Asymptotic properties of adaptive designs for clinical trials with delayed response

• 成果类型: Article
• 署名作者: Bai, ZD; Hu, FF; Rosenberger, WF
• 署名单位: National University of Singapore; University of Virginia; University System of Maryland; University of Maryland Baltimore County; University System of Maryland; University of Maryland Baltimore
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 2002
• 页码: 122-139
• 关键词: urn models; THEOREMS

摘要

For adaptive clinical trials using a generalized Friedman's urn design, we derive the limiting distribution of the urn composition under staggered entry and delayed response. The stochastic delay mechanism is assumed to depend on both the treatment assigned and the patient's response. A very general setup is employed with K treatments and L responses. When L = K = 2, one example of a generalized Friedman's urn design is the randomized play-the-winner rule. An application of this rule occurred in a clinical trial of depression, which had staggered entry and delayed response. We show that maximum likelihood estimators from such a trial have the usual asymptotic properties.