Prediction intervals in Partial Least Squares regression via a new local linearization approach

Chemometrics and Intelligent Laboratory Systems

Volumn 103, Issue 2, 2010, Pages 122-128

  Romera, Rosario ^a  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

Author keywords

Jacobian matrix; Latent variables; Local linearization; Measurement uncertainty; Multivariate calibration; Prediction intervals

Indexed keywords

ACCURACY; ANALYSIS OF COVARIANCE; ARTICLE; CHEMOMETRIC ANALYSIS; LEARNING ALGORITHM; LINEAR SYSTEM; MATHEMATICAL MODEL; MAXIMUM LIKELIHOOD METHOD; NONLINEAR SYSTEM; NORMAL DISTRIBUTION; PARTIAL LEAST SQUARES REGRESSION; PREDICTION; PRIORITY JOURNAL; PROCESS DEVELOPMENT; SYSTEMATIC ERROR; TOTAL QUALITY MANAGEMENT;

EID: 77955923797     PISSN: 01697439     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemolab.2010.06.007     Document Type: Article

References (29)

1. Anderson T.W. An Introduction to Multivariate Statistical Analysis 1984, John Wiley, New York.
2. Baffi G., Martin E., Morris J. Chemom. Intell. Lab. Syst. 2002, 61:151-165.
3. Barker M. W. S Rayens. J. Chemom. 2003, 17:166-173.
4. Barndorff-Nielsen O.E., Cox D.R. Asymptotic Techniques for use in Statistics 1989, Chapman and Hall, London.
5. Brás L.P., Lopes Marta, Ferreira Ana P., Menezes José C. J. Chemom. 2009, 22(Issue 11-12):695-700.
6. Bro R., Elden L. J. Chemom. 2009, 23(1):69-71.
7. Burnham A.J., MacGregor J.F., Viveros R. J. Chemom. 2001, 15:265-284.
8. Denham M.C. J. Chemom. 1997, 11:39-52.
9. Denham M.C. J. Chem. 2000, 14:351-361.
10. Faber N.M., Bro R. Chemom. Intell. Lab. Syst. 2003, 61:133-149.
11. Garcia-Muñoz S., Kourti T., MacGregor J.F., Apruzzese F., Champagne M. Ind. Eng. Chem. Res. 2006, 45:7856-7866.
12. Goutis C. Ann. Stat. 1996, 24:816-824.
13. Helland I.S. Commun. Stat. Simul. 1988, 17:581-607.
14. Helland I.S. J. R. Stat. Soc., B 1992, 54:637-647.
15. Helland I.S. Chem. Intell. Lab. Syst. 2001, 58:97-107.
16. Höskuldsson A. J. Chemom. 1988, 2:211-228.
17. Magnus J.R., Neudecker H. Matrix Differential Calculus with Applications in Statistics and Econometrics 1988, Wiley, Chichester, UK.
18. Manne R. Chemom. Intell. Lab. Syst. 1987, 2:187-197.
19. Muirhead R.J. Aspects of Multivariate Statistical Theory,Wiley Series in Probability and Statistics 2005.
20. Naes T. I.S: Helland. Scand. J. Stat. 1993, 20:239-250.
21. Phatak A., Reilly P.M., Penlidis A. Anal. Chim. Acta 1992, 277:495-501.
22. Phatak A., Reilly P.M., Penlidis A. Linear Algebra Appl. 2002, 354:245-253.
23. Reiss R., Wojsznis W., Wojewodka R. Chem. Intell. Lab. Syst. 2009, 10.1016/j.chemolab.2009.11.003.
24. Serneels S. Van Espeen. Anal. Chim. Acta 2005, 544:153-158.
25. Serneels S., Lemberge P., Van Espeen P. J. Chem. 2004, 18:76-80.
26. van der Voet H. J. Chemom. 1999, 13:195-208.
27. Wold S., Høy M., Martens H., Trygg J., Westad F., MacGregor J., Wise B.M. J. Chemom. 2009, 23(2):67-68.
28. Zhang L., Garcia-Munoz S. Chemom. Intell. Lab. Syst. 2009, 97:152-245.
29. Ye J. J. Am. Stat. Assoc. 1998, 93:120-131.