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. Author manuscript; available in PMC: 2018 Sep 1.
Published in final edited form as: Psychol Methods. 2016 May 23;22(3):486–506. doi: 10.1037/met0000075

Table 2.

Results from the longitudinal measurement invariance tests for youth reported familism obligations using DWLS estimation with robust correction in Mplus

Model Robust χ2 goodness-of-fit CFI (default) CFI (corrected) RMSEA DIFFTEST
Value df p Value df p
1 Baseline 181.705 134 <.01 0.986 0.988 0.022
2 Loading Invariance 192.942 146 <.01 0.987 0.988 0.021 14.169 12 0.290
3 Threshold Invariance 291.926 173 <.001 0.966 0.970 0.030 113.571 27 <.001

Note. The latent responses were identified by placing constraints on the threshold parameters. CFI (default) is the CFI value that Mplus produces using the default standard null model. CFI (corrected) is the corrected CFI value calculated using a more restricted null model that constrains all thresholds to be invariant across measurement waves. Widaman and Thompson (2003) point that that when the CFI value calculated using the standard null model approaches unity, using a more constrained, alternative null model will not greatly change the CFI value. CFI = comparative fit index; RMSEA = root-mean-square error of approximation.