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