广义正交表交互作用自由度分布的判定  

Determination of the Distribution of the Degrees of Interaction of Generalized Orthogonal Arrays

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

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

出　　处：《数学的实践与认识》2013年第21期168-176,共9页Mathematics in Practice and Theory

基　　金：教育部高校博士点专项基金(44K55050);河南省基础研究计划项目(132300410322);河南省教育厅科学技术研究重点资助项目(13A110753)

摘　　要：正交相遇平衡区组设计(或者广义正交表)是一种类似于正交拉丁方(或者正交表)的新设计,但试验次数大幅减少.与交互作用有关的混杂现象是正交设计也是正交相遇平衡区组设计的难点,利用矩阵象技术,给出了广义正交表交互作用自由度分布的判定方法,借助于SAS软件可以方便快速的进行判定.Orthogonal meeting balanced block designs （ or generalized orthogonal arrays） are new ones which are similar to the orthogonal Latin squares （or orthogonal arrays） ,but the run size is small. The confounding related to interaction is a difficulty not only in orthogonal design but also in orthogonal meeting balanced block designs, in this paper,by using the matrix image methods, a new method to determinate the distribution of the degrees of interaction of generalized orthogonal arrays is offered. With the help of SAS software can do determination quickly and easily.

关 键 词：正交相遇平衡区组设计 广义正交表 交互作用 矩阵象 

分 类 号：O212.6[理学—概率论与数理统计]