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Alpha, Dimension-Free, and Model-Based Internal Consistency Reliability

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  • Peter Bentler

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  • Peter Bentler, 2009. "Alpha, Dimension-Free, and Model-Based Internal Consistency Reliability," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 137-143, March.
    • Handle: RePEc:spr:psycho:v:74:y:2009:i:1:p:137-143
    DOI: 10.1007/s11336-008-9100-1
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    References listed on IDEAS

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    1. Alexander Shapiro & Jos Berge, 2000. "The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 413-425, September.
    2. Bengt Muthén, 1984. "A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 115-132, March.
    3. P. Bentler & J. Woodward, 1980. "Inequalities among lower bounds to reliability: With applications to test construction and factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 45(2), pages 249-267, June.
    4. Alexander Shapiro, 1982. "Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 187-199, June.
    5. P. Bentler, 1968. "Alpha-maximized factor analysis (alphamax): Its relation to alpha and canonical factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 33(3), pages 335-345, September.
    6. Brian Woodhouse & Paul Jackson, 1977. "Lower bounds for the reliability of the total score on a test composed of non-homogeneous items: II: A search procedure to locate the greatest lower bound," Psychometrika, Springer;The Psychometric Society, vol. 42(4), pages 579-591, December.
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    Cited by:

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    2. Jeanne A. Teresi & Katja Ocepek-Welikson & John A. Toner & Marjorie Kleinman & Mildred Ramirez & Joseph P. Eimicke & Barry J. Gurland & Albert Siu, 2017. "Methodological Issues in Measuring Subjective Well-Being and Quality-of-Life: Applications to Assessment of Affect in Older, Chronically and Cognitively Impaired, Ethnically Diverse Groups Using the F," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 12(2), pages 251-288, June.
    3. Stephen R. Martin & Philippe Rast, 2022. "The Reliability Factor: Modeling Individual Reliability with Multiple Items from a Single Assessment," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1318-1342, December.
    4. Maciej Koniewski & Ilona Barańska & Violetta Kijowska & Jenny T. Steen & Anne B. Wichmann & Sheila Payne & Giovanni Gambassi & Nele Den Noortgate & Harriet Finne-Soveri & Tinne Smets & Lieve den Block, 2022. "Measuring relatives’ perceptions of end-of-life communication with physicians in five countries: a psychometric analysis," European Journal of Ageing, Springer, vol. 19(4), pages 1561-1570, December.
    5. Peter M. Bentler, 2016. "Covariate-free and Covariate-dependent Reliability," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 907-920, December.
    6. De Schryver, Maarten & Hussey, Ian & De Neve, Jan & Cartwright, Aoife & Barnes-Holmes, Dermot, 2017. "The PI: An alternative scoring algorithm for the IRAP using a probabilistic semiparametric effect measure," OSF Preprints xaqn6, Center for Open Science.
    7. Manuel García-Alonso & Miguel Ángel Gallardo-Vigil & Patricia Melgar Alcantud & Adrián Segura-Robles, 2020. "Social axioms on high school students in the North African context: Validation and fit of the SAS-II," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-13, November.
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    9. David J. Hessen, 2017. "Lower Bounds to the Reliabilities of Factor Score Estimators," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 648-659, September.
    10. Klaas Sijtsma & Julius M. Pfadt, 2021. "Part II: On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha: Discussing Lower Bounds and Correlated Errors," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 843-860, December.
    11. Markus Pauly & Maria Umlauft & Ali Ünlü, 2018. "Resampling-Based Inference Methods for Comparing Two Coefficients Alpha," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 203-222, March.
    12. Manohar, Sridhar & Paul, Justin & Strong, Carolyn & Mittal, Amit, 2023. "INNOSERV: Generalized scale for perceived service innovation," Journal of Business Research, Elsevier, vol. 160(C).
    13. Kannan, Viji Diane & Brown, Theodore M. & Kunitz, Stephen J. & Chapman, Benjamin P., 2019. "Political parties and mortality: The role of social status and personal responsibility," Social Science & Medicine, Elsevier, vol. 223(C), pages 1-7.
    14. Jules L. Ellis, 2021. "A Test Can Have Multiple Reliabilities," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 869-876, December.
    15. Piotr Koc, 2021. "Measuring Non-electoral Political Participation: Bi-factor Model as a Tool to Extract Dimensions," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 156(1), pages 271-287, July.
    16. Schroeders, Ulrich & Watrin, Luc & Wilhelm, Oliver, 2021. "Age-related nuances in knowledge assessment," Intelligence, Elsevier, vol. 85(C).
    17. Lindsey W. Vilca & Evelyn L. Chambi-Mamani & Emely D. Quispe-Kana & Mónica Hernández-López & Tomás Caycho-Rodríguez, 2022. "Functioning of the EROS-R Scale in a Clinical Sample of Psychiatric Patients: New Psychometric Evidence from the Classical Test Theory and the Item Response Theory," IJERPH, MDPI, vol. 19(16), pages 1-14, August.
    18. Tiina Latvala & Matthew Browne & Matthew Rockloff & Anne H. Salonen, 2021. "18-Item Version of the Short Gambling Harm Screen (SGHS-18): Validation of Screen for Assessing Gambling-Related Harm among Finnish Population," IJERPH, MDPI, vol. 18(21), pages 1-13, November.
    19. Jiaxi Zhang & Meng Cui & Wei Wang & Huijie Lu & Qing Wu & Xia Zhu & Danmin Miao & Yan Zhang & Xi Feng & Wei Xiao, 2014. "The Coexistence of Coping Resources and Specific Coping Styles in Stress: Evidence from Full Information Item Bifactor Analysis," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-11, May.
    20. Zhengguo Gu & Wilco H. M. Emons & Klaas Sijtsma, 2021. "Estimating Difference-Score Reliability in Pretest–Posttest Settings," Journal of Educational and Behavioral Statistics, , vol. 46(5), pages 592-610, October.
    21. Peter M. Bentler, 2021. "Alpha, FACTT, and Beyond," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 861-868, December.

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