

4,743.958***

1,500

3.2

  

79,730

.863

.871

.068

.050

Baseline Model

1,149

1.219

9,481.756***

3,048

3.1

  

153,245

.849

.856

.073

.052

Partial measurement invariance b

1,149

1.215

9,571.958***

3,099

3.1

51

92.4***

153,236

.850

.854

.075

.052

Full measurement invariance c

1,149

1.217

9,812.218***

3,157

3.1

58

(109)

181.5***

(248.6***)

153,358

.849

.850

.076

.052

  1. Measurement invariance tested for the nine-factor structure. c1 = χ2 scale correction factor for Robust Maximum Likelihood estimation (MLM). SB χ2 = Satorra-Bentler scaled χ2 value. T S (ΔSB χ2) = test statistic for the scaled difference in SB χ2s (SDCS test) with df as stated above comparing a model with the model above. ** p < .01, *** p < .001. AIC = Akaike information criterion. a RMSEA 90% confidence interval is not available for MLM estimations in MPlus 5.1. b Factor loadings and indicator intercepts constrained as equal. C Factor loadings, indicator intercepts, and indicator errors hold equal