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.

中文翻译：

---

三级筛选设计的投影特性

筛选设计对于发现对工业实验有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因素而不是两级因素，因为拥有三级可以为捕获响应中的曲率提供一些评估。Jones和Nachtsheim在最近的一篇论文中，《质量技术杂志》431-15年，他提出了一种新的设计，称为确定性筛选设计。确定性筛选设计比传统筛选设计具有更有利的性能。在本文中，我们研究了三级筛选设计的投影特性。比较基于多个标准，例如D效率，G效率，A效率和各种模型（包括主要效应，相互作用和二次项）的方差平均值。生成新的设计，作为整个设计在较小尺寸维度空间中的投影。最佳投影及其属性以表格形式显示。