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Supersaturated multistratum designs

机译：超饱和的多层设计

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摘要

Supersaturated designs have gained much attention in the past two decades. Such designs can reduce substantial cost in the initial stage of experiments to identify the few important factors from many of interest. Most exiting supersaturated designs in the literature are developed for completely randomized experiments, which have single-stratum structures. However, in many cases, complete randomization is infeasible and hence designs with more complicated structures are needed. In this article, we study the supersaturated designs in multistratum structures. We propose the generalized D_f criterion and develop the multistratum columnwise-pairwise exchange algorithm for constructing and selecting efficient supersaturated multistratum designs. The supersaturated split-plot, strip-plot, and staggered-level designs are constructed and their sensitivity, power, and type I error rate are studied. An example with SAS and R codes is provided to demonstrate how to conduct data analysis for supersaturated multistratum designs.
机译：在过去的二十年中，超饱和设计在很多关注。这种设计可以在实验的初始阶段降低大量成本，以确定许多兴趣的少数重要因素。对于完全随机的实验，开发了文献中的大多数出口的超饱和设计，其具有单层结构。然而，在许多情况下，完整的随机化是不可行的，因此需要具有更复杂结构的设计。在本文中，我们研究多层结构中的超饱和设计。我们提出了广义的D_F标准，并开发了用于构建和选择有效的超饱和多立磨机设计的多级柱柱对成对换算算法。构建过饱和分裂图，条形图和交错级别设计，研究了它们的灵敏度，功率和I型错误率。提供了具有SAS和R代码的示例，以演示如何对超饱和多拔样设计进行数据分析。

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