三水平逆耶茨序设计的低阶混杂性质

Lower-Order Confounding Properties of Inverse Yates-Order Designs with Three Levels

在三水平正规设计中,低阶成分效应的混杂信息对选择最优设计至关重要.本文研究一类三水平逆耶茨序设计Dq(n),其中q为独立列个数,n为因子个数,得到设计Dq(n)在三种情况下低阶混杂信息的结果:(i)q<n<3q-1,n=2k,k∈N;(ii)q<n<3q-1;n=2k+1;k∈N;(iii)3q-1≤n<(3q-1)/2.通过实例来演示上述结果.

It is important to consider the confounding information of lower-order component effects when choosing the optimal design in three-level regular designs.This paper studies a class of three-level inverse Yates-order designs Dq(n),where q and n are the numbers of independent columns and factors,respectively.The lower-order confounding information of designs Dq(n)are given according to the three cases:(i)q<n<3q-1,n=2k,k∈N;(ii)q<n<3q-1;n=2k+1;k∈N;(iii)3q-1≤n<(3q-1)/2.The above results are illustrated by examples.