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报告题目:Wordlength enumerator for fractional factorial designs 

报告人:唐煜  教授

报告摘要:While the minimum aberration criterion is popular for selecting good designs with qualitative factors under an ANOVA model, the minimum β-aberration criterion is more suitable for selecting designs with quantitative factors under a polynomial model. In this paper, we propose the concept of wordlength enumerator to unify these two criteria. The wordlength enumerator is defined as an average similarity of contrasts among all possible pairs of runs. The wordlength enumerator is easy and fast to compute, and can be used to compare and rank designs efficiently. Based on the wordlength enumerator, we develop simple and fast methods for calculating both the generalized wordlength pattern and the β-wordlength pattern. We further obtain a lower bound of the wordlength enumerator for three-level designs and characterize the combinatorial structure of designs achieving the lower bound. Finally, we propose two methods for constructing supersaturated designs that have both generalized minimum aberration and minimum β-aberration.


报告地点:腾讯会议  ID: 654 813 775


报告人简介:唐煜,苏州大学数学科学学院教授。主要从事统计学试验设计与分析的研究。主持国家自然科学基金和江苏省自然科学基金等多项课题。在Annals of StatisticsBiometrikaSCI期刊上发表学术论文二十余篇。现任中国现场统计研究会试验设计分会常务理事、中国数学会均匀设计分会常务委员、江苏省概率统计学会副理事长、江苏省统计学会理事及苏州市现场统计研究会理事长等。