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On Covariance Estimators of Factor Loadings in Factor Analysis

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  • Hayashi, Kentaro
  • Kumar Sen, Pranab

Abstract

We report a matrix expression for the covariance matrix of MLEs of factor loadings in factor analysis. We then derive the analytical formula for covariance matrix of the covariance estimators of MLEs of factor loadings by obtaining the matrix of partial derivatives, which maps the differential of sample covariance matrix (in vector form) into the differential of the covariance estimators.

Suggested Citation

  • Hayashi, Kentaro & Kumar Sen, Pranab, 1998. "On Covariance Estimators of Factor Loadings in Factor Analysis," Journal of Multivariate Analysis, Elsevier, vol. 66(1), pages 38-45, July.
    • Handle: RePEc:eee:jmvana:v:66:y:1998:i:1:p:38-45
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    References listed on IDEAS

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    1. Ihara, Masamori & Kano, Yutaka, 1992. "Asymptotic equivalence of unique variance estimators in marginal and conditional factor analysis models," Statistics & Probability Letters, Elsevier, vol. 14(5), pages 337-341, July.
    2. R. Jennrich & D. Clarkson, 1980. "A feasible method for standard errors of estimate in maximum likelihood factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 45(2), pages 237-247, June.
    3. Robert Jennrich & Dorothy Thayer, 1973. "A note on Lawley's formulas for standard errors in maximum likelihood factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 571-580, December.
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    Cited by:

    1. Kentaro Hayashi & Yiu-Fai Yung, 1999. "Standard errors for the class of orthomax-rotated factor loadings: Some matrix results," Psychometrika, Springer;The Psychometric Society, vol. 64(4), pages 451-460, December.
    2. Hsiao, Cheng, 2018. "Panel models with interactive effects," Journal of Econometrics, Elsevier, vol. 206(2), pages 645-673.

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