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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
Source PublicationSCANDINAVIAN JOURNAL OF STATISTICS
ISSN0303-6898
Volume45Issue:1Pages:1-33
AbstractThe 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.
Keywordchi-squared test Edgeworth expansion maximin efficiency robust test (MERT) maximum likelihood estimate nuisance parameter
DOI10.1111/sjos.12283
Language英语
Funding ProjectSpecial 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 Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000424656000001
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29731
Collection系统科学研究所
Affiliation1.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
Recommended Citation
GB/T 7714
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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