title: Component retention in principal component analysis with application to cDNA microarray data.
abstract: Shannon entropy is used to provide an estimate of the number of interpretable components in a principal component analysis. In addition, several ad hoc stopping rules for dimension determination are reviewed and a modification of the broken stick model is presented. The modification incorporates a test for the presence of an "effective degeneracy" among the subspaces spanned by the eigenvectors of the correlation matrix of the data set then allocates the total variance among subspaces. A summary of the performance of the methods applied to both published microarray data sets and to simulated data is given.
authors.affiliation: Program in Applied Mathematics, University of Arizona, Tucson, AZ85721, USA. rcan@math.arizona.edu
authors.forename: Richard
authors.initials: R
authors.lastname: Cangelosi
authors.forename: Alain
authors.initials: A
authors.lastname: Goriely