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.
中科院分区:
文献类型:
--
作者:
Hemerik, Jesse;Goeman, Jelle J.
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.