Mathematical Sciences: Design of Experiments: Improving Practicability of Some Useful Concepts

数学科学：实验设计：提高一些有用概念的实用性

• 批准号: 9504882
• 负责人: John Stufken
• 金额: $ 7.5万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9504882&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Design; Experiments; Improving

Proposal: DMS 9504882 PI: John Stufken Institution: Iowa State University Title: Design of Experiments: Improving Practicability of some Useful Concepts Abstract: This research focuses on developing tools to obtain efficient designs for various settings. It involves the development of algorithms and, where needed, supporting theory. Issues that are addressed include blocking in mixture experiments, avoiding undesirable level combinations in factorial experiments, and converting a given block design to a trend-free or nearly trend-free version of that design. A critical concept is a generalization of the idea of trade-off in block designs. Designed experiments are essential in most industrial experiments and in many areas of scientific research. It is almost always crucial to use limited available resources efficiently, and to assure that the collected data can be used to answer questions of interest reliably. Areas of application include experiments for product quality assessment and improvement in industrial production processes, and experiments for quantitative research in, for example, agricultural sciences, social sciences, and engineering disciplines. Much of the research in design of experiments concentrates on identifying efficient designs for a specific problem, often not broad enough to be relevant for more than one area of application. The usefulness of previous work has at times been limited by restrictions on the results induced by the mostly mathematical tools used to derive the results. Application of some of these methods has also suffered from the mathematical sophistication that is required from a user. The investigator develops new methods and algorithms to find efficient designs for various specific problems. These algorithms, which can be implemented easily with existing computer software, facilitate use of the new methods, and do not require any mathematical sophistication of a user.

提案：DMS 9504882 PI：John Stufken机构：爱荷华州州立大学标题：实验设计：提高一些有用概念的实用性 摘要： 这项研究的重点是开发工具，以获得各种设置的有效设计。它涉及到发展 算法，并在需要时，支持理论。所解决的问题包括混料试验中的区组设计、析因试验中避免不期望的水平组合以及将给定的区组设计转换为无趋势或接近无趋势的设计 这个设计的版本。一个重要的概念是区组设计中权衡思想的推广。 设计实验在大多数工业实验中是必不可少的， 在许多科学研究领域。它几乎总是至关重要的， 有效地利用有限的可用资源，并确保收集的数据可用于可靠地回答感兴趣的问题。 应用领域包括产品质量实验 工业生产过程的评估和改进，以及 定量研究的实验，例如，农业 科学、社会科学和工程学科。实验设计的大部分研究集中在为特定问题确定有效的设计，通常不够广泛，与多个应用领域相关。以前的工作的有用性有时受到限制的结果所引起的主要是数学工具来推导结果的限制。这些方法中的一些方法的应用也受到用户所需的数学复杂性的影响。 研究人员开发了新的方法和算法， 针对各种具体问题的高效设计。这些算法， 其可以容易地用现有的计算机软件实现， 促进新方法的使用，并且不需要任何 用户的数学复杂度。