KARL PEARSON'S META-ANALYSIS REVISITED
KARL PEARSON'S META-ANALYSIS REVISITED
复制标题
DOI：
10.1214/09-aos697
复制
发表时间：
2009-12-01
影响因子：
4.5
通讯作者：
Owen, Art B.
中科院分区：
文献类型：
--
作者：
Owen, Art B.
本文回顾了Pearson [Biometrika 26(1934) 425-442]提出的、David [Biometrika 26(1934) 1-11]首次使用的元分析方法。它被认为是不可接受的超过50年，可以追溯到伯恩鲍姆的一篇论文[J]。阿米尔-集权。协会。49(1954)559-574]。事实证明，伯恩鲍姆分析的方法并不是皮尔逊提出的方法。我们证明皮尔逊的提议是可以接受的。因为它是可接受的，所以它在某些方面比Fisher[研究工作者的统计方法（1932）Oliver和Boyd]的标准检验具有更好的效力，而在其他方面则更差。皮尔逊方法在所有或大部分非零参数具有相同符号时具有优势。皮尔逊的测试已被证明在基因组设置中有用，用于筛选与年龄相关的基因。本文还提出了一种基于fft的非负随机变量和的CDF的硬上界和下界的求取方法。
This paper revisits a meta-analysis method proposed by Pearson [Biometrika 26 (1934) 425-442] and first used by David [Biometrika 26 (1934) 1-11]. It was thought to be inadmissible for over fifty years, dating back to a paper of Birnbaum [J. Amer Statist. Assoc. 49 (1954) 559-574]. It turns out that the method Birnbaum analyzed is not the one that Pearson proposed. We show that Pearson's proposal is admissible. Because it is admissible, it has better power than the standard test of Fisher [Statistical Methods for Research Workers (1932) Oliver and Boyd] at some alternatives, and worse power at others. Pearson's method has the advantage when all or most of the nonzero parameters share the same sign. Pearson's test has proved useful in a genomic setting, screening for age-related genes. This paper also presents an FFT-based method for getting hard upper and lower bounds on the CDF of a sum of nonnegative random variables.