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引用本文:罗纯,潘长缘.?????????????????????[J].应用概率统计,2011,27(1):1-13.
作者姓名:罗纯  潘长缘
作者单位:????ü?????????,?????????????????????????????
基金项目:教育部高等学校博士学科点专项基金(44K55050)资助
摘    要:对试验次数较小的情形, 我们可以运用穷举法来寻找其可能存在的正交平衡区组设计. 这样做一方面可以尽可能多地找到正交平衡区组设计, 另一方面也可以为今后我们构造试验次数较大的正交平衡区组设计奠定基础. 本文最后给出了试验次数n=9以内的部分正交平衡区组设计.

关 键 词:正交表  穷举法  区组设计  正交平衡区组设计  平衡区组正交表  

Method of Exhaustion to Search Orthogonal Balanced Block Designs
LUO CHUN,PAN CHANGYUAN.Method of Exhaustion to Search Orthogonal Balanced Block Designs[J].Chinese Journal of Applied Probability and Statisties,2011,27(1):1-13.
Authors:LUO CHUN  PAN CHANGYUAN
Institution:Shanghai Institute of Technology Department of Quantitative Analysis, Junbo Capital Management CO., LTD,
Abstract:When the run size of experiment is relative small, it is possible to use the method of exhaustion to select its possible existing orthogonal balanced block designs. In this way, we can find out both orthogonal balanced block designs as more as possible and some information on how to construct orthogonal balanced block designs for some experiment of big run size. Some result of experiment run size of no more than 9 is given out.
Keywords:Orthogonal arrays  method of exhaustion  block designs  orthogonal balanced block designs  balanced block orthogonal arrays    
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