Mathematical Sciences: Studies in Efficient and Optimal Design and Analysis of Experiments

数学科学：实验的高效优化设计与分析研究

• 批准号: 9113038
• 负责人: Sam Hedayat
• 金额: $ 5.33万
• 依托单位: University of Illinois at Chicago
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-01 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9113038&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Studies; Efficient; Optimal

Careful design of an experiment may yield a more direct as well as a more efficient and precise analysis at the experiment's completion; this research gives mathematical constructions for optimal designs in several important experimental situations. Optimal repeated measurements designs can be used whenever sequences of observations are made on each experimental unit or whenever a collective analysis of curves is planned. For the many circumstances where the greatest source of uncertainty lies in the initial choice of model, designs will be constructed which are robust against deviations from a postulated model. For situations in which some highly desirable observations are impossible or excessively costly, criteria and algorithms will be developed using combinatorial and optimization theories for choice among "near-optimal" designs.

精心设计的实验可能会产生更直接的结果， 以及在实验中更有效和精确的分析， 完成;这项研究给出了数学结构， 在几个重要的实验情况下的优化设计。 最佳重复测量设计可用于 对每个实验单元进行一系列观察，或者 每当计划对曲线进行集体分析时。 为 许多情况下，最大的不确定性来源在于 在最初选择模型时，将构建设计， 对假设模型的偏差是鲁棒的。为 在某些情况下，一些非常可取的意见， 不可能或过于昂贵，标准和算法将 利用组合和优化理论， 选择“接近最优”的设计。