Summary of SEM Model Fit Statistics

I can never keep track of the various model fit statistics. Thankfully, the book Handbook of Structural Equation Modeling1 includes a chapter by West et al2 including this handy chart:

Table of fit statistics and related thresholds

A few other notes I’ve collected:

χ2:

SRMR:

TLI/CLI:


  1. Hoyle, Rick H., ed. Handbook of structural equation modeling. Guilford press, 2012.↩︎

  2. West, Stephen G., Aaron B. Taylor, and Wei Wu. “Model fit and model selection in structural equation modeling.” Handbook of structural equation modeling (2012): 209-231.↩︎

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