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Supersaturated split-plot designs for robust parameter experiments
Journal of Quality Technology ( IF 2.5 ) Pub Date : 2019-04-03 , DOI: 10.1080/00224065.2019.1571347
Krystallenia Drosou 1 , Christos Koukouvinos 1
Affiliation  

Abstract The intention of robust parameter design (RPD) experiments is to identify the influence of control factors on the variation introduced by the uncontrollable noise factors. Split-plot designs can be effectively applied to decrease the cost in RPD experimentation when there are hard-to-change or hard-to-control factors. In the presence of many factors, either the traditional replicated split-plot designs or the Cartesian-product designs proposed by Taguchi are not of practical use since they require a large number of experimental units; thus, fractional factorial designs, such as supersaturated designs (SSDs) are needed. In this article, we propose a construction for supersaturated split-plot designs suitable for RPD experiments. We implemented the methodology of compound orthogonal arrays using orthogonal arrays of strength greater than 1, for the split-plot units and any relevant balanced SSD for the whole-plot units. The proposed methodology indicates that the experiments conducted in a split-plot point of view can be of tremendous value in RPD since they enable the estimation of the contrasts of interest in a considerably easier way than the designs proposed by Taguchi.

中文翻译:

用于稳健参数实验的过饱和裂区设计

摘要 稳健参数设计(RPD)实验的目的是确定控制因素对不可控噪声因素引入的变化的影响。当存在难以改变或难以控制的因素时,可以有效地应用裂区设计来降低 RPD 实验的成本。在诸多因素的存在下,无论是传统的复制裂区设计,还是田口提出的笛卡尔积设计,都没有实际应用,因为它们需要大量的实验单元;因此,需要部分因子设计,例如过饱和设计 (SSD)。在本文中,我们提出了适用于 RPD 实验的过饱和裂区设计的构造。我们使用强度大于 1 的正交阵列实现了复合正交阵列的方法,用于分割区单元和任何相关的平衡 SSD 用于整区单元。所提出的方法表明,在裂区观点下进行的实验在 RPD 中具有巨大的价值,因为它们能够以比田口提出的设计更容易的方式估计感兴趣的对比度。
更新日期:2019-04-03
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