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The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality

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  • Jos Berge
  • Gregor Sočan

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  • Jos Berge & Gregor Sočan, 2004. "The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality," Psychometrika, Springer;The Psychometric Society, vol. 69(4), pages 613-625, December.
    • Handle: RePEc:spr:psycho:v:69:y:2004:i:4:p:613-625
    DOI: 10.1007/BF02289858
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    References listed on IDEAS

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    1. W. Nicewander, 1990. "A latent-trait based reliability estimate and upper bound," Psychometrika, Springer;The Psychometric Society, vol. 55(1), pages 65-74, March.
    2. J. Zyl & H. Neudecker & D. Nel, 2000. "On the distribution of the maximum likelihood estimator of Cronbach's alpha," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 271-280, September.
    3. 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.
    4. Louis Guttman, 1945. "A basis for analyzing test-retest reliability," Psychometrika, Springer;The Psychometric Society, vol. 10(4), pages 255-282, December.
    5. De Leeuw, Jan, 1983. "Models and methods for the analysis of correlation coefficients," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 113-137.
    6. 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.
    7. Lee Cronbach, 1951. "Coefficient alpha and the internal structure of tests," Psychometrika, Springer;The Psychometric Society, vol. 16(3), pages 297-334, September.
    8. 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.
    9. Paul Bekker & Jan Leeuw, 1987. "The rank of reduced dispersion matrices," Psychometrika, Springer;The Psychometric Society, vol. 52(1), pages 125-135, March.
    10. Jos Berge & Henk Kiers, 1991. "A numerical approach to the approximate and the exact minimum rank of a covariance matrix," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 309-315, June.
    11. Paul Jackson & Christian Agunwamba, 1977. "Lower bounds for the reliability of the total score on a test composed of non-homogeneous items: I: Algebraic lower bounds," Psychometrika, Springer;The Psychometric Society, vol. 42(4), pages 567-578, December.
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    4. Tyler Hunt & Peter Bentler, 2015. "Quantile Lower Bounds to Reliability Based on Locally Optimal Splits," Psychometrika, Springer;The Psychometric Society, vol. 80(1), pages 182-195, March.
    5. 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.
    6. 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.
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