广义正交表相遇平衡性的等价条件  

The Equivalent Condition of Meeting Balance of Generalized Orthogonal Arrays

作　　者：吴亚桢[1] 杨林[1] 张应山[2] 廖靖宇[1] 田萍[1] 

机构地区：[1]许昌学院数学与统计学院,河南许昌461000 [2]华东师范大学统计学院,上海200241

出　　处：《许昌学院学报》2016年第5期21-25,共5页Journal of Xuchang University

基　　金：教育部高校博士点专项基金(44K55050);许昌学院科研基金(2015083)

摘　　要：广义正交表是一种类似于正交表的新设计,其数据分析保持了正交表的优良性,即,各个因子的估计是无偏估计,并且方差达到最小,但试验次数大幅减少.相遇平衡性是广义正交表的两个平衡条件之一,也是正交相遇平衡区组设计必须满足的一个基本要求.利用矩阵象技术,给出了相遇平衡性的一个等价条件,借助于SAS软件可以方便快速的进行验证.Generalized orthogonal arrays are similar to the orthogonal arrays,whose data analysis maintains the superiority as orthogonal arrays do,i. e.,thatis to say estimation of each factor is unbiased estimation in the sense of variance minimizing,but test tim are remarkably decreased. Meeting balance is one of the two balanced conditions of generalized orthogonal arrays,it is also a basic requirement which orthogonal meeting balanced block design must meet. In this paper,using the matrix images technology,it is to prove an equivalent condition of meeting balance. With the help of SAS software verified quickly and easily.

关 键 词：正交相遇平衡区组设计 广义正交表 相遇平衡 矩阵象 

分 类 号：O212.6[理学—概率论与数理统计]