Universität zu Köln

Luksza, Marta ORCID: 0000-0002-9520-1299, Laessig, Michael and Berg, Johannes (2010). Significance Analysis and Statistical Mechanics: An Application to Clustering. Phys. Rev. Lett., 105 (22). COLLEGE PK: AMER PHYSICAL SOC. ISSN 0031-9007

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Abstract

This Letter addresses the statistical significance of structures in random data: Given a set of vectors and a measure of mutual similarity, how likely is it that a subset of these vectors forms a cluster with enhanced similarity among its elements? The computation of this cluster p value for randomly distributed vectors is mapped onto a well-defined problem of statistical mechanics. We solve this problem analytically, establishing a connection between the physics of quenched disorder and multiple-testing statistics in clustering and related problems. In an application to gene expression data, we find a remarkable link between the statistical significance of a cluster and the functional relationships between its genes.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Luksza, Marta UNSPECIFIED orcid.org/0000-0002-9520-1299 UNSPECIFIED Laessig, Michael UNSPECIFIED UNSPECIFIED UNSPECIFIED Berg, Johannes UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-492268
DOI:	10.1103/PhysRevLett.105.220601
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	105
Number:	22
Date:	2010
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	0031-9007
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49226