KMS Of Academy of mathematics and systems sciences, CAS
Adjusted Log-rank Test with Double Inverse Weighting under Dependent Censoring | |
Guo, Yi Min1,2; Zhou, Jie3; Sun, Liu Quan1,2![]() | |
2021-10-01 | |
Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES
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ISSN | 1439-8516 |
Volume | 37Issue:10Pages:1573-1585 |
Abstract | It is a common issue to compare treatment-specific survival and the weighted log-rank test is the most popular method for group comparison. However, in observational studies, treatments and censoring times are usually not independent, which invalidates the weighted log-rank tests. In this paper, we propose adjusted weighted log-rank tests in the presence of non-random treatment assignment and dependent censoring. A double-inverse weighted technique is developed to adjust the weighted log-rank tests. Specifically, inverse probabilities of treatment and censoring weighting are involved to balance the baseline treatment assignment and to overcome dependent censoring, respectively. We derive the asymptotic distribution of the proposed adjusted tests under the null hypothesis, and propose a method to obtain the critical values. Simulation studies show that the adjusted log-rank tests have correct sizes whereas the traditional weighted log-rank tests may fail in the presence of non-random treatment assignment and dependent censoring. An application to oropharyngeal carcinoma data from the Radiation Therapy Oncology Group is provided for illustration. |
Keyword | Adjusted log-rank test dependent censoring double inverse weighting survival data |
DOI | 10.1007/s10114-021-0050-1 |
Indexed By | SCI |
Language | 英语 |
Funding Project | Beijing Municipal Education Commission[KM202010028017] ; National Natural Science Foundation of China[11771431] ; National Natural Science Foundation of China[11690015] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; Academy for Multidisciplinary Studies of Capital Normal University |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000707010700008 |
Publisher | SPRINGER HEIDELBERG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59381 |
Collection | 应用数学研究所 |
Corresponding Author | Zhou, Jie |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China |
Recommended Citation GB/T 7714 | Guo, Yi Min,Zhou, Jie,Sun, Liu Quan. Adjusted Log-rank Test with Double Inverse Weighting under Dependent Censoring[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2021,37(10):1573-1585. |
APA | Guo, Yi Min,Zhou, Jie,&Sun, Liu Quan.(2021).Adjusted Log-rank Test with Double Inverse Weighting under Dependent Censoring.ACTA MATHEMATICA SINICA-ENGLISH SERIES,37(10),1573-1585. |
MLA | Guo, Yi Min,et al."Adjusted Log-rank Test with Double Inverse Weighting under Dependent Censoring".ACTA MATHEMATICA SINICA-ENGLISH SERIES 37.10(2021):1573-1585. |
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