Robustness properties of a robust partial least squares regression method

Analytica Chimica Acta

Volumn 515, Issue 1, 2004, Pages 229-241

  Vanden Branden, K ^a   Hubert, M ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Influence function; Minimum covariance determinant; Partial least squares regression; Robustness; SIMPLS

Indexed keywords

DATA REDUCTION; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; PRINCIPAL COMPONENT ANALYSIS; VARIATIONAL TECHNIQUES;

DATA-SETS; REGRESSION DATA;

REGRESSION ANALYSIS;

ALGORITHM; ANALYSIS OF VARIANCE; ANALYTIC METHOD; ARTICLE; COVARIANCE; LINEAR REGRESSION ANALYSIS; PRINCIPAL COMPONENT ANALYSIS; PRIORITY JOURNAL;

EID: 2942733255     PISSN: 00032670     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aca.2004.01.004     Document Type: Article

References (19)

1. M. Tenenhaus, La Regression PLS: theorie et pratique, Editions Technip, Paris, 1998.
2. de Jong S. Chemom. Intel. Lab. Syst. 18:1993;251-263
3. F.R. Hampel, E.M. Ronchetti, P.J. Rousseeuw, W.A. Stahel, Robust Statistics: The Approach Based on Influence Functions, Wiley, New York, 1986.
4. Rousseeuw P.J. J. Am. Statist. Assoc. 79:1984;871-880
5. Rousseeuw P.J., van Zomeren B.C. J. Am. Statist. Assoc. 85:1990;633-651
6. P.J. Rousseeuw, V.J. Yohai, in: J. Franke, W. Härdle, R.D. Martin (Eds.), Robust and Nonlinear Time Series Analysis, Lecture Notes in Statistics No. 26, Springer-Verlag, New York, 1984, pp. 256-272.
7. P.J. Rousseeuw, A.M. Leroy, Robust Regression and Outlier Detection, Wiley, New York, 1987.
8. Hubert M., Vanden Branden K. J. Chemom. 17:2003;537-549
9. M. Hubert, P.J. Rousseeuw, K. Vanden Branden, Technometrics (in press), available at http://www.wis.kuleuven.ac.be/stat/robust.html.
10. R.L. Anderson, T.A. Bancroft, Statistical Theory in Research, McGraw-Hill, New York, 1952.
11. Lazraq A., Cléroux R. J. Chemom. 15:2001;523-536
12. Rousseeuw P.J., Van Driessen K. Technometrics. 41:1999;212-223
13. P.J. Rousseeuw, S. Van Aelst, K. Van Driessen, J. Agulló, Under revision, 2002.
14. Croux C., Haesbroeck G. Biometrika. 87:2000;603-618
15. Croux C., Haesbroeck G. J. Multivariate Anal. 71:1999;161-190
16. Lopuhaä H. Ann. Stat. 27:1999;1638-1665
17. S. Engelen, M. Hubert, K. Vanden Branden, S. Verboven, in: M. Hubert, G. Pison, A. Struyf, S. Van Aelst (Eds.), Series: Statistics for Industry and Technology, Birkhauser, Basel, Theory and Applic. of Recent Robust Methods, 2004, in press.
18. Kalivas J.H. Chemom. Intel. Lab. Syst. 37:1997;255-259
19. G.H. Golub, C.F. Van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, 1989.