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Table 8 Models’ comparison for invariance tests for URS for sociocultural level invariance (joining samples 2 and 3, N = 1084)

From: Factorial validity and measurement invariance of the uncertainty response scale

Invariance level Definition Model χ2 df Δ χ2 Δ df p CFI RMSEA Δ CFI Δ RMSEA Δ SRMR
Configural invariance Same factor structure M1 1717.985 807     .92 .032    
Metric invariance Same factor structure and factor loadings M2-M1 1777.097 851 59.111 44 .064 .92 .032 − .002 0 .001
Scalar invariance Same factor structure, factor loadings, and intercepts M3-M2 1876.510 901 99.413 50 < .001 .92 .032 − .004 0 .000
Error variance invariance Same factor structure, factor loadings, and error variances M4-M3 1888.243 913 11.734 12 .467 .92 .031 0 − .001 .007
Structural invariance Same factor structure, factor loadings, error variances, and factors’ covariance M5-M4 2001.239 969 112.996 56 < .001 .91 .031 − .005 0 .001
  1. χ2 Chi-square, df degrees of freedom, Δ χ2 difference between model’s χ2, Δ df difference between models’ df, p p value, CFI comparative fit index, RMSEA root mean square error of approximation, Δ CFI difference between model’s CFI’s, Δ RMSEA difference between model’s RMSEA, Δ SRMR difference between model’s standardized root mean square residuals, M1 to M5 models tested