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Computational aspects of the greatest lower bound to the reliability and constrained minimum trace factor analysis

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  • Jos Berge
  • Tom Snijders
  • Frits Zegers

Abstract

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Suggested Citation

  • Jos Berge & Tom Snijders & Frits Zegers, 1981. "Computational aspects of the greatest lower bound to the reliability and constrained minimum trace factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 46(2), pages 201-213, June.
  • Handle: RePEc:spr:psycho:v:46:y:1981:i:2:p:201-213
    DOI: 10.1007/BF02293900
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    References listed on IDEAS

    as
    1. Giacomo Riccia & Alexander Shapiro, 1982. "Minimum rank and minimum trace of covariance matrices," Psychometrika, Springer;The Psychometric Society, vol. 47(4), pages 443-448, December.
    2. Louis Guttman, 1945. "A basis for analyzing test-retest reliability," Psychometrika, Springer;The Psychometric Society, vol. 10(4), pages 255-282, December.
    3. W. Alan Nicewander, 1975. "A relationship between harris factors and guttman's sixth lower bound to reliability," Psychometrika, Springer;The Psychometric Society, vol. 40(2), pages 197-203, June.
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    Citations

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    Cited by:

    1. Klaas Sijtsma, 2012. "Future of Psychometrics: Ask What Psychometrics Can Do for Psychology," Psychometrika, Springer;The Psychometric Society, vol. 77(1), pages 4-20, January.
    2. Knott, Martin, 2005. "A measure of independence for a multivariate normal distribution and some connections with factor analysis," Journal of Multivariate Analysis, Elsevier, vol. 96(2), pages 374-383, October.
    3. 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.
    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. Klaas Sijtsma, 2009. "On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 107-120, March.
    6. 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.
    7. Peter M. Bentler, 2021. "Alpha, FACTT, and Beyond," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 861-868, December.

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