References
- Anderson , T. W. 1963 . Asymptotic theory for principal component analysis . Annals of Mathematical Statistics , 43 : 122 – 148 .
- Basilevsky , A. 1994 . Statistical Factor Analysis and Related Methods: Theory and Applications Wiley-Interscience .
- Beran , R. and Srivastave , M. S. 1985 . Bootstrap tests and confidence regions for functions of a covariance matrix . Annals of Statistics , 13 : 95 – 115 .
- Cattell , R. B. 1966 . The scree test for the number of factors . Multivariate Behavioral Research , 1 : 245 – 276 .
- Davis , A. W. 1977 . Asymptotic theory for principal components analysis: non-normal case . Australian Journal of Statistics , 19 : 206 – 212 .
- Dawkins , B. 1989 . Multivariate analysis of national track records . The American Statistician , 43 : 110 – 115 .
- Efron , B. and Tibshirani , R. 1993 . An Introduction to the Bootstrap Marcel and Decker .
- Giri , N. C. 1996 . Multivariate Statistical Analysis Decker .
- Girschik , M. 1939 . A. On the sampling theory of roots of determinental equations . Annals of Mathematical Statistics , 10 : 203 – 224 .
- Horn , J. L. 1965 . A rationale and test for the number of factors in factor analysis . Psychometrika , 30 : 179 – 185 .
- Jackson , J. E. 1991 . A User's Guide to Principal Components Willey .
- Joliffe , I. T. 1986 . Principal Components Analysis Springer-Verlag .
- Johnson , M. E. 1987 . Multivariate Statistical Simulation Willey .
- Krzanowski , W. J. 1987 . Cross-validation for principal components analysis . Biometrics , 43 : 575 – 584 .
- Linden , M. 1977 . A factor analytic study of Olympic decathlon data . Research Quarterly , 48 : 562 – 568 .
- Okamoto , M. 1973 . Distinctness of the eigenvalues of a quadratic form in multivariate sample . Annals of Statistics , 1 : 763 – 765 .
- Tyler , D. E . 1983a . The asymptotic distribution of principal components roots under local alternatives to multiple roots . Annals of Statistics , 11 : 1232 – 1242 .
- Tyler , D. E. 1983b . A class of asymptotic tests for principal components vectors . Annals of Statistics , 11 : 1243 – 1250 .
- Velicer , W. F. 1976 . Determining the number of components from the matrix of partial correlations . Psychometrika , 41 : 321 – 327 .
- Waternaux , C. M. 1976 . Asymptotic distribution of the sample roots for a non-normal population . Biometrika , 63 : 639 – 645 .
- Wold , S. 1978 . Cross-validatory estimation of the number of components in factor and principal components analysis . Technometrics , 20 : 397 – 405 .
- Zwick , W. R. and Velicer , W. F. 1986 . Comparison of five rules for determining the number of components to retain . Psychological Bulletin , 99 : 432 – 442 .