Alternative penalty functions for penalized likelihood principal components

Journal of Applied Statistics

Volumn 34, Issue 7, 2007, Pages 767-777

  Park, Trevor ^a  

^a University of Florida   (United States)

Author keywords

Interpretation; Lasso penalty; Multivariate exploratory analysis; Principal component rotation; Varimax

Indexed keywords

EID: 34548550647     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664760701239859     Document Type: Article

References (15)

1. Brockwell, P. J. and Davis, R. A. (1991) Time Series: Theory and Methods, Springer-Verlag, New York
2. Chipman, H. A. and Gu, H. (2005) Interpretable dimension reduction. Journal of Applied Statistics, 32, pp. 969-987.
3. Davenport, M. and Studdert-Kennedy, G. (1972) The statistical analysis of aesthetic judgment: An exploration. Applied Statistics, 21, pp. 324-333.
4. Filzmoser, P. (2000) Orthogonal principal planes. Psychometrika, 65, pp. 363-376.
5. Jolliffe, I. T. (1989) Rotation of ill-defined principal components. Applied Statistics, 38, pp. 139-147.
6. Jolliffe, I. T. (2002) Principal Component Analysis, Springer-Verlag, New York
7. Jolliffe, I. T., Trendafilov, N. T. and Uddin, M. (2003) A modified principal component technique based on the LASSO. Journal of Computational and Graphical Statistics, 12, pp. 531-547.
8. Jolliffe, I. T. and Uddin, M. (2000) The simplified component technique: an alternative to rotated principal components. Journal of Computational and Graphical Statistics, 9, pp. 689-710.
9. Park, T. (2005) A penalized likelihood approach to rotation of principal components. Journal of Computational and Graphical Statistics, 14, pp. 867-888.
10. Ramsay, J. O. and Silverman, B. W. (1997) Functional Data Analysis, Springer, New York
11. Ramsay, J. O. and Silverman, B. W. (2002) Applied Functional Data Analysis: Methods and Case Studies, Springer, New York
12. Tibshirani, R. (1996) Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society: Series B, 58, pp. 267-288.
13. Vines, S. K. (2000) Simple principal components. Applied Statistics, 49, pp. 441-451.
14. Zou, H. and Hastie, T. (2005) Regularization and variable selection via the elastic net. Journal of the Royal Statistical Society: Series B, 67, pp. 301-320.
15. Zou, H., Hastie, T. and Tibshirani, R. (2006) Sparse principal component analysis. Journal of Computational and Graphical Statistics, 15, pp. 265-286.