Abstract

Due to recent advances in the development of laboratory equipment, large screening experiments can now be conducted to study the joint impact of up to a few dozen factors. While much is known about orthogonal designs involving 64 and 128 runs, there is a lack of literature on screening designs with intermediate run sizes. In this article, we therefore construct screening designs with 80, 96 and 112 runs which allow the main effects to be estimated independently from the two-factor interactions and limit the aliasing among the interactions. We motivate our work using a 14-factor tuberculosis inhibition experiment and compare our new designs with alternatives from the literature using simulations.

摘要

由于实验室设备发展的最新进展，现在可以进行大型筛选实验来研究多达几十个因素的联合影响。虽然对涉及 64 和 128 次试验的正交设计了解很多，但缺乏关于中等试验规模的筛选设计的文献。因此，在本文中，我们构建了具有 80、96 和 112 次运行的筛选设计，这些设计允许独立于双因素交互作用估计主效应，并限制交互作用之间的混叠。我们使用 14 因子结核病抑制实验来激励我们的工作，并使用模拟将我们的新设计与文献中的替代方案进行比较。