非正则部分因子设计的Box-Hunter分解
Box-Hunter resolution in nonregular fractional factorial designs
摘要：
在1961年的一篇论文中，Box和Hunter将常规部分析因设计的分辨率定义为分数中混叠量的度量。他们还指出，最大分辨率等于定义词的最小长度。字长模式的概念现在已经被许多作者扩展到非规则设计中，他们证明了最小广义字长等于最大强度加1。最小广义字长通常被用作归结的定义。然而，Box和Hunter的原始定义，不依赖于字长，可以扩展到非规则设计，如果它们是简单的。本文的目的是证明最大Box-Hunter分辨率确实等于最大强度加1，因此等于最小广义字长。其他解决办法进行了简要讨论。
英文摘要：
In a 1961 paper, Box and Hunter defined the resolution of a regular fractional factorial design as a measure of the amount of aliasing in the fraction. They also indicated that the maximum resolution is equal to the minimum length of a defining word. The idea of a wordlength pattern has now been extended to nonregular designs by various authors, who show that the minimum generalized wordlength equals the maximum strength plus 1. Minimum generalized wordlength is often taken as the definition of resolution. However, Box and Hunter's original definition, which does not depend on wordlength, can be extended to nonregular designs if they are simple. The purpose of this paper is to prove that the maximum Box-Hunter resolution does equal the maximum strength plus 1, and therefore equals the minimum generalized wordlength. Other approaches to resolution are briefly discussed.
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