Definitive Screening Designs with Added Two-Level Categorical Factors
Definitive Screening Designs with Added Two-Level Categorical Factors
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DOI：
10.1080/00224065.2013.11917921
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发表时间：
2013-04-01
影响因子：
2.5
通讯作者：
Nachtsheim, Christopher J.
中科院分区：
文献类型：
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作者：
Jones, Bradley;Nachtsheim, Christopher J.
最近，Jones和Nachtsheim（2011）提出了一类新的设计，称为确定性筛选设计（DSD）。这些设计具有三个水平，提供任何二阶效应均无偏的主效应估计值，只需要比因子数多一倍的试验，并避免任何二阶效应对的混杂。对于具有六个或更多因子的设计，这些设计投影到具有三个或更少因子的有效响应曲面设计。这些设计的一个局限性是所有因素都必须是定量的。在本文中，我们开发列增广的DSD，可以容纳任何数量的两个层次的定性因素，使用两种方法。DSD-增广方法提供了高效的设计，在所有主效应的估计值继续不受任何活跃二阶效应影响的意义上，这些设计仍然是确定的。另一种方法（ORTH-扩增方法）可生成正交线性主效应计划的设计;但是，主效应与涉及分类因子的交互作用之间存在一些部分混叠。
Recently, Jones and Nachtsheim (2011) proposed a new class of designs called definitive screening designs (DSDs). These designs have three levels, provide estimates of main effects that are unbiased by any second-order effect, require only one more than twice as many runs as there are factors, and avoid confounding of any pair of second-order effects. For designs having six factors or more, these designs project to efficient response surface designs with three or fewer factors. A limitation of these designs is that all factors must be quantitative. In this paper, we develop column-augmented DSDs that can accommodate any number of two-level qualitative factors using two methods. The DSD-augment method provides highly efficient designs that are still definitive in the sense that the estimates of all main effects continue to be unbiased by any active second-order effects. An alternative procedure, the ORTH-augment approach, leads to designs that are orthogonal linear main effects plans; however, some partial aliasing between main effects and interactions involving the categorical factors is present.