Estimating bayesian networks for high-dimensional data with complex mean structure and random effects

dc.contributor.authorKasza, J.
dc.contributor.authorGlonek, G.
dc.contributor.authorSolomon, P.
dc.date.issued2012
dc.description.abstractThe estimation of Bayesian networks given high-dimensional data, in particular gene expression data, has been the focus of much recent research. Whilst there are several methods available for the estimation of such networks, these typically assume that the data consist of independent and identically distributed samples. It is often the case, however, that the available data have a more complex mean structure, plus additional components of variance, which must then be accounted for in the estimation of a Bayesian network. In this paper, score metrics that take account of such complexities are proposed for use in conjunction with score-based methods for the estimation of Bayesian networks. We propose first, a fully Bayesian score metric, and second, a metric inspired by the notion of restricted maximum likelihood. We demonstrate the performance of these new metrics for the estimation of Bayesian networks using simulated data with known complex mean structures. We then present the analysis of expression levels of grape-berry genes adjusting for exogenous variables believed to affect the expression levels of the genes. Demonstrable biological effects can be inferred from the estimated conditional independence relationships and correlations amongst the grape-berry genes.
dc.description.statementofresponsibilityJessica Kasza, Gary Glonek and Patty Solomon
dc.identifier.citationAustralian and New Zealand Journal of Statistics, 2012; 54(2):169-187
dc.identifier.doi10.1111/j.1467-842X.2012.00662.x
dc.identifier.issn1467-842X
dc.identifier.issn1467-842X
dc.identifier.orcidSolomon, P. [0000-0002-0667-6947]
dc.identifier.urihttp://hdl.handle.net/2440/73830
dc.language.isoen
dc.publisherWiley-Blackwell Publishing Asia
dc.rights© 2012 Australian Statistical Publishing Association Inc.
dc.source.urihttps://doi.org/10.1111/j.1467-842x.2012.00662.x
dc.subjectBayesian network
dc.subjectexogenous variable
dc.subjectgrape-berry gene expression
dc.subjectregulatory network
dc.subjectscore-based metric
dc.subjectvariance components
dc.titleEstimating bayesian networks for high-dimensional data with complex mean structure and random effects
dc.typeJournal article
pubs.publication-statusPublished

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