广义正交表的拟二水平构造  

Quasi-Two-Level Construction of Generalized Orthogonal Arrays

作　　者：杨林[1] 吴亚桢[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》2017年第2期1-5,共5页Journal of Xuchang University

基　　金：教育部高校博士点专项基金(44K55050)

摘　　要：本文结合正交表设计理论中的拟水平法,证明了基于一般广义正交表的某些拟水平法相应的设计表仍然是广义正交表,从而说明了拟水平试验设计方法可以在试验设计理论中有条件的使用.这也启发我们可以把正交表的拟水平试验设计方法扩充成广义正交表的拟水平构造方法.本文不但从理论上证明了拟二水平构造方法的合理性,而且用算例分析验证了此拟二水平构造方法的有效性.From the point of view of generalized orthogonal arrays, some quasi level methods in the theory of orthogonal arrays are proved that the corresponding design is still a generalized orthogonal array, which illustrates the proposed quasi-level experimental method can be used in experiment design theory on some conditions. It al-so inspired we can put quasi-level experiment design method in the theory of orthogonal arrays expanding into a quasi-level construction method of generalized orthogonal arrays. This article not only theoretically proves the ra-tionality of the proposed quasi-two-level construction method but also uses case analysis to verify the effectiveness of the proposed quasi-two-level structure method.

关 键 词：广义正交表 拟水平 相遇平衡 正交平衡 

分 类 号：O212.6[理学—概率论与数理统计]