Open Access
December 2011 Analysis of a data matrix and a graph: Metagenomic data and the phylogenetic tree
Elizabeth Purdom
Ann. Appl. Stat. 5(4): 2326-2358 (December 2011). DOI: 10.1214/10-AOAS402


In biological experiments researchers often have information in the form of a graph that supplements observed numerical data. Incorporating the knowledge contained in these graphs into an analysis of the numerical data is an important and nontrivial task. We look at the example of metagenomic data—data from a genomic survey of the abundance of different species of bacteria in a sample. Here, the graph of interest is a phylogenetic tree depicting the interspecies relationships among the bacteria species. We illustrate that analysis of the data in a nonstandard inner-product space effectively uses this additional graphical information and produces more meaningful results.


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Elizabeth Purdom. "Analysis of a data matrix and a graph: Metagenomic data and the phylogenetic tree." Ann. Appl. Stat. 5 (4) 2326 - 2358, December 2011.


Published: December 2011
First available in Project Euclid: 20 December 2011

zbMATH: 1234.62148
MathSciNet: MR2907117
Digital Object Identifier: 10.1214/10-AOAS402

Keywords: Graphs , metagenomics , Multivariate analysis , Phylogenetics , principal components analysis

Rights: Copyright © 2011 Institute of Mathematical Statistics

Vol.5 • No. 4 • December 2011
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