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Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions
Zheng, Gang1; Xiong, Jinghong2; Li, Qizhai2; Xu, Jinfeng3; Yuan, Ao4; Gastwirth, Joe L.5
2018-03-01
发表期刊SCANDINAVIAN JOURNAL OF STATISTICS
ISSN0303-6898
卷号45期号:1页码:1-33
摘要The asymptotic distributions of many classical test statistics are normal. The resulting approximations are often accurate for commonly used significance levels, 0.05 or 0.01. In genome-wide association studies, however, the significance level can be as low as 1x10(-7), and the accuracy of the p-values can be challenging. We study the accuracies of these small p-values are using two-term Edgeworth expansions for three commonly used test statistics in GWAS. These tests have nuisance parameters not defined under the null hypothesis but estimable. We derive results for this general form of testing statistics using Edgeworth expansions, and find that the commonly used score test, maximin efficiency robust test and the chi-squared test are second order accurate in the presence of the nuisance parameter, justifying the use of the p-values obtained from these tests in the genome-wide association studies.
关键词chi-squared test Edgeworth expansion maximin efficiency robust test (MERT) maximum likelihood estimate nuisance parameter
DOI10.1111/sjos.12283
语种英语
资助项目Special National Key Research and Development Plan[2016YFD0400206] ; Breakthrough Project of Strategic Priority Program of the Chinese Academy of Sciences[XDB13040600] ; Youth Innovation Promotion Association of the Chinese Academy of Sciences
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000424656000001
出版者WILEY
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/29731
专题系统科学研究所
通讯作者Yuan, Ao
作者单位1.NHLBI, Off Biostat Res, Bldg 10, Bethesda, MD 20892 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Hong Kong, Dept Stat & Actuarial Sci, Pokfulam, Hong Kong, Peoples R China
4.Georgetown Univ, Dept Biostat Bioinformat & Biomath, Washington, DC 20057 USA
5.George Washington Univ, Dept Stat, Washington, DC 20052 USA
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Zheng, Gang,Xiong, Jinghong,Li, Qizhai,et al. Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions[J]. SCANDINAVIAN JOURNAL OF STATISTICS,2018,45(1):1-33.
APA Zheng, Gang,Xiong, Jinghong,Li, Qizhai,Xu, Jinfeng,Yuan, Ao,&Gastwirth, Joe L..(2018).Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions.SCANDINAVIAN JOURNAL OF STATISTICS,45(1),1-33.
MLA Zheng, Gang,et al."Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions".SCANDINAVIAN JOURNAL OF STATISTICS 45.1(2018):1-33.
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