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A Bayesian discovery procedure

delete2009-07-06
delete52
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M
Michele Guindani *
P
Peter Müller
S
Song Zhang
DOI:10.1111/j.1467-9868.2009.00714.xdelete
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摘要

摘要

En 中文
We discuss a Bayesian discovery procedure for multiple-comparison problems. We show that, under a coherent decision theoretic framework, a loss function combining true positive and false positive counts leads to a decision rule that is based on a threshold of the posterior probability of the alternative. Under a semiparametric model for the data, we show that the Bayes rule can be approximated by the optimal discovery procedure, which was recently introduced by Storey. Improving the approximation leads us to a Bayesian discovery procedure, which exploits the multiple shrinkage in clusters that are implied by the assumed non-parametric model. We compare the Bayesian discovery procedure and the optimal discovery procedure estimates in a simple simulation study and in an assessment of differential gene expression based on microarray data from tumour samples. We extend the setting of the optimal discovery procedure by discussing modifications of the loss function that lead to different single-thresholding statistics. Finally, we provide an application of the previous arguments to dependent (spatial) data.
Keyword:
Bayes optimal rule
False discovery rate
Loss function
Multiple comparison
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期刊

J
Journal of the Royal Statistical Society Series B-Statistical Methodology
IF:
3.6
论文数:
1.5K
被引数:
3.2W

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U
utmd anderson cancer center
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论文数: 2.4W
被引数: 27
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university of texas system
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18.5W
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被引数: 210
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university of new mexico
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1.6W
论文数: 1.3W
被引数: 25
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