Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions

doi:10.1111/sjos.12283

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	Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions
	Zheng, Gang 1; Xiong, Jinghong 2; Li, Qizhai2 ; Xu, Jinfeng 3; Yuan, Ao 4; Gastwirth, Joe L.5
	2018-03-01
Source Publication	SCANDINAVIAN JOURNAL OF STATISTICS
ISSN	0303-6898
Volume	45 Issue:1 Pages: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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