Skip to main content
. Author manuscript; available in PMC: 2021 Apr 9.
Published in final edited form as: Eur J Psychol Assess. 2019 Jul 2;36(4):646–657. doi: 10.1027/1015-5759/a000535

Table 2.

Model Comparison for Measurement Invariance

Study 1
Gender

Model χ2 df CFI RMSEA SRMR Δχ2 Δdf p-value
Configural 330.521 38 .940 .087 .048 - - -
Metric 343.865 45 .938 .081 .051 13.344 7 .064
Scalar 392.461 52 .930 .080 .055 48.596 7 <.001
Scalar – i=8 386.803 51 .931 .080 .054 42.938 6 <.001
Scalar – i=4,8 358.674 50 .936 .078 .052 14.809 5 .011

Education

Configural 366.760 73 .936 .089 .049 - - -
Metric 418.274 97 .929 .081 .062 51.514 24 <.001
Metric – i=4 398.611 94 .933 .080 .057 31.851 21 .061
Scalar – i=4 477.010 112 .920 .080 .062 78.399 18 <.001
Scalar— i=1,4 442.555 109 .927 .078 .060 43.944 15 <.001
Scalar— i=1,4,8 420.421 106 .931 .076 .058 21.810 12 .040

Race

Configural 362.330 76 .940 .086 .048 - - -
Metric 391.384 97 .939 .077 .054 29.054 21 .113
Scalar 432.118 118 .935 .073 .056 40.734 21 .006
Scalar – i=4 429.963 115 .934 .074 .056 38.579 18 .003
Study 2
Gender

Model χ2 df CFI RMSEA SRMR χ2 diff df p-value

Configural 203.570 38 .931 .129 .056 - - -
Metric 226.160 45 .924 .124 .083 22.590 7 .002
Metric – i=8 222.697 44 .925 .125 .078 19.127 6 .004
Metric – i=4,8 213.567 43 .929 .123 .066 9.997 5 .075
Scalar – i=4,8 217.500 48 .929 .116 .067 3.933 5 .559

Education (high school degree and up to college degree)

Configural 194.722 38 .930 .131 .056 - - -
Metric 198.335 45 .932 .119 .061 3.613 7 .823
Scalar 203.153 52 .933 .110 .061 4.818 7 .682

Note: χ2=chi-square statistic; Δχ2=chi-square difference; df=degrees of freedom; i=item free to vary