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Direct construction of three-level designs with less β-aberration
Communications in Statistics - Theory and Methods ( IF 0.8 ) Pub Date : 2021-04-12 , DOI: 10.1080/03610926.2021.1900869
Liangwei Qi 1 , Yu Tang 1
Affiliation  

Abstract

The β-wordlength pattern has been justified as an appropriate criterion for measuring designs with quantitative factors. However, construction methods of designs with less β-aberration have not been fully investigated. In this paper, some properties of β-wordlength pattern for three-level designs will be firstly provided, and then a direct construction method is proposed to generate three-level designs with β1=β2=0 using 2-level orthogonal arrays. Subsequently, two methods of level rearrangement are discussed to reduce the β3 and β4 of the resultant designs. Moreover, the advantages of these two methods are also compared. Finally, numerical examples are presented to illustrate the effectiveness of the proposed methods.



中文翻译:

直接构建具有较少β像差的三能级设计

摘要

β -wordlength 模式已被证明是衡量具有定量因素的设计的适当标准。然而,β像差较少的设计的构造方法尚未得到充分研究。本文首先给出了三级设计的β-字长模式的一些性质,然后提出了一种直接构造方法来生成三级设计β1=β2=0使用 2 级正交数组。随后,讨论了两种水平重排方法以减少所得设计的β 3β 4。此外,还比较了这两种方法的优点。最后,给出了数值例子来说明所提出方法的有效性。

更新日期:2021-04-12
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