摘要
给出了正交平衡区组设计(或广义正交表)的矩阵象的概念及例子,证明了矩阵象的几个基本定理,得出了正交平衡区组设计的正交性等价于矩阵象的正交性的重要结论,从而为利用正交平衡区组设计进行数据分析提供了理论依据.
The concept and examples of matrix images of orthogonal balanced block designs （ or generalized orthogonal arrays） are demonstrated in this paper, several basic theorems of matrix images are proved. It is obtained that the orthogonality of orthogonal balanced block designs is equivalent to that of projection matrices. This important conclusion provides a theoretical basis for data analysis of orthogonal balanced block designs.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第17期170-177,共8页
Mathematics in Practice and Theory
基金
教育部高等学校博士学科点专项基金(44k550500)
河南省教育厅自然科学研究计划项目(2011A110018)
关键词
正交平衡区组设计
广义正交表
矩阵象
orthogonal balanced block designs
generalized orthogonal arrays
matrix image
