Mathematical Sciences: On the Determination and Constructionof Efficient and Robust Experimental Designs

使用实验条件或实验单元或材料安排的最佳选择可以最大限度地提高从实验得出的推论的精确度。这项研究将构建在相邻实验单元之间存在相关性的情况下高效和稳健的数学设计，基于聚类技术的设计高效并允许检测与模型假设的偏离，以及可同时或随后用于分离在初始部分析因筛选实验中混淆的因素或因素组合的影响的设计。

Using the optimal choice of experimental conditions or of arrangements of experimental units or material maximizes the precision of the inferences drawn from the experiment. This research will construct mathematically designs which are efficient and robust in the presence of correlations among adjacent experimental units, designs based on clustering techniques which are efficient and also permit detection of departures from model assumptions, and designs which can be used simultaneously or subsequently to separate effects of factors or combinations of factors which are confounded in an initial fractional factorial screening experiment.