Two-Sample Statistics for Testing the Equality of Survival Functions Against Improper Semi-parametric Accelerated Failure Time Alternatives: An Application to the Analysis of a Breast Cancer Clinical Trial

被引:0
作者
Philippe Broët
Alexander Tsodikov
Yann De Rycke
Thierry Moreau
机构
[1] Paul Brousse Hospital,Department of Public Health and National Institute for Health and Medical Research (INSERM U472)
[2] Institut Curie,undefined
[3] Huntsman Cancer Institute 2000 Circle of Hope,undefined
来源
Lifetime Data Analysis | 2004年 / 10卷
关键词
accelerated failure time models; cure rate model; improper model; semi-parametric model;
D O I
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中图分类号
学科分类号
摘要
This paper presents two-sample statistics suited for testing equality of survival functions against improper semi-parametric accelerated failure time alternatives. These tests are designed for comparing either the short- or the long-term effect of a prognostic factor, or both. These statistics are obtained as partial likelihood score statistics from a time-dependent Cox model. As a consequence, the proposed tests can be very easily implemented using widely available software. A breast cancer clinical trial is presented as an example to demonstrate the utility of the proposed tests.
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页码:103 / 120
页数:17
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共 52 条
[1]  
Aalen O. O.(1978)Nonparametric inference for a family of counting processes Ann. Stat. 6 701-726
[2]  
Aalen O. O.(1992)Modelling heterogeneity in survival analysis by the compound Poisson distribution Ann. Appl. Prob. 2 951-972
[3]  
Breslow N. E.(1972)Contribution to the discussion on the paper by D.R. Cox' Regression and life tables J. Roy. Statist. Soc., B 34 216-217
[4]  
Breslow N. E.(1974)Covariance analysis of censored survival datas Biometrics 30 89-99
[5]  
Broët P.(2001)A semi-parametric approach for the two-sample comparison of survival times with long-term survivors Biometrics 57 844-852
[6]  
De Rycke Y.(1992)Parametric versus non-parametric methods for estimating cure rates based on censored survival data Stat. Med. 11 931-937
[7]  
Tubert-Bitter P.(1989)A linear rank test for use when the main interest is in differences in cure rates Biometrics 45 899-904
[8]  
Lellouch J.(1999)A new Bayesian model for survival data with a surviving fraction J. Amer. Statist. Assoc. 94 909-919
[9]  
Asselain B.(2001)Bayesian semiparametric models for survival data with a cure fraction Biometrics 57 383-388
[10]  
Moreau T.(1958)Nonparametric estimation from incomplete observations J. Am. Stat. Assoc. 53 457-581