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Principles and practice in reporting structural equation analyses.
Abstract
Principles for reporting analyses using structural equation modeling are reviewed, with the goal of supplying readers with complete and accurate information. It is recommended that every report give a detailed justification of the model used, along with plausible alternatives and an account of identifiability. Nonnormality and missing data problems should also be addressed. A complete set of parameters and their standard errors is desirable, and it will often be convenient to supply the correlation matrix and discrepancies, as well as goodness-of-fit indices, so that readers can exercise independent critical judgment. A survey of fairly representative studies compares recent practice with the principles of reporting recommended here.
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“The final valid questionnaires of this study were 219 cases, which satisfied the minimum requirement of the sample size of 200 people for structural equation modelling (McDonald and Ho 2002).”
From The Relationship Between Knowledge, Psychological Flexibility, Anxiety and Healthy Behaviour in Stroke Patients: A Chain Mediation Model. (2026) · cites this paper as McDonald and Ho 2002
In the citing paper
“Good model fit is indicated by χ ²/df below three, CFI and NNFI values greater than .90, and RMSEA and SRMR below .08 (Hu and Bentler 1999; McDonald and Ho 2002).”
From Awareness Versus Un-Clinging: Which Matters in Mindfulness? (2017) · cites this paper as McDonald and Ho 2002
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“Readers interested in specific aspects of the dispute should refer to Bollen and Long’s (1993) edited volume, which is devoted entirely to the debate, as well as to discussions by Hoyle and Panter (1995), MacCallum and Austin (2000), and McDonald and Ho (2002).”
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“There is a broad array of indices that are calculated by the Amos program, but recent research ( McDonald & Ho, 2002 ) recommended that two of these indices (comparative fit index [CFI], root-meansquare error of approximation [RMSEA]), along with chi-square information, are adequate for examining the consistency of fi…”
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“Excellent recommendations are readily available (e.g., Boomsma, 2000; Hoyle & Panter, 1995; McDonald & Ho, 2002), and we see little utility in duplicating these efforts.”
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“The correlation matrices for the groups are provided in Table 4. Several measures of the goodness of fit of each model to the data are reported, following recommendations by McDonald and Ho (2002) .”
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“The reporting guidelines are comprised of five components (McDonald and Ho 2002; Jackson et al. 2009; Kline 2010; Hoyle and Isherwood 2013): 1.”
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“A large sample size may have rendered this test an inadequate measure of the model’s fitness because sample size can affect the value of c2 (McDonald & Ho, 2002).”
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“Parameter estimates and other statistics depend on the distribution of the data (McDonald and Ho 2002).”
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“An RMSEA value of .08 or lower is acceptable, and a value below .05 indicates a good fit (see McDonald & Ho, 2002 ).”
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“Other sources provide a more complete description of these assumptions (see Kaplan 2009; Kline 2015; MacKenzie, Podsakoff, and Podsakoff 2011; McDonald and Moon-Ho 2002).”
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“Recent research and theory (McDonald & Ho, 2002) indicate that these indicators are sufficient for describing the fit of structural models.”
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“Many statistics can be applied to assess the goodness-of-fit of the structure model (McDonald & Ho, 2002).”
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“and TLI is to one, the better the model fit [ 58 ].”
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“Furthermore, because the fit of a model can often be improved for theoretically irrelevant reasons, it may not be reasonable to treat such alternatives as meaningful unless they have a clear theoretical justification (McDonald & Ho, 2002).”
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“Thus, it is important to also examine local fit indices (residuals; modification indices; cf. McDonald & Ho, 2002).”
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Metadata
- Authors
- McDonald, R. P., & Ho, M.-H. R.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- ORCID
- Ho, Moon-Ho Ringo
- Venue
- Psychological Methods
- Published
- 2002
- Volume
- 7
- Issue
- 1
- Pages
- 64-82
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- OpenAlex
- W2134368355
- Cited by
- 4,734
- References
- 102
- Citations by year
- 2026: 176 · 2025: 300 · 2024: 313 · 2023: 336 · 2022: 348 · 2021: 323 · 2020: 327 · 2019: 289 · 2018: 236 · 2017: 236 · 2016: 206 · 2015: 202 · 2014: 198 · 2013: 208 · 2012: 185
- FWCI
- 58.65
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Psychological Methods (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- structural equation modeling, reporting guidelines, model justification, model identifiability, non-normality, missing data, goodness-of-fit indices, standard errors, correlation matrix, model mismatch, critical appraisal
- MeSH terms
- Humans, Models, Psychological, Research Design, Linear Models
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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