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October 2006 A multivariate empirical Bayes statistic for replicated microarray time course data
Yu Chuan Tai, Terence P. Speed
Ann. Statist. 34(5): 2387-2412 (October 2006). DOI: 10.1214/009053606000000759

Abstract

In this paper we derive one- and two-sample multivariate empirical Bayes statistics (the MB-statistics) to rank genes in order of interest from longitudinal replicated developmental microarray time course experiments. We first use conjugate priors to develop our one-sample multivariate empirical Bayes framework for the null hypothesis that the expected temporal profile stays at 0. This leads to our one-sample MB-statistic and a one-sample 2-statistic, a variant of the one-sample Hotelling T2-statistic. Both the MB-statistic and 2-statistic can be used to rank genes in the order of evidence of nonzero mean, incorporating the correlation structure across time points, moderation and replication. We also derive the corresponding MB-statistics and 2-statistics for the one-sample problem where the null hypothesis states that the expected temporal profile is constant, and for the two-sample problem where the null hypothesis is that two expected temporal profiles are the same.

Citation

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Yu Chuan Tai. Terence P. Speed. "A multivariate empirical Bayes statistic for replicated microarray time course data." Ann. Statist. 34 (5) 2387 - 2412, October 2006. https://doi.org/10.1214/009053606000000759

Information

Published: October 2006
First available in Project Euclid: 23 January 2007

zbMATH: 1106.62008
MathSciNet: MR2291504
Digital Object Identifier: 10.1214/009053606000000759

Subjects:
Primary: 62M10
Secondary: 62C12, 92D10

Rights: Copyright © 2006 Institute of Mathematical Statistics

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Vol.34 • No. 5 • October 2006
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