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. 2018 Aug 25;18:266. doi: 10.1186/s12888-018-1841-5

Table 4.

Goodness-of-fit indices for testing measurement invariance across samples

First-order model Second-order model
CFI TLI NFI RMSEA Δχ2 CFI TLI NFI RMSEA Δχ2
Default model .97 .96 .93 .04 (.03, .04) .97 .96 .93 .04 (.03, .04)
  + Factor loadings set equally across samples .96 .96 .93 .04 (.03, .04) p = .212 .96 .96 .93 .04 (.03, .04) p = .212
  + Factor loadings and inter-factor correlations (first-order model) or regression weights (second-order model) set equally across samples .96 .96 .93 .04 (.03, .04) p = .363 .96 .96 .93 .04 (.03, .04) p = .170

CFI Comparative fit index, TLI Tucker Lewis index, NFI Normed fit index, RMSEA Root mean square error of approximation