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Recent Developments in the Factor Analysis of Categorical Variables

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  • Robert J. Mislevy

Abstract

Despite known shortcomings of the procedure, exploratory factor analysis of dichotomous test items has been limited, until recently, to unweighted analyses of matrices of tetrachoric correlations. Superior methods have begun to appear in the literature, in professional symposia, and in computer programs. This paper places these developments in a unified framework, from a review of the classical common factor model for measured variables through generalized least squares and marginal maximum likelihood solutions for dichotomous data. Further extensions of the model are also reported as work in progress.

Suggested Citation

  • Robert J. Mislevy, 1986. "Recent Developments in the Factor Analysis of Categorical Variables," Journal of Educational and Behavioral Statistics, , vol. 11(1), pages 3-31, March.
  • Handle: RePEc:sae:jedbes:v:11:y:1986:i:1:p:3-31
    DOI: 10.3102/10769986011001003
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    Cited by:

    1. Anders Skrondal & Sophia Rabeā€Hesketh, 2009. "Prediction in multilevel generalized linear models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(3), pages 659-687, June.

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