报告人:黄恒振 教授(广西师范大学)
时间:2026年7月15日下午15:00-16:00
地点:文昌校区第二教学楼320室
报告摘要:The statistical design for order-of-addition experiments has received much recent interest as its potential in determining the optimal sequence of multiple components, for example, the optimal sequence of drug administration for disease treatment. The traditional OofA experiments focus mainly on the sequence effects of components, i.e., the experimenters fix the factor level of each component and observe how the response is affected by varying the sequences of components. However, the components may also have factorial effects in that changing their factor levels in a given sequence can affect the response. In view of this, we consider the design problem for OofA experiments where each component is experimented at two levels. A systematic method is given to construct OofA designs that jointly considers the sequence design and factorial design for all components. By appropriately choosing the sequence and factorial designs, we show that the combination of the two parts results in a balanced design with an economical run size. Moreover, the constructed designs enjoy a number of optimality properties such as D-, A- and E-optimalities under some empirical models. The design method proposed can be extended to some other practical situations like the number of process variables is different from the number of components, and OofA experiments with multi-level components.
报告人简介:黄恒振,统计学博士,广西师范大学数学与统计学院教授,硕士研究生导师。主要研究方向为试验设计,研究兴趣包括最优设计、计算机试验设计以及均匀设计等,已在Biometrics、Technometrics、Scandinavian Journal of Statistics、Statistica Sinica等统计学权威期刊上发表学术论文30余篇,曾担任过SCI期刊《Current Bioinformatics》和《Mathematics》的客座主编。近年来先后主持国家级项目2项,省部级项目3项,曾获得广西高等教育自治区级教学成果奖二等奖,全国应用统计专业学位研究生教育教学成果奖三等奖等奖项。目前兼任中国现场统计研究会试验设计分会理事,全国工业统计教学研究会青年统计学家协会理事以及中国数学会均匀设计分会理事等职务。