Double Semi-Folding in the 2^(k-p) Designs

2^(k-p)的雙半摺疊設計

廖本煌(Pen-Hwang Liau)

《高雄師大學報：自然科學與科技類》 50期 (2021/06) Pp. 1-9

摘要

Two-level fractional factorial designs have been wildly used to investigate the effect of factors in many fields. For some designs, the main effects and the interactions are aliased in chain. The technique of foldover, in which requires the same size as an original experiment, is often used for conducting follow-up experiments to break the alias chain. In this article, for economic reasons, we give some examples to illustrate two folding techniques, semi-folding and double semi-folding, and compare the results based on the criterion of clear.

關鍵字

Alias chain ； Defining contrast subgroup ； Minimum aberration ； Semifolding

並列摘要

2層次的部分因子設計被廣泛應用於各個領域。對於一些設計其主效應與交互作用有別名鏈的關係。摺疊設計為用與原設計相同的實驗點，然後應用技巧來破壞設計中的別名鏈。此篇文章我們舉一些例子並用清晰的準則，說明並比較半摺疊設計與雙半摺疊設計。

並列關鍵字

別名鏈 ； 定義對比子群 ； 最小偏離 ； 半摺疊