Sample Size Determination Under Non-proportional Hazards

被引:1
作者
Yang, Miao [1 ]
Hua, Zhaowei [2 ]
Vardhanabhuti, Saran [3 ]
机构
[1] Oregon State Univ, Dept Stat, Corvallis, OR 97331 USA
[2] Alnylam Pharmaceut Inc, Cambridge, MA 02142 USA
[3] Takeda Pharmaceut, Cambridge, MA 02139 USA
来源
PHARMACEUTICAL STATISTICS (MBSW 39) | 2019年 / 218卷
关键词
Non-proportional hazards; Sample size; Time-to-event endpoint; Log-rank test; Cancer immunotherapy; Power analysis;
D O I
10.1007/978-3-319-67386-8_12
中图分类号
R9 [药学];
学科分类号
1007 ;
摘要
The proportional hazards assumption rarely holds in clinical trials of cancer immunotherapy. Specifically, delayed separation of the Kaplan-Meier survival curves and long-term survival have been observed. Routine practice in designing a randomized controlled two-arm clinical trial with a time-to-event endpoint assumes proportional hazards. If this assumption is violated, traditional methods could inaccurately estimate statistical power and study duration. This article addresses how to determine the sample size in the presence of nonproportional hazards (NPH) due to delayed separation, diminishing effects, etc. Simulations were performed to illustrate the relationship between power and the number of patients/events for different types of nonproportional hazards. Novel efficient algorithms are proposed to optimize the selection of a cost-effective sample size.
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页码:157 / 165
页数:9
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