Estimation of composite reliability for congeneric measures
Abstract
A structural equation model is described that permits estimation of the reliability index and coefficient of a composite test for congeneric measures. The method is also helpful in exploring the factorial structure of an item set, and its use in scale reliability estimation and development is illustrated. The modeling. estimator of composite reliability it yields does not possess the general underestimation property of Cronbach's coefficient a.
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McDonald's omega and composite reliability values ≥ 0.70 were interpreted as acceptable indicators of reliability.
“Values of both coefficients ≥ 0.70 were interpreted as acceptable indicators of reliability [60, 61].”
From Psychometric validation and measurement invariance of the Health-Promoting Lifestyle Profile II in Honduran university students (2025) · cites this paper as [60]
CR values ranged 0.758-0.884, meeting threshold 0.7.
“The composite reliability (CR) values for all latent variables ranged between 0.758–0.884, which meets the acceptable threshold of CR value of 0.7 suggested by Raykov [52].”
From Effects of attractions and social attributes on peoples' usage intention and media dependence towards chatbot: The mediating role of parasocial interaction and emotional support (2025) · cites this paper as Raykov [52]
A more accurate estimator free of those assumptions was used here.
“A more accurate estimator free of those assumptions is [69], [70], which was used here.”
From The Role of Conspiracist Ideation and Worldviews in Predicting Rejection of Science (2013) · cites this paper as [70]
Cites
Coefficient Alpha and the Internal Structure of Tests
Cronbach, L. J. (1951) · Psychometrika · doi:10.1007/bf02310555 · Cited by 43,931 · see citing works
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
EQS : structural equations program manual
Bentler, P. M. (1989) · Medical Entomology and Zoology · Cited by 9,669 · see citing works
Rozeboom, W. W., Lord, F. M., Novick, M. R., & Birnbaum, A. (1969) · American Educational Research Journal · doi:10.2307/1162101 · Cited by 8,012 · see citing works
Curran, P. J., West, S. G., & Finch, J. F. (1996) · Psychological Methods · doi:10.1037/1082-989x.1.1.16 · Cited by 5,512 · see citing works
Conventional wisdom on measurement: A structural equation perspective.
Bollen, K., & Lennox, R. (1991) · Psychological Bulletin · doi:10.1037/0033-2909.110.2.305 · Cited by 3,618 · see citing works
Introduction to Measurement Theory
Allen, M. J. (1979) · Cited by 1,971 · 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
Statistical analysis of sets of congeneric tests
Jöreskog, K. G. (1971) · Psychometrika · doi:10.1007/bf02291393 · Cited by 1,481 · see citing works
STATISTICAL ANALYSIS OF SETS OF CONGENERIC TESTS*
Jöreskog, K. G. (1969) · ETS Research Bulletin Series · doi:10.1002/j.2333-8504.1969.tb00777.x · Cited by 1,205 · see citing works
SPSS 6.1 base system user's guide
Norušis, M. J. (1990) · Medical Entomology and Zoology · Cited by 625 · see citing works
The dimensionality of tests and items
McDonald, R. P. (1981) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/j.2044-8317.1981.tb00621.x · Cited by 510 · see citing works
Kaiser, H. F., & Caffrey, J. (1965) · Psychometrika · doi:10.1007/bf02289743 · Cited by 488 · see citing works
Miller, M. B. (1995) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519509540013 · Cited by 379 · see citing works
Using Phantom and Imaginary Latent Variables to Parameterize Constraints in Linear Structural Models
Rindskopf, D. M. (1984) · Psychometrika · doi:10.1007/bf02294204 · Cited by 238 · see citing works
Issues in applied structural equation modeling research
Raykov, T., & Widaman, K. F. (1995) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519509540017 · Cited by 207 · see citing works
Self-citationMultivariate group comparisons of variable systems: MANOVA and structural equation modeling.
Cole, D. A., Maxwell, S. E., Arvey, R. D., & Eduardo Salas, A. (1993) · Psychological Bulletin · doi:10.1037/0033-2909.114.1.174 · Cited by 178 · see citing works
Parameterizing Inequality Constraints on Unique Variances in Linear Structural Models
Rindskopf, D. M. (1983) · Psychometrika · doi:10.1007/bf02314677 · Cited by 92 · see citing works
Kaplan, D. M. (1989) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr2401_3 · Cited by 73 · see citing works
A Note on Using and Unbiased Weight Matrix in the ADF Test Statistic
Chan, W., Yung, Y., & Bentler, P. M. (1995) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr3004_1 · Cited by 15 · see citing works
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Use Omega Rather than Cronbach’s Alpha for Estimating Reliability. But…
Hayes, A. F., & Coutts, J. J. (2020) · Communication Methods and Measures · doi:10.1080/19312458.2020.1718629 · Cited by 2,675 · see citing works
Thanks coefficient alpha, we’ll take it from here.
McNeish, D. (2018) · Psychological Methods · doi:10.1037/met0000144 · Cited by 2,533 · see citing works
Cheung, G. W., Cooper-Thomas, H. D., Lau, R. S., & Wang, L. C. (2024) · Asia Pacific Journal of Management · doi:10.1007/s10490-023-09871-y · Cited by 2,262 · see citing works
“…values greater than 0.7 or 0.8 A more appropriate reliability measure for SEM-based studies is construct reliability (CR; Fornell & Larcker, 1981; Jöreskog, 1971), also known as McDonald’s omega (McDonald, 1999), composite reliability (Raykov, 1997), or congeneric reliability (Graham, 2006).”
InfluentialScoring and Modeling Psychological Measures in the Presence of Multidimensionality
Reise, S. P., Bonifay, W. E., & Haviland, M. G. (2013) · Journal of Personality Assessment · doi:10.1080/00223891.2012.725437 · Cited by 1,069 · see citing works
Bartholomew, K. J., Ntoumanis, N., Ryan, R. M., Bosch, J. A., & Thøgersen-Ntoumani, C. (2011) · Personality and Social Psychology Bulletin · doi:10.1177/0146167211413125 · Cited by 1,064 · see citing works
The Role of Conspiracist Ideation and Worldviews in Predicting Rejection of Science
Lewandowsky, S., Gignac, G. E., & Oberauer, K. (2013) · PLoS ONE · doi:10.1371/journal.pone.0075637 · Cited by 693 · see citing works
Reporting Analyses of Covariance Structures
Boomsma, A. (2000) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1207/s15328007sem0703_6 · Cited by 655 · see citing works
Ponterotto, J. G., & Ruckdeschel, D. E. (2007) · Perceptual and Motor Skills · doi:10.2466/pms.105.3.997-1014 · Cited by 555 · see citing works
Validation and Psychometric Evaluation of the Italian Version of the Fear of COVID-19 Scale
Soraci, P., Ferrari, A., Abbiati, F. A., Del Fante, E., De Pace, R., Urso, A., & Griffiths, M. D. (2022) · International Journal of Mental Health and Addiction · doi:10.1007/s11469-020-00277-1 · Cited by 427 · see citing works
“To analyze the reliability of the measure and internal consistency, Cronbach’s alpha, Factor Determinacy Index, and composite reliability (Raykov 1997) were used.”
MethodNeff, K. D., Tóth-Király, I., Yarnell, L. M., Arimitsu, K., Castilho, P., Ghorbani, N., Guo, H. X., Hirsch, J. K., Hupfeld, J., Hutz, C. S., et al. (2019) · Psychological Assessment · doi:10.1037/pas0000629 · Cited by 397 · see citing works
Johnson, M. O., Neilands, T. B., Dilworth, S. E., Morin, S. F., Remien, R. H., & Chesney, M. A. (2007) · Journal of Behavioral Medicine · doi:10.1007/s10865-007-9118-3 · Cited by 352 · see citing works
Mobile health technology adoption across generations: Narrowing the digital divide
Fox, G., & Connolly, R. (2018) · Information Systems Journal · doi:10.1111/isj.12179 · Cited by 344 · see citing works
Hyland, P., Shevlin, M., Brewin, C. R., Cloitre, M., Downes, A. J., Jumbe, S., Karatzias, T., Bisson, J. I., & Roberts, N. P. (2017) · Acta Psychiatrica Scandinavica · doi:10.1111/acps.12771 · Cited by 295 · see citing works
Kelley, K., & Pornprasertmanit, S. (2016) · Psychological Methods · doi:10.1037/a0040086 · Cited by 259 · see citing works
Romer, D., Duckworth, A. L., Sznitman, S., & Park, S. (2010) · Prevention Science · doi:10.1007/s11121-010-0171-8 · Cited by 264 · see citing works
Bifactor Modeling and the Estimation of Model-Based Reliability in the WAIS-IV
Gignac, G. E., & Watkins, M. W. (2013) · Multivariate Behavioral Research · doi:10.1080/00273171.2013.804398 · Cited by 200 · see citing works
Pandolfi, V., Magyar, C. I., & Dill, C. A. (2012) · Research in Autism Spectrum Disorders · doi:10.1016/j.rasd.2011.03.009 · Cited by 175 · see citing works
Boysan, M., Guzel Ozdemir, P., Ozdemir, O., Selvi, Y., Yilmaz, E., & Kaya, N. (2017) · Psychiatry and Clinical Psychopharmacology · doi:10.1080/24750573.2017.1342769 · Cited by 170 · see citing works
Haselgruber, A., Sölva, K., & Lueger‐Schuster, B. (2020) · Acta Psychiatrica Scandinavica · doi:10.1111/acps.13100 · Cited by 132 · see citing works
Osborne, R. H., Elsworth, G. R., Sprangers, M. A. G., Oort, F. J., & Hopper, J. L. (2004) · Quality of Life Research · doi:10.1023/b:qure.0000015292.56268.e7 · Cited by 119 · see citing works
Acarturk, C., McGrath, M., Roberts, B., Ilkkursun, Z., Cuijpers, P., Sijbrandij, M., Sondorp, E., Ventevogel, P., McKee, M., Fuhr, D. C., et al. (2021) · Social Psychiatry and Psychiatric Epidemiology · doi:10.1007/s00127-020-01941-6 · Cited by 115 · see citing works
Montero-Marin, J., Zubiaga, F., Cereceda, M., Piva Demarzo, M. M., Trenc, P., & Garcia-Campayo, J. (2016) · PLOS ONE · doi:10.1371/journal.pone.0157499 · Cited by 110 · see citing works
The role of belief in occurrence within autobiographical memory.
Scoboria, A., Jackson, D. L., Talarico, J., Hanczakowski, M., Wysman, L., & Mazzoni, G. (2014) · Journal of Experimental Psychology: General · doi:10.1037/a0034110 · Cited by 105 · see citing works
Zhang, C.-Q., Chung, P.-K., Si, G., & Liu, J. D. (2014) · Measurement and Evaluation in Counseling and Development · doi:10.1177/0748175614538064 · Cited by 96 · see citing works
Boduszek, D., Debowska, A., Dhingra, K., & DeLisi, M. (2016) · Journal of Criminal Justice · doi:10.1016/j.jcrimjus.2016.02.004 · Cited by 84 · see citing works
Bőthe, B., Koós, M., Tóth-Király, I., Orosz, G., & Demetrovics, Z. (2019) · The Journal of Sexual Medicine · doi:10.1016/j.jsxm.2019.01.312 · Cited by 80 · see citing works
Schuler, M., Musekamp, G., Faller, H., Ehlebracht-König, I., Gutenbrunner, C., Kirchhof, R., Bengel, J., Nolte, S., Osborne, R. H., & Schwarze, M. (2013) · Quality of Life Research · doi:10.1007/s11136-012-0268-6 · Cited by 77 · see citing works
Chapman, B. P. (2007) · Journal of Personality Assessment · doi:10.1080/00223890701268082 · Cited by 77 · see citing works
Willmott, D., Boduszek, D., Debowska, A., & Woodfield, R. (2018) · Journal of Criminal Justice · doi:10.1016/j.jcrimjus.2018.03.004 · Cited by 75 · see citing works
Norberg, M. M., Crone, C., Kwok, C., & Grisham, J. R. (2018) · Journal of Behavioral Addictions · doi:10.1556/2006.7.2018.08 · Cited by 68 · see citing works
Gilbar, O., Hyland, P., Cloitre, M., & Dekel, R. (2018) · Journal of Anxiety Disorders · doi:10.1016/j.janxdis.2018.01.004 · Cited by 66 · see citing works
Montero-Marín, J., Gaete, J., Demarzo, M., Rodero, B., Lopez, L. C. S., & García-Campayo, J. (2016) · Frontiers in Psychology · doi:10.3389/fpsyg.2016.01281 · Cited by 66 · see citing works
Reynolds Adolescent Depression Scale-second edition: a reliable and useful instrument
Osman, A., Gutierrez, P. M., Bagge, C. L., Fang, Q., & Emmerich, A. (2010) · Journal of Clinical Psychology · doi:10.1002/jclp.20727 · Cited by 62 · see citing works
Law, E. F., Fisher, E., Howard, W. J., Levy, R., Ritterband, L., & Palermo, T. M. (2017) · Pain · doi:10.1097/j.pain.0000000000000999 · Cited by 61 · see citing works
24-Hour Movement Behaviors and Impulsivity
Guerrero, M. D., Barnes, J. D., Walsh, J. J., Chaput, J.-P., Tremblay, M. S., & Goldfield, G. S. (2019) · Pediatrics · doi:10.1542/peds.2019-0187 · Cited by 58 · see citing works
Hanley, A. W., de Vibe, M., Solhaug, I., Farb, N., Goldin, P. R., Gross, J. J., & Garland, E. L. (2021) · Stress and Health · doi:10.1002/smi.3035 · Cited by 56 · see citing works
Diotaiuti, P., Valente, G., Mancone, S., Grambone, A., & Chirico, A. (2021) · Frontiers in Psychology · doi:10.3389/fpsyg.2021.773363 · Cited by 55 · see citing works
Brunet, J., Gunnell, K. E., Teixeira, P., Sabiston, C. M., & Bélanger, M. (2016) · Journal of Sport and Exercise Psychology · doi:10.1123/jsep.2016-0256 · Cited by 50 · see citing works
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Klingsieck, K. B. (2018) · Zeitschrift für Pädagogische Psychologie · doi:10.1024/1010-0652/a000230 · Cited by 47 · see citing works
Sampasa-Kanyinga, H., Chaput, J.-P., Goldfield, G. S., Janssen, I., Wang, J., Hamilton, H. A., Ferro, M. A., & Colman, I. (2021) · The Canadian Journal of Psychiatry · doi:10.1177/0706743720970863 · Cited by 39 · see citing works
Zhang, K., Xie, Y., Chen, D., Ji, Z., & Wang, J. (2025) · BMC Psychology · doi:10.1186/s40359-025-03284-w · Cited by 38 · see citing works
Debowska, A., Boduszek, D., Dhingra, K., Sherretts, N., Willmott, D., & DeLisi, M. (2018) · Deviant Behavior · doi:10.1080/01639625.2016.1266887 · Cited by 26 · see citing works
Zhang, C.-Q., Chung, P.-K., Si, G., & Gucciardi, D. F. (2016) · Psychology of sport and exercise · doi:10.1016/j.psychsport.2016.02.006 · Cited by 21 · see citing works
Fatima, S., Ali, M., & Saad, M. I. (2022) · Journal of Applied Research in Higher Education · doi:10.1108/jarhe-07-2020-0209 · Cited by 24 · see citing works
Fox, G., van der Werff, L., Rosati, P., & Lynn, T. (2024) · JMIR mHealth and uHealth · doi:10.2196/48700 · Cited by 13 · see citing works
Malafanti, A., Yotsidi, V., Sideridis, G., Giannouli, E., Galanaki, E. P., & Malogiannis, I. (2024) · Acta Psychologica · doi:10.1016/j.actpsy.2024.104181 · Cited by 9 · see citing works
Castillo-Díaz, M. A., & Periañez, C. A. H. (2025) · BMC Public Health · doi:10.1186/s12889-025-25899-9 · Cited by 4 · see citing works
“Values of both coefficients ≥ 0.70 were interpreted as acceptable indicators of reliability [60, 61].”
Influential
- Authors
- Raykov, T.
- Affiliations
- The University of Melbourne (AU)
- Corresponding author
- Raykov, Tenko
- ORCID
- Raykov, Tenko
- Venue
- Applied Psychological Measurement
- Publisher
- SAGE Publications
- Published
- 1997-06
- Volume
- 21
- Issue
- 2
- Pages
- 173-184
- ISSN
- 0146-6216 (ISSN-L)
- 1552-3497
- OpenAlex
- W2061288618
- Cited by
- 1,775
- References
- 21
- Citations by year
- 2026: 164 · 2025: 112 · 2024: 143 · 2023: 160 · 2022: 141 · 2021: 152 · 2020: 150 · 2019: 105 · 2018: 129 · 2017: 92 · 2016: 79 · 2015: 51 · 2014: 44 · 2013: 44 · 2012: 38
- FWCI
- 9.04
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Applied Psychological Measurement (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Reliability and Agreement in Measurement
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Mental Health Research Topics
- Keywords
- composite reliability, structural equation modeling, scale reliability, Cronbach's alpha, factor structure, scale development, reliability estimation
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