Robust design with application and implementation

稳健的设计与应用和实施

• 批准号: 341783-2007
• 负责人: Xu, Xiaojian
• 金额: $ 0.87万
• 依托单位: Brock University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=429859
• 关键词: Robust; design; application; implementation

My work focuses on constructing the experimental designs for regression problems. Good designs should lead to small biases in the estimates when the fitted model is incorrect, and should also be efficient (i.e., lead to small variances) in the estimates when the fitted model is in fact correct. I intend to work on the design constructions for the regression problem with a very general setup. The regression responses are considered to be a function of a linear function. We watch for the situation where the fitted model may not exactly represent the truth. Other possible departures from the usual assumptions are also taken into account. Errors may not equally vary as they are assumed, for instance.

我的工作重点是构建回归问题的实验设计。当拟合的模型不正确时，良好的设计应该导致估计中的小偏差，并且当拟合的模型实际上是正确的时，良好的设计也应该是有效的（即，导致小方差）。我打算用一个非常一般的设置来研究回归问题的设计结构。回归响应被认为是线性函数的函数。我们观察拟合模型可能不完全代表事实的情况。其他可能偏离通常假设的情况也被考虑在内。例如，错误的变化可能不像假设的那样相等。