Concise formulas for the standard errors of component loading estimates
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DOI: 10.1007/BF02294847
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- 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.
- Kollo, T. & Neudecker, H., 1993. "Asymptotics of Eigenvalues and Unit-Length Eigenvectors of Sample Variance and Correlation Matrices," Journal of Multivariate Analysis, Elsevier, vol. 47(2), pages 283-300, November.
- Haruhiko Ogasawara, 2000. "Some relationships between factors and components," Psychometrika, Springer;The Psychometric Society, vol. 65(2), pages 167-185, June.
- Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
- Haruhiko Ogasawara, 2000. "Some relationships between factors and components," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 551-551, December.
- 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.
- Douglas Clarkson, 1979. "Estimating the standard errors of rotated factor loadings by jackknifing," Psychometrika, Springer;The Psychometric Society, vol. 44(3), pages 297-314, September.
- Masanori Ichikawa & Sadanori Konishi, 1995. "Application of the bootstrap methods in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 60(1), pages 77-93, March.
- Robert Jennrich, 1973. "Standard errors for obliquely rotated factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 593-604, December.
- Claude Archer & Robert Jennrich, 1973. "Standard errors for rotated factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 581-592, December.
- repec:ucp:bkecon:9780226316529 is not listed on IDEAS
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Cited by:
- Joost Ginkel & Pieter Kroonenberg, 2014. "Using Generalized Procrustes Analysis for Multiple Imputation in Principal Component Analysis," Journal of Classification, Springer;The Classification Society, vol. 31(2), pages 242-269, July.
- Haruhiko Ogasawara, 2003. "Oblique factors and components with independent clusters," Psychometrika, Springer;The Psychometric Society, vol. 68(2), pages 299-321, June.
- Aaron Fisher & Brian Caffo & Brian Schwartz & Vadim Zipunnikov, 2016. "Fast, Exact Bootstrap Principal Component Analysis for > 1 Million," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(514), pages 846-860, April.
- Boik, Robert J., 2013. "Model-based principal components of correlation matrices," Journal of Multivariate Analysis, Elsevier, vol. 116(C), pages 310-331.
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Keywords
asymptotic standard errors; principal component analysis; component loadings; rotation; information matrix; least squares;All these keywords.
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