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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