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Investigation and Construction of Statistical Designs for Multifactorial Experiments

多因素实验统计设计的调查和构建

基本信息

批准号：
9803596
负责人：
Sam Hedayat
金额：
$ 8.87万
依托单位：
University of Illinois at Chicago
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1998
资助国家：
美国
起止时间：
1998-07-15 至 2002-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9803596&HistoricalAwards=false
关键词：
Investigation Construction Statistical Designs Multifactorial

项目摘要

----------------------------------------------------------------------- Proposal Number: DMS 9803596 PI: Samad Hedayat Institution: University of Illinois at Chicago Project: Investigation and Construction of Statistical Designs for Multifactorial Experiments Abstract: The investigator studies statistical problems in the area of design and analyses of scientific and industrial experiments in which the outcomes are influenced by multiple factors and noise. The goal will be to identify the best factor combinations while minimizing and measuring the noise. The research effort is mainly concentrated in the construction of designs capable of investigating location and dispersion effects, compound orthogonal arrays with high strength, g-designs as core sub-designs ,and orthogonal arrays of strength t plus. The success of any serious scientific study depends on the way it is designed and the related data being collected and analyzed. Noise is the biggest nuisance while the goal is to relate the outcomes to the levels of the factors influencing the study. This is true in almost all social, engineering, environmental, and medical studies. It is costly and indeed unwise to eliminate noise entirely. Indeed in many studies it will be enough if one knows the source and the intensity of noise. Under the latter condition it is possible to explore how the surrounding factors are impacting the outcomes. The investigator explores all these interconnected topics and identifies new cost- and time-effective and improved statistical designs capable of handling these highly complicated scientific issues.

-----------------------------------------------------------------------提案号：DMS 9803596 PI: Samad Hedayat机构：伊利诺伊大学芝加哥分校项目：多因子实验统计设计的调查与构建研究者研究科学和工业实验的设计和分析领域的统计问题，其中结果受多种因素和噪声的影响。目标将是确定最佳的因素组合，同时最小化和测量噪声。研究工作主要集中在能够研究位置和色散效应的设计、高强度复合正交阵列、以g为核心子设计和t +强度正交阵列的构建上。任何严肃的科学研究的成功都取决于它的设计方式和相关数据的收集和分析。噪音是最大的麻烦，而我们的目标是将结果与影响研究的因素的水平联系起来。在几乎所有的社会、工程、环境和医学研究中都是如此。完全消除噪音是昂贵的，而且确实是不明智的。事实上，在许多研究中，只要知道噪声的来源和强度就足够了。在后一种情况下，有可能探索周围因素如何影响结果。研究者探索所有这些相互关联的主题，并确定新的成本和时间效益和改进的统计设计能够处理这些高度复杂的科学问题。