KMS Of Academy of mathematics and systems sciences, CAS
| 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
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| 2018 | |
| Source Publication | STATISTICS AND ITS INTERFACE
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| ISSN | 1938-7989 |
| Volume | 11Issue:3Pages:531-540 |
| Abstract | In 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. |
| Keyword | Empirical likelihood Estimating equation Treatment effect Censored data Length-biased |
| Language | 英语 |
| Funding Project | State 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 Area | Mathematical & Computational Biology ; Mathematics |
| WOS Subject | Mathematical & Computational Biology ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000444723900014 |
| Publisher | INT PRESS BOSTON, INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31216 |
| Collection | 应用数学研究所 |
| Corresponding Author | Li, Tao |
| Affiliation | 1.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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