False discovery proportion estimation by permutations: confidence for significance analysis of microarrays

False discovery proportion estimation by permutations: confidence for significance analysis of microarrays
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DOI:
10.1111/rssb.12238
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发表时间:
2018-01-01
影响因子:
5.8
通讯作者:
Goeman, Jelle J.
Goeman, Jelle J.
中科院分区:
数学1区
文献类型:
--
作者:
Hemerik, Jesse;Goeman, Jelle J.

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微阵列显著性分析(SAM)是一种非常流行的基于排列的多重检验方法,用于估计假发现比例(FDP):所有被拒绝的假设中假阳性结果的比例。也许令人惊讶的是,到目前为止,这种方法还没有已知的特性。本文扩展SAM提供1-上置信界的FDP,使确切的信心声明可以。作为一种特殊情况,得到的估计FDP低估FDP的概率最多为0.5。此外,使用一个封闭的测试过程中,本文降低了上限和估计,在这样的方式,保持了置信水平。我们的方法基于随机排列的精确测试的一般结果。
Significance analysis of microarrays (SAM) is a highly popular permutation-based multiple-testing method that estimates the false discovery proportion (FDP): the fraction of false positive results among all rejected hypotheses. Perhaps surprisingly, until now this method had no known properties. This paper extends SAM by providing 1- upper confidence bounds for the FDP, so that exact confidence statements can be made. As a special case, an estimate of the FDP is obtained that underestimates the FDP with probability at most 0.5. Moreover, using a closed testing procedure, this paper decreases the upper bounds and estimates in such a way that the confidence level is maintained. We base our methods on a general result on exact testing with random permutations.