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Bioinformatics Advance Access published online on January 18, 2008

Bioinformatics, doi:10.1093/bioinformatics/btm628
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© 2008 The Author(s)
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/2.0/uk/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Multiple testing on the directed acyclic graph of gene ontology

Jelle J. Goeman 1,* and Ulrich Mansmann 2

1Dept. of Medical Statistics, Postzone S5-P, P.O. Box 9600, 2300 RC Leiden, The Netherlands
2IBE, Medical School, University of Munich and Department of Statistics, University of Munich

*To whom correspondence should be addressed. Dr. Jelle J. Goeman, E-mail: j.j.goeman{at}lumc.nl


   Abstract

Motivation: Current methods for multiplicity adjustment do not make use of the graph structure of Gene Ontology when testing for association of expression profiles of GO terms with a response variable.

Results: We propose a multiple testing method, called the focus level procedure, that preserves the graph structure of Gene Ontology (GO). The procedure is constructed as a combination of a Closed Testing procedure with Holm's method. It requires a user to choose a "focus level" in the GO graph, which reflects the level of specificity of terms in which the user is most interested. This choice also determines the level in the GO graph at which the procedure has most power. We prove that the procedure strongly controls the family-wise error rate without any additional assumptions on the joint distribution of the test statistics used. We also present an algorithm to calculate multiplicityadjusted p-values. Because the focus level procedure preserves the structure of the GO graph, it does not generally preserve the ordering of the raw p-values in the adjusted p-values.

Availability: The focus level procedure has been implemented in the globaltest and GlobalAncova packages, both of which are available on www.bioconductor.org.

Contact: j.j.goeman{at}lumc.nl

Associate Editor: Prof. David Rocke


Received on July 26, 2007; revised on November 28, 2007; accepted on December 16, 2007

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