%0 Journal Article %1 CEM:CEM1180060207 %A Krzanowski, W. J. %D 1992 %I John Wiley & Sons, Ltd. %J Journal of Chemometrics %K discriminant discriminant-analysis discrimination pca %N 2 %P 97--102 %R 10.1002/cem.1180060207 %T Ranking principal components to reflect group structure %U http://dx.doi.org/10.1002/cem.1180060207 %V 6 %X Abstract Canonical variate analysis is the appropriate descriptive technique for multivariate data which have an a priori group structure, but problems arise with this technique when there are more variables than within-group degrees of freedom because of singularity of matrices. In such cases it is shown through illustrative examples that principal component analysis is a viable substitute provided that the principal components are ranked according to the canonical variate criterion (ratio- of between- to within-group variances) rather than the usual criterion of total variance. This ranking can also be used to select components for subsequent discriminant analysis.

@article{CEM:CEM1180060207, abstract = {Abstract Canonical variate analysis is the appropriate descriptive technique for multivariate data which have an a priori group structure, but problems arise with this technique when there are more variables than within-group degrees of freedom because of singularity of matrices. In such cases it is shown through illustrative examples that principal component analysis is a viable substitute provided that the principal components are ranked according to the canonical variate criterion (ratio- of between- to within-group variances) rather than the usual criterion of total variance. This ranking can also be used to select components for subsequent discriminant analysis.}, added-at = {2011-03-31T16:58:43.000+0200}, author = {Krzanowski, W. J.}, biburl = {https://www.bibsonomy.org/bibtex/20aa37c7b1199acfc2e8fcdd836fa678a/vivion}, description = {Ranking principal components to reflect group structure - Krzanowski - 2005 - Journal of Chemometrics - Wiley Online Library}, doi = {10.1002/cem.1180060207}, interhash = {e4f3e9476af841c67ce1a5ce0069f44c}, intrahash = {0aa37c7b1199acfc2e8fcdd836fa678a}, issn = {1099-128X}, journal = {Journal of Chemometrics}, keywords = {discriminant discriminant-analysis discrimination pca}, number = 2, pages = {97--102}, publisher = {John Wiley & Sons, Ltd.}, timestamp = {2011-03-31T17:00:05.000+0200}, title = {Ranking principal components to reflect group structure}, url = {http://dx.doi.org/10.1002/cem.1180060207}, volume = 6, year = 1992 }