Mathematical Sciences: Studies in Optimal and Efficient Design of Experiments

本文研究的是阶乘的构造 对时间趋势具有鲁棒性的实验设计， 其中误差更普遍地相关。 的问题 包括（i）最佳和有效块和行列设计 当观察结果为 自相关，（ii）最佳和有效的设计，估计 或者预测区域上的响应面， 错误和（iii）生成分数的系统方法 析因设计，以满足特定的实验需要， 尽可能跑。 这项研究属于统计学的一个子领域， 实验设计，包括制定计划， 有效地分配资源。 这项工作将扩大 目前的实验设计理论， 适应在一段时间内收集数据的实验 时间，而不是同时。

This research is on the construction of factorial experimental designs which are robust against time trends and where errors are more generally correlated. The problems include (i) optimal and efficient block and row-column designs for comparing treatments when the observations are autocorrelated, (ii) optimal and efficient designs for estimating or predicting a response surface over a region for correlated errors and (iii) systematic methods of generating fractional factorial designs to meet specific experimental needs with as few runs as possible. This research is in a subfield of statistics called experimental design which involves the development of plans for allocating resources efficiently. This work will extend the current theory on experimental design to more appropriately accommodate experiments in which data is collected over a period of time, rather than all at the same time.