Mathematical Sciences: Computationally Aggressive Approaches to Sequential Design

提案：DMS 95-04980 PI(s): Janis Hardwick - 1986， Quentin Stout - 1977机构：密歇根大学题目：顺序设计的计算进取方法摘要：本研究涉及实验顺序设计的设计和分析。特别强调的特点是i)通过新的计算机算法和使用高性能机器获得最佳设计和精确分析；Ii)产生实用的设计，以防止选择偏差或时间趋势等问题；Iii)设计的灵活性，使研究人员能够真实地表达他们的目标和资源约束。这些技术适用于广泛的应用，但将特别注意临床试验和工业测试（特别是在可靠性测试中，使用顺序方法来减少成本和/或时间）。贝叶斯模型和频率模型都将被考虑。本研究探讨了顺序实验设计的设计和分析，其中决策随着实验产生的信息的积累而适应或改变。使用新的计算机算法和高性能计算机，为临床试验和工业测试等领域的问题开发了新的设计。

Proposal: DMS 95-04980 PI(s): Janis Hardwick - 1986, Quentin Stout - 1977 Institution: University of Michigan Title: Comutationally Aggressive Approaches to Sequential Design Abstract: This research is concerned with the design and analysis of sequential designs for experiments. Features of particular emphasis are i) obtaining optimal designs and exact analyses through new computer algorithms and use of high performance machines; ii) generating practical designs which protect against problems such as selection bias or time trends; iii) flexibility in design, allowing researchers to realistically represent their goals and resource constraints. These techniques are applicable to a wide range of applications, but particular attention will be paid to clinical trials, and industrial testing (particularly in reliability testing, using sequential approaches to reduce costs and/or time). Both Bayesian and frequentist models will be considered. This research explores the design and analysis of sequential designs of experiments, in which decisions adapt or change as information arising from the experiment accrues. Using new computer algorithms and high performance computers, new designs are developed for problems in areas such as clinical trials and industrial testing .