A multivariate empirical Bayes statistic for replicated microarray time course data

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dc.creatorTai, Yu Chuan
dc.creatorSpeed, Terence P.
dc.date2007-02-23
dc.date.accessioned2026-07-07T08:08:45Z
dc.date.available2026-07-07T08:08:45Z
dc.descriptionIn this paper we derive one- and two-sample multivariate empirical Bayes statistics (the $\mathit{MB}$-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 $\mathit{MB}$-statistic and a one-sample $\widetilde{T}{}^2$-statistic, a variant of the one-sample Hotelling $T^2$-statistic. Both the $\mathit{MB}$-statistic and $\widetilde{T}^2$-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 $\mathit{MB}$-statistics and $\widetilde{T}^2$-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.
dc.descriptionPublished at http://dx.doi.org/10.1214/009053606000000759 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0702685
dc.identifierhttp://arxiv.org/abs/math/0702685
dc.identifierAnnals of Statistics 2006, Vol. 34, No. 5, 2387-2412
dc.identifierdoi:10.1214/009053606000000759
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131370
dc.subjectStatistics Theory
dc.subject62M10 (Primary) 62C12, 92D10 (Secondary)
dc.titleA multivariate empirical Bayes statistic for replicated microarray time course data
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