偶数阶循环拉丁方型均匀设计的构作

CONSTRUCTION OF HOMOGENEOUS DESIGNS OF CYCLIC LATIN SQUARE TYPE WITH EVEN ORDER

均匀设计是一种适用于多因素、多水平面试验次数较少的设计。

In this paper, the author introduces a tool called the dual transformation, and by using itwe can reduce to half the computational work of constructing homogeneous designs of Latinsquare type. Specially, for the even order and cyclic case, she devises a reduced methodby means of quadratic roots and a chain of sets. As an application, all the homogeneousdesigns of cyclic Latin square type of order 10 are obtained; the homogeneity of these designsis obviously better than that of the known table U_(10)(10~3).