混合水平正交设计的最优选择

Optimal Selection of Mixed-level Orthogonal Arrays

利用矩阵象方法，首先将强度2下混合水平正交设计的混杂度量，推广到强度t下混合水平正交设计的混杂度量，然后通过这些混杂度量指标，给出了强度t下混合水平正交设计的四个分辨度指标，其具有水平置换不变性，并能同时用于等水平情形和混合水平情形。最后对混合水平正交表OA（1S，6^13^6，2）进行了实例计算，并讨论四个分辨度的差异性。

In this paper, the matrix image method is employed to study several generalized resolution of nonregular fractional factorial designs. The proposed generalized resolutions can be applied to regular, nonregular, symmetric, and asymmetric designs, which generalized the results of resolution of regular fractional factorial designs. Moreover, the generalized resolutions are coding invariant, i.e. do not depend on the coding chosen for the experimental factors. Finally, the generalized resolutions are illustrated by an orthogonal array OA（18,6^13^6, 2）.