Betensky R A
Department of Biostatistics, Harvard School of Public Health, Boston, Massachusetts 02115, USA.
Biometrics. 1997 Sep;53(3):807-22.
In this paper, we propose a simple means of designing and analyzing a sequential procedure for comparing survival data from three treatments with the goal of eventually identifying the best treatment. Our procedure consists of the concatenation of two sequential tests, as is suggested by Siegmund (1993, Annals of Statistics 21, 464-483) for instantaneous normal responses. The first sequential test is a global test that attempts to detect an overall treatment effect. If one is found, the least promising treatment is eliminated and a second sequential test attempts to identify the better of the two remaining treatments. Although there are three different information time scales to consider corresponding to each pairwise comparison, we show that under certain conditions they may be approximated by a single time scale. This enables us to gain insight into the problem of censored survival data from the more easily understood case of instantaneous normal data. Also, it eliminates the need for intensive computations and simulations for the design and analysis of the procedure.
在本文中，我们提出了一种简单的方法，用于设计和分析一种序贯程序，以比较三种治疗方法的生存数据，最终目标是确定最佳治疗方法。我们的程序由两个序贯检验串联组成，这是西格蒙德（1993年，《统计学年鉴》21卷，464 - 483页）针对瞬时正态反应所建议的。第一个序贯检验是一个全局检验，旨在检测总体治疗效果。如果发现有总体治疗效果，那么最没有前景的治疗方法将被剔除，然后进行第二个序贯检验，以确定剩下的两种治疗方法中哪一种更好。尽管对于每一对比较都有三种不同的信息时间尺度需要考虑，但我们表明在某些条件下，它们可以由单个时间尺度近似。这使我们能够从更容易理解的瞬时正态数据案例中深入了解删失生存数据的问题。此外，这也消除了对该程序的设计和分析进行密集计算和模拟的必要性。
