基于正交表替换构造广义正交表

Based on the Orthogonal Arrays Replace Structure Generalized Orthogonal Arrays

广义正交表是一种类似于正交表的新设计,利用广义正交表进行试验设计,在与正交表具有相同估计方差的条件下,可以明显减少试验次数.对广义正交表的构造方法进行深入研究,研究发现,用正交表和已知的小试验次数的广义正交表,经过简单替换,可以构造许多新的广义正交表,并且新构造的广义正交表还保持着原来正交表列之间的正交性.

Replacement Structure of Generalized Orthogonal Arrays based on Orthogonal Arrays Generalized orthogonal array which is similar to usual orthogonal array is a kind of new design. The number of experiment based on Generalized orthogonal array is much smaller than that based on usual orthogonal array under the same estimation variance conditions. In this paper, a novel structure method of Generalized orthogonal array is proposed. Many Gen- eralized orthogonal array structures can be obtained by simple replacement between some usual orthogonal arrays and known little experimental number of Generalized orthogonal ar- rays, and the new structure also maintain the orthogonality of original usual orthogonal array between its columns.