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Multiple permutation test for high-dimensional data: a components-combined algorithm

本站小编 Free考研/2020-04-17

文献详情
Multiple permutation test for high-dimensional data: a components-combined algorithm
文献类型:期刊
通讯作者:Zhu, LX (reprint author), Anhui Univ, Sch Math, Hefei 230601, Anhui, Peoples R China.
期刊名称:JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION影响因子和分区
年:2019
卷:89
期:4
页码:686-707
ISSN:0094-9655
关键词:Components-combined algorithm; multiple permutation testing; mean testing; correlation matrices testing; type I error rate
所属部门:统计学院
摘要:Multiple permutation testing is a test method combining the idea of permutation and multiple testing. It first employs the permutation testing to calculate p-values for single tests, and then determines the result based on criteria of multiple testing. To well control type I error rate, the classical method needs a large number of permutation samples for calculating p-values. When the dimension of data, m, is high, the permutation procedure is very time consuming. This paper proposes a component ...More
Multiple permutation testing is a test method combining the idea of permutation and multiple testing. It first employs the permutation testing to calculate p-values for single tests, and then determines the result based on criteria of multiple testing. To well control type I error rate, the classical method needs a large number of permutation samples for calculating p-values. When the dimension of data, m, is high, the permutation procedure is very time consuming. This paper proposes a components-combined algorithm for the type I error rate control. The new algorithm only requires a small and fixed number of permutation samples for any dimension of data and can achieve the same approximation accuracy of p-values as the classical method. Therefore, it reduces the computational amount of multiple permutation testing procedures from to . The algorithm is then applied to several testing problems and the power performance is examined by simulations and comparisons with existing methods. ...Hide

DOI:10.1080/00949655.2019.1571058
百度学术:Multiple permutation test for high-dimensional data: a components-combined algorithm
语言:外文
人气指数:3
浏览次数:3
基金:University Grants Committee of Hong Kong; National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11471335]; MOE Project of Key Research Institute of Humanities and Social Sciences at Universities [16JJD910002]; Anhui UniversityAnhui University [J01006185]
作者其他论文



A combined p-value test for the mean difference of high-dimensional data.Yu, Wei, Xu, Wangli, Zhu, Lixing,.SCIENCE CHINA-MATHEMATICS. 2019, 62(5), 961-978.
Nonparametric independence screening for ultra-high dimensional generalized varying coefficient models with longitudinal data.Zhang, Shen, Zhao, Peixin, Li, Gaorong, et al. .JOURNAL OF MULTIVARIATE ANALYSIS. 2019, 171, 37-52.
A modified mean-variance feature-screening procedure for ultrahigh-dimensional discriminant analysis.He, Shengmei, Ma, Shuangge, Xu, Wangli,.COMPUTATIONAL STATISTICS & DATA ANALYSIS. 2019, 137, 155-169.
Model checks for functional linear regression models based on projected empirical processes.Chen, Feifei, Jiang, Qing, Feng, Zhenghui, et al. .COMPUTATIONAL STATISTICS & DATA ANALYSIS. 2020, 144.
On some characterizations and multidimensional criteria for testing homogeneity, symmetry and independencel.Chen, Feifei, Meintanis, Simos G., Zhu, Lixing,.JOURNAL OF MULTIVARIATE ANALYSIS. 2019, 173, 125-144.

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