摘要
正交平衡区组设计(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.定义了一种基于正交相遇平衡区组设计(或者广义正交表)的统计分析模型,根据这个模型,给出了参数的最小二乘估计的矩阵形式.
Orthogonal 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. In this paper,a statistical model of orthogonal meeting balanced block designs is given,on the basis of above, the least squares estimator of parameters in matrix form have been demonstrated.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第16期185-189,共5页
Mathematics in Practice and Theory
基金
教育部高校博士点专项基金(44K55050)
河南省科技厅自然科学基金(122300410072)
河南省教育厅自然科学基金(2011A110019)
关键词
正交平衡区组设计
相遇平衡区’组设计
广义正交表
统计模型
参数估计
orthogonal balanced block designs
meeting balanced block designs
generalizedorthogonal arrays
statistical model
the least squares estimator of parameters