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To what extent can communalities reduce rank?

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  • Louis Guttman

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  • Louis Guttman, 1958. "To what extent can communalities reduce rank?," Psychometrika, Springer;The Psychometric Society, vol. 23(4), pages 297-308, December.
    • Handle: RePEc:spr:psycho:v:23:y:1958:i:4:p:297-308
    DOI: 10.1007/BF02289780
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    References listed on IDEAS

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    1. Louis Guttman, 1955. "A generalized simplex for factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 20(3), pages 173-192, September.
    2. Louis Guttman, 1954. "Some necessary conditions for common-factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 19(2), pages 149-161, June.
    3. Frederic Lord, 1956. "A study of speed factors in tests and academic grades," Psychometrika, Springer;The Psychometric Society, vol. 21(1), pages 31-50, March.
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    Cited by:

    1. Bai, Jushan & Ng, Serena, 2019. "Rank regularized estimation of approximate factor models," Journal of Econometrics, Elsevier, vol. 212(1), pages 78-96.
    2. Harold Bechtoldt, 1961. "An empirical study of the factor analysis stability hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 26(4), pages 405-432, December.
    3. Jushan Bai & Serena Ng, 2017. "Principal Components and Regularized Estimation of Factor Models," Papers 1708.08137, arXiv.org, revised Nov 2017.
    4. Jos Berge & Henk Kiers, 1999. "Retrieving the correlation matrix from a truncated PCA solution: The inverse principal component problem," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 317-324, September.
    5. Paul Bekker & Jan Leeuw, 1987. "The rank of reduced dispersion matrices," Psychometrika, Springer;The Psychometric Society, vol. 52(1), pages 125-135, March.
    6. 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.
    7. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.

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