广义正交表方差分析的矩阵计算形式

Matrix Calculation of ANOVA based on Generalized Orthogonal Arrays

广义正交表是一种类似于正交表的新设计.它是正交表的推广,可以像正交表一样进行试验设计和数据分析,但试验次数大幅减少.方差分析是统计推断的内容之一,本文从自由模型出发考虑方差分析,采用矩阵象技术,给出了广义正交表方差分析的矩阵计算形式,借助SAS软件可以方便快速的实现.

Generalized orthogonal array is a kind of new design which is similar to the orthogonal array. It is an extension of the orthogonal array that can be as orthogonal array for experimental design and data analysis, but experiment times can be often drastically reduced. Analysis of variance （ANOVA） is one of the contents of the statistical inference. In this paper, starting from the freedom model considering analysis of variance, using the matrix image technology, the matrix calculation form of ANOVA based on the generalized orthogonal arrays is given, with the help of SAS software can be implemented quickly and easily.