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Statistical properties of the quantile normalization method for density curve alignment.

by: Santiago Gallón, Jean-Michel M. Loubes, Elie Maza
Mathematical biosciences (12 January 2013), doi:10.1016/j.mbs.2012.12.007  Key: citeulike:11988701

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Abstract

The article investigates the large sample properties of the quantile normalization method by Bolstad et al. (2003) [3] which has become one of the most popular methods to align density curves in microarray data analysis. We prove consistency of this method which is viewed as a particular case of the structural expectation procedure for curve alignment, which corresponds to a notion of barycenter of measures in the Wasserstein space. Moreover, we show that, this method fails in some case of mixtures, and we propose a new methodology to cope with this issue. Copyright © 2013 Elsevier Inc. All rights reserved.


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