Mathematical Sciences: Optimal Design of Experiments and Spline Modeling

优化设计确定了每个实验条件 最有效的统计分析， 数据;设计的最佳选择取决于 要做的分析。 本研究构建了优化设计， 现代数据分析方法，并检查设计 当某些实验条件已经确定时，问题。 第二个研究部分侧重于扩展现代数据 分析方法，特别是相互作用样条模型， 小波模型

Optimal design determines the experimental conditions for each observation for the most efficient statistical analysis of the data; and the best choice of design depends upon the kind of analysis to be done. This research constructs optimal designs for modern data analytic approaches and also examines the design problem when certain experimental conditions are already fixed. A second research component focusses on extending modern data analytic approaches, particularly interaction spline models and wavelet models.