KMS Of Academy of mathematics and systems sciences, CAS
Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions | |
Zheng, Gang1; Xiong, Jinghong2; Li, Qizhai2![]() | |
2018-03-01 | |
Source Publication | SCANDINAVIAN JOURNAL OF STATISTICS
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ISSN | 0303-6898 |
Volume | 45Issue:1Pages:1-33 |
Abstract | 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. |
Keyword | chi-squared test Edgeworth expansion maximin efficiency robust test (MERT) maximum likelihood estimate nuisance parameter |
DOI | 10.1111/sjos.12283 |
Language | 英语 |
Funding Project | 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 Research Area | Mathematics |
WOS Subject | Statistics & Probability |
WOS ID | WOS:000424656000001 |
Publisher | WILEY |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29731 |
Collection | 系统科学研究所 |
Corresponding Author | Yuan, Ao |
Affiliation | 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 |
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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