正交平衡区组设计与广义正交表  

Orthogonal Balanced Block Design and Generalized Orthogonal Arrays

作　　者：王惠婷[1] 廖靖宇[1] 张建军[1] 张应山[2] 

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：《许昌学院学报》2013年第2期8-13,共6页Journal of Xuchang University

基　　金：河南省教育厅科学技术研究重点项目(12A110022);许昌市科技计划项目(1106008)

摘　　要：传统的区组设计方法限制比较多,如BIB设计只能用于对单因子问题的分析,为了把区组设计方法推广到对多因子问题的分析上,提出了正交平衡区组设计,给出了正交平衡区组设计与广义正交表的相关概念,性质及例子.正交平衡区组设计是一种类似于正交设计的新设计,这种设计不但保证了正交设计在数据分析中的正交性和试验布点时的均匀性,而且大幅度减少了试验次数.Traditional block design methods have many limitations, such as BIB design can only be used to analyze the problems with single factor. In order to apply block design method to the analysis of problems with multi factors, orthogonal balanced block design is proposed. Relevant concepts, characteristics and examples of orthogonal balanced block design and generalized orthogonal arrays are given. Orthogonal balanced block design is a new design similar to orthogonal design, which can not only guarantee the orthogonality of orthogonal design in data analysis but also reduce the frequency of experiment.

关 键 词：正交 平衡 区组设计 

分 类 号：O212.6[理学—概率论与数理统计]