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Title: Empirical Bayes estimation of gene-specific effects in micro-array research
Author (s): Edwards, Jode W.
Page, Grier P.
Gadbury, Gary L.
Heo, Moonseong
Kayo, Tsuyoshi
Weindruch, Richard
Allison, David B.
Department/Lab Affiliations: Mathematics & Statistics
Keywords: Empirical bayes
Estimation
Micro-array
Shrinkage
Issue Date: 2005
Publisher: Springer Berlin / Heidelberg
Citation: Edwards, Jode W., Page, Grier P., Gadbury, Gary, Heo, Moonseong, Kayo, Tsuyoshi, Weindruch, Richard, and Allison, David B. (2005). Empirical Bayes Estimation of Gene-Specific Effects In Micro-array Research. Functional & Integrative Genomics, 5, 32 – 39.
Abstract: Micro-array technology allows investigators the opportunity to measure expression levels of thousands of genes simultaneously. However, investigators are also faced with the challenge of simultaneous estimation of gene expression differences for thousands of genes with very small sample sizes. Traditional estimators of differences between treatment means (ordinary least squares estimators or OLS) are not the best estimators if interest is in estimation of gene expression differences for an ensemble of genes. In the case that gene expression differences are regarded as exchangeable samples from a common population, estimators are available that result in much smaller average mean-square error across the population of gene expression difference estimates. We have simulated the application of such an estimator, namely an empirical Bayes (EB) estimator of random effects in a hierarchical linear model (normal-normal). Simulation results revealed mean-square error as low as 0.05 times the mean-square error of OLS estimators (i.e., the difference between treatment means). We applied the analysis to an example dataset as a demonstration of the shrinkage of EB estimators and of the reduction in mean-square error, i.e., increase in precision, associated with EB estimators in this analysis. The method described here is available in software that is available at http://www.soph.uab.edu/ssg.asp?id=1087.
Type: Article - Journal
text
In Title: Functional & Integrative Genomics
Copyright Notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
FULL COPYRIGHT INFORMATION:
http://www.springer.com/open+choice?SGWID=0-40359-0-0-0
Publisher URL:
http://dx.doi.org/10.1007/s10142-004-0123-0
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http://scholarsmine.mst.edu/post_prints/EmpiricalBayesEstimationofGeneSpec_09007dcc804f0947.html



titleEmpirical Bayes estimation of gene-specific effects in micro-array research
contributor.authorEdwards, Jode W.
contributor.authorPage, Grier P.
contributor.authorGadbury, Gary L.
contributor.authorHeo, Moonseong
contributor.authorKayo, Tsuyoshi
contributor.authorWeindruch, Richard
contributor.authorAllison, David B.
contributor.deptlabMathematics & Statistics
contributor.sponsorFrederick Gardner Cottrell Foundation
contributor.sponsorNational Institute of Health
contributor.sponsorNational Science Foundation
contributor.sponsorUniversity of Alkabama Health Services Foundation
subjectEmpirical bayes
subjectEstimation
subjectMicro-array
subjectShrinkage
date.issued2005
publisherSpringer Berlin / Heidelberg
identifier.citationEdwards, Jode W., Page, Grier P., Gadbury, Gary, Heo, Moonseong, Kayo, Tsuyoshi, Weindruch, Richard, and Allison, David B. (2005). Empirical Bayes Estimation of Gene-Specific Effects In Micro-array Research. Functional & Integrative Genomics, 5, 32 – 39.
identifier.pub.URI
http://dx.doi.org/10.1007/s10142-004-0123-0
description.abstractMicro-array technology allows investigators the opportunity to measure expression levels of thousands of genes simultaneously. However, investigators are also faced with the challenge of simultaneous estimation of gene expression differences for thousands of genes with very small sample sizes. Traditional estimators of differences between treatment means (ordinary least squares estimators or OLS) are not the best estimators if interest is in estimation of gene expression differences for an ensemble of genes. In the case that gene expression differences are regarded as exchangeable samples from a common population, estimators are available that result in much smaller average mean-square error across the population of gene expression difference estimates. We have simulated the application of such an estimator, namely an empirical Bayes (EB) estimator of random effects in a hierarchical linear model (normal-normal). Simulation results revealed mean-square error as low as 0.05 times the mean-square error of OLS estimators (i.e., the difference between treatment means). We applied the analysis to an example dataset as a demonstration of the shrinkage of EB estimators and of the reduction in mean-square error, i.e., increase in precision, associated with EB estimators in this analysis. The method described here is available in software that is available at http://www.soph.uab.edu/ssg.asp?id=1087.
typeArticle - Journal
type.DCMITypetext
type.statusPostprint
rightsThis material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
rights.URI
http://www.springer.com/open+choice?SGWID=0-40359-0-0-0
relation.isPartOfFunctional & Integrative Genomics
date.accessioned2007-04-11T17:00:48Z
date.available2008-05-09T19:15:29Z
identifier.persist.URI
http://scholarsmine.mst.edu/post_prints/EmpiricalBayesEstimationofGeneSpec_09007dcc804f0947.html