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Projection properties of three-level screening designs

机译：三级筛选设计的投影属性

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摘要

Screening designs are important for finding the factors that have a major effect on industrial experiments. In regard to quantitative factors, certain experimenters prefer three-level rather than two-level factors because having three levels can provide some assessments for capturing curvature in the response. In a recent paper, Jones and Nachtsheim, Journal of Quality Technology43, 1-15, proposed a new class of designs called definitive screening designs. Definitive screening designs have more favourable properties than classical screening designs. In this paper, we study the projection properties of three-level screening designs. The comparison is based on several criteria such as D-efficiency, G-efficiency, A-efficiency and average of variance over a range of models that include main effects, interaction and quadratic terms. New designs are generated as projections of the full designs into a smaller factor dimensional space. The best projections and their properties are presented in a tabular form.
机译：筛选设计对于寻找对工业实验产生重大影响的因素很重要。关于定量因素，某些实验者更喜欢三级而不是两级因子，因为具有三个水平可以为响应中捕获曲率提供一些评估。在最近的一篇论文中，琼斯和Nachtsheim，质量科技43，1-15，提出了一类名为明确筛选设计的新型设计。明确的筛选设计比经典筛选设计更有利。在本文中，我们研究了三级筛选设计的投影特性。比较基于若干标准，例如D-效率，G效率，效率和一系列模型的平均方差，包括主要效果，交互和二次术语。生成新设计作为完整设计的投影变为较小的因子尺寸空间。最佳投影及其属性以表格形式呈现。

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