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Factor Analysis and Principal Components

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Author Info
Schneeweiss, H.
Mathes, H.
Abstract

The principal components of a vector of random variables are related to the common factors of a factor analysis model for this vector. Conditions are presented under which components and factors as well as factor proxies come close to each other. A similar analysis is carried out for the matrices of loadings of principal components and factor analysis.

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File URL: http://www.sciencedirect.com/science/article/B6WK9-45S952J-19/2/3ad8ba11a205a604808fd8d3a65feefc
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Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 55 (1995)
Issue (Month): 1 (October)
Pages: 105-124
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:eee:jmvana:v:55:y:1995:i:1:p:105-124

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  1. Wim Krijnen & Theo Dijkstra & Richard Gill, 1998. "Conditions for factor (in)determinacy in factor analysis," Psychometrika, Springer, vol. 63(4), pages 359-367, December. [Downloadable!] (restricted)
  2. Wim Krijnen, 2006. "Necessary Conditions for Mean Square Convergence of the Best Linear Factor Predictor," Psychometrika, Springer, vol. 71(3), pages 593-599, September. [Downloadable!] (restricted)
  3. Haruhiko Ogasawara, 2000. "Some relationships between factors and components," Psychometrika, Springer, vol. 65(2), pages 167-185, June. [Downloadable!] (restricted)
  4. Chris Heaton & Victor Solo, 2006. "Estimation of Approximate Factor Models: Is it Important to have a Large Number of Variables?," Research Papers 0605, Macquarie University, Department of Economics. [Downloadable!]
  5. James H. Stock & Mark W. Watson, 1998. "Diffusion Indexes," NBER Working Papers 6702, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Shelby Haberman, 2006. "Bias in Estimation of Misclassification Rates," Psychometrika, Springer, vol. 71(2), pages 387-394, June. [Downloadable!] (restricted)
  7. Wim Krijnen, 2002. "On the construction of all factors of the model for factor analysis," Psychometrika, Springer, vol. 67(1), pages 161-172, March. [Downloadable!] (restricted)
  8. Chris Heaton & Victor Solo, 2003. "Asymptotic Principal Components Estimation Of Large Factor Models," Research Papers 0303, Macquarie University, Department of Economics. [Downloadable!]
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  9. Wim Krijnen, 2006. "Implications of Indeterminate Factor-Error Covariances for Factor Construction, Prediction, and Determinacy," Psychometrika, Springer, vol. 71(3), pages 503-519, September. [Downloadable!] (restricted)
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