一类试验设计的存在性  

Some Results of a Kind of Experimental Designs

作　　者：曹瑞峰[1] 张勇[1] 吴苗苗[1] 王雅文[1] 

机构地区：[1]盐城师范学院数学与统计学院,江苏盐城224002

出　　处：《阴山学刊（自然科学版）》2016年第4期10-13,共4页Yinshan Academic Journal(Natural Science Edition)

基　　金：江苏省高等学校大学生创新创业训练项目资助(201410324058X;201410324039Y)

摘　　要：在统计试验设计中,用超单纯设计给出的试验方案可以使不同样品组的最大交集尽可能小.用尽可能少的区组表示所有区组,这给试验的实际操作带来方便.本文研究了由一个区组生成的超单纯循环(v,k,λ)-BIBD的直接构造,证明了对于素数v≤200,满足一定条件的超单纯(v,k,λ)-BIBD可由一个区组生成.In statistical planning of experiments, super - simple designs are the ones providing samples with maximum intersection as small as possible. Super - simple designs are also useful in constructing codes and designs such as superimposed codes and perfect hash families. The existence of super - simple （v,4,λ） - BIBDs have been determined for X =2 -6,9. In this paper,we investigate the existence of a family of cycle super - simple （v,4,λ） -BIBD which can be generated by one base block. Some new results of such designs are obtained.

关 键 词：平衡不完全区组设计 超单纯 试验设计 

分 类 号：O157.2[理学—数学]