2020 · Article · Peer-Reviewed
How and When to Use Which Fit Indices? A Practical and Critical Review of the Methodology
Yaşlıoğlu, M. M., Toplu Yaşlıoğlu, D.
Istanbul Management Journal, vol.88, pp.1-20
Which fit index should I report in structural equation modelling, and when?
Fit indices are too often used as a checklist: whatever clears the cut-off gets reported, whatever does not is quietly dropped. This review examines what χ², CFI, TLI, RMSEA and SRMR actually measure, where they diverge, and how sample size and model complexity move the thresholds. The aim is not another table of cut-offs but clarity about which index answers which question.
Cut-offs are conventions, not laws. Which index you omit says more than the ones you report.
How to cite
Yaşlıoğlu, M. M., Toplu Yaşlıoğlu, D. (2020). How and When to Use Which Fit Indices? A Practical and Critical Review of the Methodology. Istanbul Management Journal, vol.88, pp.1-20.
@article{yaslioglu2020which,
author = {Yaşlıoğlu, M. M. and Toplu Yaşlıoğlu, D.},
title = {How and When to Use Which Fit Indices? A Practical and Critical Review of the Methodology},
year = {2020},
journal = {Istanbul Management Journal, vol.88, pp.1-20}
}Method notes that draw on this
- Which fit index to report, and whenWhich fit indices should I report in structural equation modelling?
- Validity and reliability: what to report, and howHow are validity and reliability reported, and how do they differ?
- How large a sample does factor analysis needWhat sample size is needed for factor analysis and SEM?
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