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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 PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
Volume37Issue:10Pages:1573-1585
AbstractIt 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.
KeywordAdjusted log-rank test dependent censoring double inverse weighting survival data
DOI10.1007/s10114-021-0050-1
Indexed BySCI
Language英语
Funding ProjectBeijing 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 AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000707010700008
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59381
Collection应用数学研究所
Corresponding AuthorZhou, Jie
Affiliation1.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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