A note on adaptive Bonferroni and Holm procedures under dependence

A note on adaptive Bonferroni and Holm procedures under dependence
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DOI:
10.1093/biomet/asp048
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发表时间:
2009-12
期刊:
影响因子:
2.7
通讯作者:
Wenge Guo
Wenge Guo
中科院分区:
数学2区
文献类型:
--
作者:
Wenge Guo

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Hochberg和Benjamini(1990)首先提出了控制族错误率的自适应方法。然而,到目前为止,它还没有被证明,这些程序控制familywise错误率。我们介绍了一个简化版本的Hochberg和Benjamini的自适应Bonferroni和霍尔姆程序。假设一个条件依赖模型,我们证明了前一个程序控制的家庭的错误率在有限的样本,而后者控制它近似。版权所有2009年,牛津大学出版社。
Hochberg & Benjamini (1990) first presented adaptive procedures for controlling familywise error rate. However, until now, it has not been proved that these procedures control the familywise error rate. We introduce a simplified version of Hochberg & Benjamini's adaptive Bonferroni and Holm procedures. Assuming a conditional dependence model, we prove that the former procedure controls the familywise error rate in finite samples while the latter controls it approximately. Copyright 2009, Oxford University Press.