Correcting for Selection Bias via Cross-Validation in the Classification of Microarray Data

McLachlan, G J., Chevelu, J. and Zhu, J. (2008). Correcting for Selection Bias via Cross-Validation in the Classification of Microarray Data. In Balakrishnan, N., Pena, E. A. and Silvapulle, M. J. (Ed.), Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen (pp. 364-376) United States: Institute of Mathematical Statistics. doi:10.1214/193940307000000284


Author McLachlan, G J.
Chevelu, J.
Zhu, J.
Title of chapter Correcting for Selection Bias via Cross-Validation in the Classification of Microarray Data
Title of book Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen
Place of Publication United States
Publisher Institute of Mathematical Statistics
Publication Year 2008
Sub-type Research book chapter (original research)
DOI 10.1214/193940307000000284
ISBN 9780940600737
Editor Balakrishnan, N.
Pena, E. A.
Silvapulle, M. J.
Volume number 1
Start page 364
End page 376
Total pages 13
Language eng
Subjects B1
970101 Expanding Knowledge in the Mathematical Sciences
010401 Applied Statistics
Abstract/Summary There is increasing interest in the use of diagnostic rules based on microarray data. These rules are formed by considering the expression levels of thousands of genes in tissue samples taken on patients of known classification with respect to a number of classes, representing, say, disease status or treatment strategy. As the final versions of these rules are usually based on a small subset of the available genes, there is a selection bias that has to be corrected for in the estimation of the associated error rates. We consider the problem using cross-validation. In particular, we present explicit formulae that are useful in explaining the layers of validation that have to be performed in order to avoid improperly cross-validated estimates.
Q-Index Code B1
Q-Index Status Provisional Code

Document type: Book Chapter
Collection: School of Mathematics and Physics
 
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Created: Fri, 23 May 2008, 12:20:33 EST by Marie Grove on behalf of School of Mathematics & Physics