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Table 3 Goodness of fit indices for measurement invariance between countries

From: Measurement of job motivation in TEDS-M: testing for invariance across countries and cultures

Invariance model

X 2 /df

CFI

TLI

RMSEA

SRMR

Compare with

ΔCFI

(2) Fully unconstrained baseline model

2.1***

0.95

0.92

0.05

0.04

  

(3) Metric invariance

2.4***

0.92

0.90

0.05

0.07

(2)

0.03

(3a) Metric invariance (Item A for TW free)a

2.2***

0.93

0.92

0.05

0.06

(2)

0.02

(4) Scalar inviariance (across all countries)

9.8***

0.33

0.36

0.14

0.14

(3a)

0.06

(5) Scalar inviariance (across individualistic countries)

3.5***

0.84

0.82

0.07

0.09

(3a)

0.09

(5a) Scalar inviariance (Item D for NW and I for PL free)b

2.2***

0.92

0.91

0.05

0.07

(3a)

0.01

(6) Scalar inviariance (across collectivistic countries)

5.3***

0.70

0.69

0.10

0.10

(3a)

0.02

(7) Scalar invariance across Philippines, Malaysia and Thailand

2.8***

0.89

0.87

0.06

0.07

(3a)

0.04

(7a) Scalar invariance across Philippines, Malaysia (G free) and Thailand (G free)c

2.3***

0.92

0.91

0.05

0.06

(3a)

0.01

(8) Scalar invariance across Taiwan and Singapore

2.5***

0.91

0.89

0.06

0.07

(3a)

0.02

(8) Scalar invariance across Taiwan (B free)d and Singapore

2.2***

0.92

0.91

0.05

0.06

(3a)

0.01

  1. df degrees of freedom, CFI comparative fit Index, TLI Tucker Lewis index, RMSEA root mean square of approximation, SRMR standardized root mean sqare residual, X 2 and df are estimated by MLR, X 2-difference cannot be compared by substracting X 2 and df, ΔX 2 and Δdf were estimated considering the scaling correction factor (Satorra and Bentler 2001; Muthén and Muthén 2010)
  2. * p < .05, ** p < .01, *** p < .001
  3. aFactor loadings of item A “I am attracted by the availability of teaching positions” for Taiwan were set free to vary
  4. bIntercepts of item D “I am attracted by teacher salaries” for Norway and item G “I seek the long-termin security associated with being a teacher” for Poland were set free to vary
  5. cIntercepts of item G “ I seek the long-term security associated with being a teacher” for Thailand and Malaysia were set free to vary
  6. dIntercepts of item A “I am attracted by the availability of teaching positions” for Taiwan were set free to vary