一般因子数下成分正交表的构造
Construction of Component Orthogonal Arrays with Flexible Factors
-
摘要: 成分正交表是适用于添加顺序实验的一种有效的设计方法.本文利用首列相同的正交拉丁方构造出了因子个数为素数幂时的成分正交表,并在此基础上构造出了因子数可取任意正整数的成分正交表.所得设计的一些优良投影性质也得到了证明.Abstract: Component orthogonal arrays is a kind of experimental designs that are suitable for order-of-addition experiments. This paper utilizes mutually orthogonal Latin squares obeying certain restrictions to construct component orthogonal arrays where the number of factors is a power of a prime. Further more, construction methods for component orthogonal arrays with flexible number of factors are provided. Some favorable projection properties of the obtained designs are demonstrated.