Structural equation modeling with AMOS, EQS, and LISREL: Comparative approaches to testing for the factorial validity of a measuring instrument
Abstract
Using a confirmatory factor analytic (CFA) model as a paradigmatic basis for all comparisons, this article reviews and contrasts important features related to 3 of the most widely-used structural equation modeling (SEM) computer programs: AMOS 4.0 (Arbuckle, 1999), EQS 6 (Bentler, 2000), and LISREL 8 (Joreskog & Sorbom, 1996b). Comparisons focus on (a) key aspects of the programs that bear on the specification and testing of CFA models-preliminary analysis of data, and model specification, estimation, assessment, and misspecification; and (b) other important issues that include treatment of incomplete, nonnormally-distributed, or categorically-scaled data. It is expected that this comparative review will provide readers with at least a flavor of the approach taken by each program with respect to both the application of SEM within the framework of a CFA model, and the critically important issues, previously noted, related to data under study.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The structural equation model fit the data well (CMIN/df = 1.520, GFI, AGFI, NFI, RFI, IFI, TLI, and CFI all above 0.9, RMSEA = 0.033, Standardized RMR = 0.035).
“In the structural equation model verification, CMIN was 814.554, CMIN/df was 1.520, GFI, AGFI, NFI, RFI, IFI, TLI, and CFI were all above 0.9, RMSEA was 0.033, less than 0.08, Standardized RMR was 0.035, less than 0.05 [76]. Almost all the fitting indexes were in line with the standards of a general structural equation model, and therefore, the model fits well [74].”
From Health and Wellness Tourists’ Motivation and Behavior Intention: The Role of Perceived Value (2023) · cites this paper as [76]
Cites
Structural Equations with Latent Variables
Bollen, K. A. (1989) · Wiley series in probability and statistics · doi:10.1002/9781118619179 · Cited by 17,512 · see citing works
Structural Equations with Latent Variables.
Clogg, C. C., & Bollen, K. A. (1991) · Contemporary Sociology A Journal of Reviews · doi:10.2307/2072165 · Cited by 17,471 · see citing works
Statistical Analysis With Missing Data
Lahiff, M., Little, R. J. A., & Rubin, D. B. (1989) · Journal of the American Statistical Association · doi:10.2307/2289883 · Cited by 17,384 · see citing works
RUBIN, D. B. (1976) · Biometrika · doi:10.1093/biomet/63.3.581 · Cited by 9,925 · see citing works
EQS : structural equations program manual
Bentler, P. M. (1989) · Medical Entomology and Zoology · Cited by 9,669 · see citing works
(1996) · Consulting Psychologists Press eBooks · Cited by 7,863 · see citing works
(1993) · Medical Entomology and Zoology · Cited by 7,690 · see citing works
Practical issues in structural modeling
BENTLER, P. M., & CHOU, C.-P. (1987) · Sociological Methods & Research · doi:10.1177/0049124187016001004 · Cited by 5,804 · see citing works
Structural Equation Modeling With AMOS: Basic Concepts, Applications, and Programming, Third Edition
Byrne, B. M. (2016) · doi:10.4324/9781315757421 · Cited by 4,653 · see citing works
Self-citationByrne, B. M. (1998) · Cited by 3,873 · see citing works
Self-citationAsymptotically distribution-free methods for the analysis of covariance structures.
Browne, M. (1984) · British Journal of Mathematical & Statistical Psychology · doi:10.1111/j.2044-8317.1984.tb00789.x · Cited by 1,890 · see citing works
Yuan, K.-H., & Bentler, P. (2000) · Sociological Methodology · doi:10.1111/0081-1750.00078 · Cited by 1,847 · see citing works
(1995) · Cited by 1,801 · see citing works
(1996) · Dialnet (Universidad de la Rioja) · Cited by 1,733 · see citing works
Multivariate Analysis with Latent Variables: Causal Modeling
Bentler, P. M. (1980) · Annual Review of Psychology · doi:10.1146/annurev.ps.31.020180.002223 · Cited by 1,621 · see citing works
Can test statistics in covariance structure analysis be trusted?
Hu, L.-T., Bentler, P., & Kano, Y. (1992) · Psychological bulletin · doi:10.1037/0033-2909.112.2.351 · Cited by 1,568 · see citing works
Structural Equation Modeling with EQS and EQS/WINDOWS: Basic Concepts, Applications, and Programming
Byrne, B. M. (1994) · Medical Entomology and Zoology · Cited by 1,504 · see citing works
Self-citationLittle, T. D. (1997) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr3201_3 · Cited by 1,397 · see citing works
Gold, M. S., & Bentler, P. M. (2000) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1207/s15328007sem0703_1 · Cited by 332 · see citing works
Estimation of Linear Models with Incomplete Data
Allison, P. D. (1987) · Sociological Methodology · doi:10.2307/271029 · Cited by 271 · see citing works
Byrne, B. M. (1993) · Journal of Occupational and Organizational Psychology · doi:10.1111/j.2044-8325.1993.tb00532.x · Cited by 251 · see citing works
Self-citationThe Detection and Correction of Specification Errors in Structural Equation Models
Saris, W. E., Satorra, A., & Sörbom, D. (1987) · Sociological Methodology · doi:10.2307/271030 · Cited by 241 · see citing works
Bootstrapping Techniques in Analysis of Mean and Covariance Structures
Yung, Y., & Bentler, P. M. (1996) · Dialnet (Universidad de la Rioja) · Cited by 215 · see citing works
Covariance and correlation structure analyses with continuous and polytomous variables
Lee, S., Poon, W., & Bentler, P. M. (1994) · Lecture notes-monograph series · doi:10.1214/lnms/1215463807 · Cited by 9 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Development and validation of the job crafting scale
Tims, M., Bakker, A. B., & Derks, D. (2012) · Journal of Vocational Behavior · doi:10.1016/j.jvb.2011.05.009 · Cited by 2,060 · see citing works
ITC Guidelines for Translating and Adapting Tests (Second Edition)
(2018) · International Journal of Testing · doi:10.1080/15305058.2017.1398166 · Cited by 789 · see citing works
Heeren, A., Douilliez, C., Peschard, V., Debrauwere, L., & Philippot, P. (2011) · European Review of Applied Psychology · doi:10.1016/j.erap.2011.02.001 · Cited by 197 · see citing works
Emotions elicited by local food consumption, memories, place attachment and behavioural intentions
Sthapit, E., Björk, P., & Coudounaris, D. N. (2017) · Anatolia · doi:10.1080/13032917.2017.1322111 · Cited by 167 · see citing works
Irrational Delay Revisited: Examining Five Procrastination Scales in a Global Sample
Svartdal, F., & Steel, P. (2017) · Frontiers in Psychology · doi:10.3389/fpsyg.2017.01927 · Cited by 107 · see citing works
On the Measurement of Procrastination: Comparing Two Scales in Six European Countries
Svartdal, F., Pfuhl, G., Nordby, K., Foschi, G., Klingsieck, K. B., Rozental, A., Carlbring, P., Lindblom-Ylänne, S., & Rębkowska, K. (2016) · Frontiers in Psychology · doi:10.3389/fpsyg.2016.01307 · Cited by 99 · see citing works
The development of the short defeat and entrapment scale (SDES).
Griffiths, A. W., Wood, A. M., Maltby, J., Taylor, P. J., Panagioti, M., & Tai, S. (2015) · Psychological Assessment · doi:10.1037/pas0000110 · Cited by 91 · see citing works
Health and Wellness Tourists’ Motivation and Behavior Intention: The Role of Perceived Value
Gan, T., Zheng, J., Li, W., Li, J., & Shen, J. (2023) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph20054339 · Cited by 69 · see citing works
Psychological predictors of addictive social networking sites use: the case of Serbia
Milošević-Đorđević, J. S., & Žeželj, I. L. (2014) · Computers in Human Behavior · doi:10.1016/j.chb.2013.12.018 · Cited by 59 · see citing works
Reverse mentoring, job crafting and work-outcomes: the mediating role of work engagement
Garg, N., Murphy, W., & Singh, P. (2021) · Career Development International · doi:10.1108/cdi-09-2020-0233 · Cited by 57 · see citing works
Smith, M. M., Saklofske, D. H., Yan, G., & Sherry, S. B. (2015) · Personality and Individual Differences · doi:10.1016/j.paid.2014.09.006 · Cited by 57 · see citing works
Biglan, A., Gau, J. M., Jones, L. B., Hinds, E., Rusby, J. C., Cody, C., & Sprague, J. (2015) · Journal of Contextual Behavioral Science · doi:10.1016/j.jcbs.2014.12.001 · Cited by 52 · see citing works
Turner, J. C., Gray, D. L., Anderman, L. H., Dawson, H. S., & Anderman, E. M. (2013) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2013.06.003 · Cited by 46 · see citing works
Heyne, D. A., Vreeke, L. J., Maric, M., Boelens, H., & Van Widenfelt, B. M. (2017) · Journal of Emotional and Behavioral Disorders · doi:10.1177/1063426616661701 · Cited by 39 · see citing works
Living Well with Pain: Development and Preliminary Evaluation of the Valued Living Scale
Jensen, M. P., Vowles, K. E., Johnson, L. E., & Gertz, K. J. (2015) · Pain Medicine · doi:10.1111/pme.12802 · Cited by 33 · see citing works
Li, C., Jiang, S., & Yin, X. (2018) · Journal of Child and Family Studies · doi:10.1007/s10826-017-0960-9 · Cited by 24 · see citing works
Wagley, N., Marks, R. A., Bedore, L. M., & Kovelman, I. (2022) · Child Development · doi:10.1111/cdev.13748 · Cited by 22 · see citing works
Guerra, M. P., Lencastre, L., Silva, E., & Teixeira, P. M. (2017) · Cogent Psychology · doi:10.1080/23311908.2017.1286747 · Cited by 21 · see citing works
Childhood Trauma and Suicide: The Mediating Effect of Stress and Sleep
Wu, R., Zhu, H., Wu, M.-Y., Wang, G.-H., & Jiang, C.-L. (2022) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph19148493 · Cited by 20 · see citing works
Cosima, T., Ahmed, E. M., & Elfaki, K. E. (2025) · Quality & Quantity · doi:10.1007/s11135-025-02250-3
“Outliers can indicate individuals or groups with different behaviour from most in the dataset (Grubbs 1969; Byrne 2001 ; Tabachnick and Fidell 2013 ).”
- Authors
- Byrne, B. M.
- Affiliations
- University of Ottawa (CA)
- Corresponding author
- Byrne, Barbara M.
- Venue
- International Journal of Testing
- Publisher
- Informa UK Limited
- Published
- 2001-03
- Volume
- 1
- Issue
- 1
- Pages
- 55-86
- ISSN
- 1530-5058 (ISSN-L)
- 1532-7574
- OpenAlex
- W2061869679
- Cited by
- 1,725
- References
- 24
- Citations by year
- 2026: 101 · 2025: 157 · 2024: 192 · 2023: 168 · 2022: 183 · 2021: 153 · 2020: 150 · 2019: 113 · 2018: 60 · 2017: 90 · 2016: 66 · 2015: 68 · 2014: 68 · 2013: 39 · 2012: 27
- FWCI
- 3.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Testing (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- Amos, EQS, LISREL, confirmatory factor analysis, factorial validity, measurement instrument validation, model misspecification, non-normal data, categorical data, missing data, model estimation
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.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review