Studies in Factorial and Response Surface Designs

因子和响应曲面设计研究

基本信息

  • 批准号:
    1106854
  • 负责人:
  • 金额:
    $ 10万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2011
  • 资助国家:
    美国
  • 起止时间:
    2011-08-15 至 2014-12-31
  • 项目状态:
    已结题

项目摘要

The objectives of this proposal are to develop new design theories and methodology for factor screening and response surface exploration and to construct efficient factorial and composite designs for practical use. The first part of this proposal studies fractional factorial designs constructed via quaternary codes. These designs often have a complex aliasing structure and a novel approach is introduced for finding defining relations among factors. A general theory is developed for obtaining important design properties such as resolution and wordlength pattern. Novel methods and algorithms are proposed for constructing optimal designs. These designs are shown to have better statistical properties than existing ones in the literature in terms of aberration, resolution and projectivity. The second part studies orthogonal array-based composite designs that consist of a two-level factorial design and a three-level orthogonal array. These composite designs have many desirable features and are effective for factor screening and response surface modeling. They can be used in a single experiment or in a sequential experiment. Efficient composite designs are constructed for practical use and they are shown to be better than central composite designs and other existing designs. This proposal employs a combination of mathematical, coding-theoretical and computational tools to tackle various important issues such as design properties and construction methods. Experimental design and analysis is an effective and commonly used tool in scientific investigations and industrial applications. Factorial designs are cost-efficient experimental plans for identifying important factors from a pool of variables; response surface designs are crucial for understanding a process or system and building empirical models. Such designs have been successfully used in industrial manufacturing for improving quality and productivity. Recent novel applications include biomedical experiments conducted at UCLA in order to find effective antiviral drug combinations or drug cocktails for treating herpes simplex virus and vesicular stomatitis virus. This proposal aims at developing novel methodology for constructing new efficient factorial and response surface designs. The results of the proposed research can be quickly assimilated into undergraduate and graduate courses on design and analysis of experiments for course enrichment. The proposed methods and designs can be applied in a wide variety of fields of application, including engineering, physical and chemical sciences, medicine and life sciences. The proposed research can lead to better practice in experimentation and help shorten investigation time and reduce experimental cost tremendously.
本研究的目的是发展新的设计理论和方法,用于因子筛选和响应面探索,并构建有效的析因设计和复合设计以供实际使用。 本建议的第一部分研究了通过四元码构造的部分析因设计。 这些设计往往有一个复杂的混叠结构和一个新的方法来寻找定义因素之间的关系。 一个通用的理论,以获得重要的设计性能,如分辨率和字长模式。提出了构造最优设计的新方法和算法。 这些设计被证明有更好的统计特性比现有的文献中的像差,分辨率和投影。 第二部分研究了基于正交表的复合设计,包括两水平析因设计和三水平正交表。 这些复合设计具有许多理想的功能,是有效的因素筛选和响应面建模。 它们可以用于单个实验或连续实验。 有效的复合设计构造的实际使用,他们被证明是优于中心复合设计和其他现有的设计。 该提案采用了数学,编码理论和计算工具的组合,以解决各种重要问题,如设计属性和施工方法。实验设计和分析是科学研究和工业应用中常用的有效工具。析因设计是从一组变量中识别重要因素的具有成本效益的实验计划;响应面设计对于理解过程或系统以及构建经验模型至关重要。 这种设计已成功地用于工业制造中,以提高质量和生产率。 最近的新应用包括在加州大学洛杉矶分校进行的生物医学实验,以找到有效的抗病毒药物组合或药物鸡尾酒治疗单纯疱疹病毒和水泡性口炎病毒。 该建议旨在开发新的方法来构建新的有效的因子和响应面设计。所提出的研究结果可以迅速吸收到本科和研究生课程的设计和分析实验课程丰富。 所提出的方法和设计可以应用于各种各样的应用领域,包括工程、物理和化学科学、医学和生命科学。该研究成果可指导实验实践,缩短研究时间,降低实验成本。

项目成果

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Hongquan Xu其他文献

Exponential Increase in an Ionic Signal: A Dominant Role of the Space Charge Effect on the Outer Surface of Nanochannels
离子信号的指数增加:纳米通道外表面空间电荷效应的主导作用
  • DOI:
    10.1021/acs.analchem.1c03431
  • 发表时间:
    2021
  • 期刊:
  • 影响因子:
    7.4
  • 作者:
    Xiaoqing Wu;Yu Li;Hongquan Xu;Yajie Chen;Haowei Mao;Qun Ma;Qiujiao Du;Pengcheng Gao;Fan Xia
  • 通讯作者:
    Fan Xia
Title A Two-Part Bayesian Model with Elicited Priors to Analyze Longitudinal Government Expenditures in Latin America Permalink
标题 具有引出先验的两部分贝叶斯模型,用于分析拉丁美洲的纵向政府支出 永久链接
  • DOI:
  • 发表时间:
    2013
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Felipe Nunes dos Santos;Felipe Nunes;Hongquan Xu;Nicolas Christou;Mark Handcock;Jorge Alexandre Neves
  • 通讯作者:
    Jorge Alexandre Neves
Regional and functional division of functional elements of solid-state nanochannels for enhanced sensitivity and specificity of biosensing in complex matrices
固态纳米通道功能元件的区域和功能划分,用于增强复杂基质中生物传感的灵敏度和特异性
  • DOI:
    10.1038/s41596-021-00574-6
  • 发表时间:
    2021-07
  • 期刊:
  • 影响因子:
    14.8
  • 作者:
    Pengcheng Gao;Dagui Wang;Cheng Che;Qun Ma;Xiaoqing Wu;Yajie Chen;Hongquan Xu;Xinchun Li;Yu Lin;Defang Ding;Xiaoding Lou;Fan Xia
  • 通讯作者:
    Fan Xia
Nonregular Factorial and Supersaturated Designs
  • DOI:
    10.1201/b18619-13
  • 发表时间:
    2015-06
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Hongquan Xu
  • 通讯作者:
    Hongquan Xu
Pure metallic 1T phase Sc-doped MoSsub2/sub Fusilli morphology for ultra-sensitive SERS detection
用于超灵敏 SERS 检测的纯金属 1T 相 Sc 掺杂 MoS₂ 螺旋状形貌
  • DOI:
    10.1016/j.jhazmat.2025.138043
  • 发表时间:
    2025-07-05
  • 期刊:
  • 影响因子:
    11.300
  • 作者:
    Hongquan Xu;Baizhi Li;Zhong Wang;Jingshu Wang;Maobin Wei;Yong Zhang;Huilian Liu;Ming Gao
  • 通讯作者:
    Ming Gao

Hongquan Xu的其他文献

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{{ truncateString('Hongquan Xu', 18)}}的其他基金

Design and Analysis of Experiments
实验设计与分析
  • 批准号:
    1743227
  • 财政年份:
    2017
  • 资助金额:
    $ 10万
  • 项目类别:
    Standard Grant
Studies in Factorial and Composite Designs with Applications to Drug Combination Experiments
因子设计和复合设计及其在药物组合实验中的应用研究
  • 批准号:
    1407560
  • 财政年份:
    2014
  • 资助金额:
    $ 10万
  • 项目类别:
    Continuing Grant
Construction and Analysis of Nonregular and Supersaturated Designs
非正则和过饱和设计的构造和分析
  • 批准号:
    0806137
  • 财政年份:
    2008
  • 资助金额:
    $ 10万
  • 项目类别:
    Standard Grant
Efficient Large Fractional Factorial Designs: Theory and Construction
高效的大型部分因子设计:理论与构造
  • 批准号:
    0505728
  • 财政年份:
    2005
  • 资助金额:
    $ 10万
  • 项目类别:
    Standard Grant
Nonregular Designs: Classification, Optimality and Construction
非正则设计:分类、优化和构造
  • 批准号:
    0204009
  • 财政年份:
    2002
  • 资助金额:
    $ 10万
  • 项目类别:
    Standard Grant

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