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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. 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.
    2. 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.
    3. 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.
    4. 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.
    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. 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.
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    7. 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.
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    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.
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    13. 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.
    14. Jules L. Ellis, 2021. "A Test Can Have Multiple Reliabilities," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 869-876, December.
    15. Peter M. Bentler, 2021. "Alpha, FACTT, and Beyond," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 861-868, December.
    16. 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.
    17. 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.
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    19. Schroeders, Ulrich & Watrin, Luc & Wilhelm, Oliver, 2021. "Age-related nuances in knowledge assessment," Intelligence, Elsevier, vol. 85(C).
    20. Peter M. Bentler, 2016. "Covariate-free and Covariate-dependent Reliability," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 907-920, December.
    21. 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.

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