Deflation strategies for multi-block principal component analysis revisited

Chemometrics and Intelligent Laboratory Systems

Volumn 120, Issue , 2013, Pages 154-168

  Hassani, Sahar ^a,b   Hanafi, Mohamed ^c,d   Qannari, El Mostafa ^c,d   Kohler, Achim ^a,b  

^a NOFIMA   (Norway)

^b NORWEGIAN UNIVERSITY OF LIFE SCIENCES   (Norway)

^c LUNAM UNIVERSITÉ   (France)

^d CEMAGREF   (France)

Author keywords

Consensus PCA (CPCA); Deflation; Multi block Principal Component Analysis (MBPCA); Orthogonality

Indexed keywords

ANALYTICAL PARAMETERS; ARTICLE; DATA BASE; DEFLATION STRATEGY; MULTI BLOCK PRINCIPAL COMPONENT ANALYSIS; PRINCIPAL COMPONENT ANALYSIS; PRIORITY JOURNAL; PROCEDURES; SCORING SYSTEM; SIMULATION; SPECTROSCOPY; STRUCTURE ANALYSIS;

EID: 84871931932     PISSN: 01697439     EISSN: 18733239     Source Type: Journal    
DOI: 10.1016/j.chemolab.2012.08.011     Document Type: Article

References (20)

1. Kohler A., Hanafi M., Bertrand D., Oust Janbu A., Møretrø T., Naderstad K., Qannari M., Martens H. Interpreting several types of measurements in bioscience. Modern Concepts in Biomedical Vibrational Spectroscopy 2008, John Wiley & Sons, USA. P. Lasch, J. Kneipp (Eds.).
2. Hassani S., Martens H., Qannari E.M., Hanafi M., Borge G.I., Kohler A. Analysis of -omics data: graphical interpretation- and validation tools in multi-block methods. Chemometrics and Intelligent Laboratory Systems 2010, 104:140-153.
3. Carrol J.D. A generalization of canonical correlation analysis to three or more sets of variables. Proceedings of the 76th Convention of the American Psychological Association 1968, 3:227-229.
4. Tucker L.R. An inter-battery method of factor analysis. Psychometrika 1958, 23:111-136.
5. Wold S., Hellberg S., Lundstedt Y., Sjostrom M., Wold H. Proc. Symp. on PLS Model Building: Theory and Application 1987, Frankfurt am Main.
6. Hanafi M., Kohler A., Qannari E.-M. Connections between multiple co-inertia analysis and consensus principal component analysis. Chemometrics and Intelligent Laboratory Systems 2011, 106:37-40.
7. Wold H. Estimation of principal components and related models by iterative least squares. Multivariate Analysis 1966, 391-420. Academic Press, New York. P.R. Krishnaiah (Ed.).
8. Miyashita Y., Itozawa T., Katsumi H., Sasaki S.-I. Comments on the NIPALS algorithm. Journal of Chemometrics 1990, 4:97-100.
9. Westerhuis J.A., Kourti T., MacGregor J.F. Analysis of multiblock and hierarchical PCA and PLS models. Journal of Chemometrics 1998, 12:301-321.
10. Chen G., McAvoy T.J. Multi-block predictive monitoring of continuous processes. IFAC ADCHEM'97 1997, Banff.
11. Chessel D., Hanafi M. Analyses de la co-inertie de K nuages de points. Revue de Statistique Appliquée 1996, 44:35-60.
12. Hanafi M., Mazerolles G., Dufour E., Qannari E.M. Common components and specific weight analysis and multiple co-inertia analysis applied to the coupling of several measurement techniques. Journal of Chemometrics 2006, 20:172-183.
13. Westerhuis J.A., Kourti T., Macgregor J.F. Analysis of multiblock and hierarchical PCA and PLS models. Journal of Chemometrics 1998, 12:301-321.
14. Hanafi M., Kohler A., Qannari E.-M. Connections between multiple co-inertia analysis and consensus principal component analysis. Chemometrics and Intelligent Laboratory Systems 2010, 106:37-40.
15. Martens H., Næs T. Multivariate Calibration 1989, Wiley & Sons, Chichester.
16. Qin S.J., Valle S., Piovoso M.J. On unifying multiblock analysis with application to decentralized process monitoring. Journal of Chemometrics 2001, 15:715-742.
17. Oust A., Moretro T., Naterstad K., Sockalingum G.D., Adt I., Manfait M., Kohler A. Fourier transform infrared and Raman spectroscopy for characterization of Listeria monocytogenes strains. Applied and Environmental Microbiology 2006, 72:228-232.
18. Kohler A., Kirschner C., Oust A., Martens H. Extended multiplicative signal correction as a tool for separation and characterization of physical and chemical information in Fourier transform infrared microscopy images of cryo-sections of beef loin. Applied Spectroscopy 2005, 59:707-716.
19. Kohler A., Zimonja M., Segtnan V., Martens H. Data preprocessing: SNV, MSC and EMSC pre-processing in biospectroscopy. Comprehensive Chemometrics 2009, 139-162. Elsevier, Oxford. S. Brown, R. Tauler, R. Walczak (Eds.).
20. Westerhuis J.A., Smilde A.K. Deflation in multiblock PLS. Journal of Chemometrics 2001, 15:485-493.