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的安排的最佳选择，最大限度地提高了从实验中得出的推论的精度。本研究将构建数学设计，这是有效的和强大的相邻的实验单元之间的相关性，设计基于聚类技术，这是有效的，也允许检测偏离模型的假设，和设计，可以同时使用或随后分离的影响因素或因素的组合，这是混淆在一个初始的部分析因筛选实验。

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.