一种构造多水平超饱和设计的新方法  

A New Method in the Construction of Multi-Level Supersaturated Designs

作　　者：陆璇[1] 万志诚[1] 

机构地区：[1]清华大学数学科学系,北京100084

出　　处：《应用概率统计》2009年第6期578-586,共9页Chinese Journal of Applied Probability and Statistics

摘　　要：超饱和设计在搜索试验中有重要应用.自上世纪九十年代迄今,超饱和设计的研究取得了丰硕成果,研究的设计从二水平发展到多水平,进而到混合水平;构造方法从巧妙的构思到利用组合理论进行系统构造,进而到各种算法的开发;对于超饱和设计的评优准则也有更深入的认识.本文介绍一种构造多水平超饱和设计的新方法.这种方法简单易行,很容易构造出具有优良性质的多水平超饱和设计,有很强的实用性.Supersaturated designs are very useful in screening experiments. Prom nineties of the last century to present, the research on supersaturated designs has got fruitful results. Designs under study include two-level, multi-level and mixed-level types, and methods of construction include genius approaches, systematical constructions based on combinatorial theory, and computer search algorithms. Criteria for the evaluation of supersaturated designs have got deeper understanding, too. In this paper, a new method for the construction of supersaturated designs is introduced. This method is easy to use, and the supersaturated designs constructed have nice properties, and are expected useful in experimental practice.

关 键 词：筛选试验 超饱和设计 平衡不完全区组设计 

分 类 号：O212.6[理学—概率论与数理统计] O213.1[理学—数学]