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. 2016 Mar 9;11(3):e0150829. doi: 10.1371/journal.pone.0150829

Table 4. Fit Indices and Comparisons of ESEM Invariance Models (32-countries group and country clusters).

Model SB- χ2 [df] CFI TLI RMSEA CI90-RMSEA SRMR ΔCFI ΔTLI ΔRMSEA ΔSRMR
Total TALIS 2013 Sample
Configural invariance 9,489.4 [1,056]* .979 .958 .039 [.039, .040] .018
Metric invariance 15,288.1 [1,893]* .967 .963 .037 [.037, .038] .041 –.012 +.005 –.002 +.023
Scalar invariance 43,780.5 [2,172]* .896 .899 .061 [.061, .062] .071 –.071 –.064 +.024 +.030
Strict invariance 60,441.1 [2,544]* .855 .880 .066 [.066, .067] .121 –.041 –.019 +.005 +.050
East and South-East Asian countries (Japan, Korea, Malaysia, Singapore)
Configural invariance 1,719.3 [132]* .981 .961 .050 [.048, .052] .016
Metric invariance 2,614.5 [213]* .971 .964 .048 [.046, .050] .036 –.010 +.003 –.002 +.020
Partial scalar invariance 3,489.4 [231]* .960 .955 .054 [.052, .055] .042 –.011 –.009 +.006 +.020
Scalar invariance 5,579.1 [240]* .935 .929 .067 [.066, .069] .052 –.025 –.016 +.006 +.010
Strict invariance 6,679.8 [276]* .922 .925 .069 [.067, .070] .077 –.013 –.004 +.002 +.025
Anglo-Saxon countries (Australia, England, Unites States of America)
Configural invariance 954.6 [99]* .972 .945 .050 [.047, .053] .020
Metric invariance 1,052.0 [153]* .971 .963 .041 [.039, .043] .026 –.001 +.018 –.009 +.006
Partial scalar invariance 1,143.0 [165]* .969 .962 .041 [.039, .043] .029 –.002 –.001 –.009 +.006
Scalar invariance 1,261.6 [171]* .965 .959 .043 [.041, .045] .032 –.004 –.003 +.002 +.003
Strict invariance 1,291.5 [195]* .965 .964 .040 [.038, .042] .040 .000 +.005 –.003 +.008
Nordic countries (Denmark, Finland, Norway, Sweden)
Configural invariance 1,434.4 [132]* .980 .960 .038 [.037, .040] .018
Metric invariance 2,016.3 [213]* .973 .966 .036 [.034, .037] .033 –.007 +.006 –.002 +.015
Partial scalar invariance 3,209.4 [231]* .955 .948 .044 [.043, .045] .039 –.018 –.018 +.008 +.006
Scalar invariance 5,307.7 [240]* .923 .915 .056 [.055, .057] .056 –.022 –.033 +.012 +.017
Strict invariance 6,429.5 [276]* .907 .911 .058 [.056, .059] .082 –.016 –.004 +.002 +.026

Note. SB- χ2 = Satorra-Bentler corrected χ2 value. CI90-RMSEA = 90% confidence interval of the RMSEA.

* p < .01. For the total TALIS 2013 sample, partial scalar was not tested due to a large number of possible combinations that could be used to constrain some of the item intercepts across the 32 participating countries.