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December 2010 Subsampling methods for genomic inference
Peter J. Bickel, Nathan Boley, James B. Brown, Haiyan Huang, Nancy R. Zhang
Ann. Appl. Stat. 4(4): 1660-1697 (December 2010). DOI: 10.1214/10-AOAS363

Abstract

Large-scale statistical analysis of data sets associated with genome sequences plays an important role in modern biology. A key component of such statistical analyses is the computation of p-values and confidence bounds for statistics defined on the genome. Currently such computation is commonly achieved through ad hoc simulation measures. The method of randomization, which is at the heart of these simulation procedures, can significantly affect the resulting statistical conclusions. Most simulation schemes introduce a variety of hidden assumptions regarding the nature of the randomness in the data, resulting in a failure to capture biologically meaningful relationships. To address the need for a method of assessing the significance of observations within large scale genomic studies, where there often exists a complex dependency structure between observations, we propose a unified solution built upon a data subsampling approach. We propose a piecewise stationary model for genome sequences and show that the subsampling approach gives correct answers under this model. We illustrate the method on three simulation studies and two real data examples.

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Peter J. Bickel. Nathan Boley. James B. Brown. Haiyan Huang. Nancy R. Zhang. "Subsampling methods for genomic inference." Ann. Appl. Stat. 4 (4) 1660 - 1697, December 2010. https://doi.org/10.1214/10-AOAS363

Information

Published: December 2010
First available in Project Euclid: 4 January 2011

zbMATH: 1220.62130
MathSciNet: MR2829932
Digital Object Identifier: 10.1214/10-AOAS363

Keywords: feature overlap , Genome Structure Correction (GSC) , piecewise stationary model , segmentation-block bootstrap , subsampling

Rights: Copyright © 2010 Institute of Mathematical Statistics

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Vol.4 • No. 4 • December 2010
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