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GaGa : a parsimonious and flexible model for differential expression analysis

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Rossell, David (2009) GaGa : a parsimonious and flexible model for differential expression analysis. Annals of Applied Statistics, Vol.3 (No.3). pp. 1035-1051. doi:10.1214/09-AOAS244

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Official URL: http://dx.doi.org/10.1214/09-AOAS244

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Abstract

Hierarchical models are a powerful tool for high-throughput data with a small to moderate number of replicates, as they allow sharing information across units of information, for example, genes. We propose two such models and show its increased sensitivity in microarray differential expression applications. We build on the gamma–gamma hierarchical model introduced by Kendziorski et al. [Statist. Med. 22 (2003) 3899–3914] and Newton et al. [Biostatistics 5 (2004) 155–176], by addressing important limitations that may have hampered its performance and its more widespread use. The models parsimoniously describe the expression of thousands of genes with a small number of hyper-parameters. This makes them easy to interpret and analytically tractable. The first model is a simple extension that improves the fit substantially with almost no increase in complexity. We propose a second extension that uses a mixture of gamma distributions to further improve the fit, at the expense of increased computational burden. We derive several approximations that significantly reduce the computational cost. We find that our models outperform the original formulation of the model, as well as some other popular methods for differential expression analysis. The improved performance is specially noticeable for the small sample sizes commonly encountered in high-throughput experiments. Our methods are implemented in the freely available Bioconductor gaga package.

Item Type: Journal Article
Divisions: Faculty of Science > Statistics
Journal or Publication Title: Annals of Applied Statistics
Publisher: Insitute of Mathematical Statistics
ISSN: 1932-6157
Official Date: September 2009
Dates:
DateEvent
September 2009Published
Volume: Vol.3
Number: No.3
Page Range: pp. 1035-1051
DOI: 10.1214/09-AOAS244
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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