JSM 2011 Online Program

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Abstract Details

Activity Number: 333
Type: Topic Contributed
Date/Time: Tuesday, August 2, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #300694
Title: A General Framework for Sequential and Adaptive Methods in Survival Studies
Author(s): Gongjun Xu*+ and Xiaolong Luo and Zhiliang Ying
Companies: Columbia University and Celgene Corporation and Columbia University
Address: , New York, NY, 10027, US
Keywords: Sequential analysis ; Adaptive designs ; the Cox model ; Marked point process
Abstract:

Adaptive treatment allocation schemes based on interim responses have generated a great deal of recent interest in clinical trials and other follow-up studies. An important application of such schemes is in survival studies, where the response variable of interest is time to the occurrence of certain event. Due to possible dependency structure inherited in the enrollment and allocation schemes, existing approaches to survival models, including those that handle the staggered entry, cannot be applied directly. This paper develops a new general framework to handle such adaptive designs. The new approach is based on marked point processes and differs from existing approaches by considering entry and calender time rather than survival and calender time. Large sample properties, which are essential for statistical inferences, are established. Special attention is given to the Cox model and related score processes. Applications to adaptive and sequential designs are discussed.


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