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A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data
Li, Tao1; Wu, Mengyun1; Zhou, Yong1,2
2018
Source PublicationSTATISTICS AND ITS INTERFACE
ISSN1938-7989
Volume11Issue:3Pages:531-540
AbstractIn two sample studies, the treatment effects that we are interested in may have different types, such as mean difference, the difference of probabilities, etc. In this work, we apply semi-parametric empirical likelihood principle to length biased data and derived a unified empirical likelihood ratio confidence interval for treatment effects. The empirical likelihood ratio is shown to be asymptotically distributed as chi-squared. Simulation studies show that the proposed confidence interval has a better performance compared with its counterpart which is based on normal approximation. The severe effect caused by ignoring the length bias is also illustrated by simulation. The proposed method is applied to Oscar data to study the effect of high socio-economic status on lifetime.
KeywordEmpirical likelihood Estimating equation Treatment effect Censored data Length-biased
Language英语
Funding ProjectState Key Program of NNSF of China[91546202] ; NNSF of China[61402276] ; State Key Program of NNNSF of China[71331006] ; State Key Program in the Major Research Plan of NNSF of China[91546202]
WOS Research AreaMathematical & Computational Biology ; Mathematics
WOS SubjectMathematical & Computational Biology ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000444723900014
PublisherINT PRESS BOSTON, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31216
Collection应用数学研究所
Affiliation1.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li, Tao,Wu, Mengyun,Zhou, Yong. A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data[J]. STATISTICS AND ITS INTERFACE,2018,11(3):531-540.
APA Li, Tao,Wu, Mengyun,&Zhou, Yong.(2018).A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data.STATISTICS AND ITS INTERFACE,11(3),531-540.
MLA Li, Tao,et al."A unified semi-empirical likelihood ratio confidence interval for treatment effects in the two sample problem with length-biased data".STATISTICS AND ITS INTERFACE 11.3(2018):531-540.
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