Journal article

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.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Cangelosi, R., & Goriely, A. (2007). Component retention in principal component analysis with application to cDNA microarray data. Biology Direct, 2, 2.

MLA Style

Cangelosi, R., and A. Goriely. “Component Retention in Principal Component Analysis with Application to CDNA Microarray Data.” Biology Direct, vol. 2, BioMed Central, 2007, p. 2.

Chicago Style

Cangelosi, R, and A Goriely. 2007. “Component Retention in Principal Component Analysis with Application to CDNA Microarray Data.” Biology Direct 2: 2.
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Files:: 1745-6150-2-2.pdf

(Preview, Version of record, pdf, 914.3KB, Terms of use)

Publisher copy:: 10.1186/1745-6150-2-2

Authors

+ Cangelosi, R More by this author

Role:: Author

+ Goriely, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ National Science Foundation More from this funder

Funding agency for:: Goriely, A
Grant:: DMS-DMS-IGMS-0623989

+ BIO5 Institute More from this funder

Publisher:: BioMed Central
Journal:: Biology direct More from this journal
Volume:: 2
Pages:: 2
Publication date:: 2007-01-01
DOI:: 10.1186/1745-6150-2-2
EISSN:: 1745-6150
ISSN:: 1745-6150

Language:: English
UUID:: uuid:5295a419-d940-4081-840c-c8a40a129179
Local pid:: pubs:187908
Source identifiers:: 187908
Deposit date:: 2012-12-19

Terms of use

Copyright holder:: Cangelosi and Goriely
Copyright date:: 2007
Notes:: © 2007 Cangelosi and Goriely; licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Licence:: CC Attribution (CC BY)

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