Tests for comparing estimated survival functions

• 成果类型: Article
• 署名作者: Chauvel, C.; O'Quigley, J.
• 署名单位: Sorbonne Universite
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asu015
• 发表日期: 2014
• 页码: 535552
• 关键词: cancer prevention; screening trials; statistics; MODEL; time; likelihood; maximum

摘要

We describe a class of statistical tests for the comparison of two or more survival curves, typically estimated using the Kaplan-Meier method. The class is based on the construction of O'Quigley (2003), and some special cases are of particular interest. Underlying the inferential development are the arguments of Efron & Hinkley (1978), leading to a theoretical sampling model that is in some sense closer to the observed data. The log-rank and weighted log-rank tests arise as special members of the class. In practice the log-rank test will often be a suboptimal, even poor, test due to the presence of non-proportional hazards. The proposed test maintains good power and, in all the cases considered, has greater power than the log-rank test under non-proportional hazards. The power will depend on the alternatives being considered, and under reasonable assumptions on the alternatives, we conclude that the proposed test is more powerful than the log-rank test. Simulations support these conclusions. An example is given as an illustration.