A framework for sequential multiblock component methods

作者: Sijmen de Jong , Age K. Smilde , Johan A. Westerhuis

DOI: 10.1002/CEM.811

关键词:

摘要: Multiblock or multiset methods are starting to be used in chemistry and biology study complex data sets. In chemometrics, sequential multiblock popular; that is, calculate one component at a time use deflation for finding the next component. this paper framework is provided methods, including hierarchical PCA (HPCA; two versions), consensus (CPCA; versions) generalized (GPCA). Properties of derived characteristics discussed. All illustrated with real five-block example from chromatography. The only clear optimization criteria GPCA version CPCA. Of these, shown give inferior results compared Copyright © 2003 John Wiley & Sons, Ltd.

参考文章(28)
P. Robert, Y. Escoufier, A Unifying Tool for Linear Multivariate Statistical Methods: The RV- Coefficient Applied Statistics. ,vol. 25, pp. 257- 265 ,(1976) , 10.2307/2347233
Andreas Franciscus Maria Nierop, Multidimensional analysis of grouped variables : an integrated approach Rijksuniversiteit Leiden, DSWO press. ,(1993)
Agnar Höskuldsson, PLS regression methods Journal of Chemometrics. ,vol. 2, pp. 211- 228 ,(1988) , 10.1002/CEM.1180020306
Ph. Casin, A generalization of principal component analysis to K sets of variables Computational Statistics & Data Analysis. ,vol. 35, pp. 417- 428 ,(2001) , 10.1016/S0167-9473(00)00024-4
J. R. KETTENRING, Canonical analysis of several sets of variables Biometrika. ,vol. 58, pp. 433- 451 ,(1971) , 10.1093/BIOMET/58.3.433
Svante Wold, Nouna Kettaneh, Håkan Fridén, Andrea Holmberg, Modelling and diagnostics of batch processes and analogous kinetic experiments Chemometrics and Intelligent Laboratory Systems. ,vol. 44, pp. 331- 340 ,(1998) , 10.1016/S0169-7439(98)00162-2
Roma. Tauler, Bruce. Kowalski, Sydney. Fleming, Multivariate curve resolution applied to spectral data from multiple runs of an industrial process Analytical Chemistry. ,vol. 65, pp. 2040- 2047 ,(1993) , 10.1021/AC00063A019
Joseph Levin, Simultaneous factor analysis of several Gramian matrices Psychometrika. ,vol. 31, pp. 413- 419 ,(1966) , 10.1007/BF02289472