Analytic P-value calculation for the higher criticism test in finite d problems.

Analytic P-value calculation for the higher criticism test in finite d problems.
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DOI:
10.1093/biomet/asu033
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发表时间:
2014
期刊:
影响因子:
2.7
通讯作者:
Lin X
Lin X
中科院分区:
数学2区
文献类型:
--
作者:
Barnett IJ;Lin X

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较高的批评可有效检验稀疏替代方案的关节零假设,例如测试由D遗传标记组成的基因或遗传途径的作用。基于渐近分布的较高批评的准确p值计算需要非常大的D,而对于基因或途径中的遗传变异的数量并非如此。在本文中,我们提出了一种分析方法,该方法可以准确地计算有限D问题的较高批评测试的P值。与以前的治疗不同,此方法不依赖于D或模拟中的渐近学,并且在正态分布测试统计量时是任意d的。当D不大时,该方法在计算上特别有利。我们通过对肺癌的病例对照基因组的关联研究来说明提出的方法,并通过模拟将其功率与竞争方法进行比较。
The higher criticism is effective for testing a joint null hypothesis against a sparse alternative, e.g., for testing the effect of a gene or a genetic pathway that consists of d genetic markers. Accurate p-value calculations for the higher criticism based on the asymptotic distribution require a very large d, which is not the case for the number of genetic variants in a gene or a pathway. In this paper we propose an analytic method that accurately computes the p-value of the higher criticism test for finite d problems. Unlike previous treatments, this method does not rely on asymptotics in d or simulation, and is exact for arbitrary d when the test statistics are normally distributed. The method is particularly computationally advantageous when d is not large. We illustrate the proposed method with a case-control genome-wide association study of lung cancer and compare its power to competing methods through simulations.
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