Are a set of microarrays independent of each other?
Open Access
- 1 September 2009
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Applied Statistics
- Vol. 3 (3) , 922-942
- https://doi.org/10.1214/09-aoas236
Abstract
Having observed an m×n matrix X whose rows are possibly correlated, we wish to test the hypothesis that the columns are independent of each other. Our motivation comes from microarray studies, where the rows of X record expression levels for m different genes, often highly correlated, while the columns represent n individual microarrays, presumably obtained independently. The presumption of independence underlies all the familiar permutation, cross-validation and bootstrap methods for microarray analysis, so it is important to know when independence fails. We develop nonparametric and normal-theory testing methods. The row and column correlations of X interact with each other in a way that complicates test procedures, essentially by reducing the accuracy of the relevant estimators.Keywords
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