Mathematical Sciences: Studies in Efficient Design and Analysis of Experiments

数学科学：实验的有效设计和分析研究

• 批准号: 9100938
• 负责人: Ching-Shui Cheng
• 金额: $ 16.32万
• 依托单位: University of California-Berkeley
• 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: 1991-06-01 至 1994-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9100938&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Studies; Efficient; Design

This proposal relates the design of an experiment, i.e., its particular choices of experimental conditions, and the implications for the statistical analysis of the resulting data. "Optimal" designs will be constructed for discrete settings, and research will be continued on asymmetrical orthogonal arrays. In addition, the relationships between the design and dimension reduction procedures used in the analysis will be explored; and a theory will be developed for determining for which designs these analytic techniques work, and perhaps leading to the development of new designs with optimality properties for such analyses.

该建议涉及实验的设计，即，其 实验条件的特殊选择，以及 对所得数据进行统计分析。 “最佳” 设计将被构造为离散设置， 将在非对称正交表上继续。 此外，本发明还提供了一种方法， 设计与降维的关系 将探讨分析中使用的程序;理论将 开发用于确定这些分析的设计 技术的工作，也许导致新的发展， 具有最优性属性的设计用于此类分析。