试验设计的两种多项式表示
Two polynomial representations of experimental design
摘要：
在代数统计学的背景下，试验设计由一组称为设计理想的多项式来描述。这反过来又是由多项式的有限集合生成的。在文献中主要使用两种类型的生成集：Groebner基和指示函数。我们简要地描述了它们，它们如何用于设计的分析和规划，以及如何在它们之间切换。示例包括全因子设计的分数和混料实验的设计。
英文摘要：
In the context of algebraic statistics an experimental design is described by a set of polynomials called the design ideal. This, in turn, is generated by finite sets of polynomials. Two types of generating sets are mostly used in the literature: Groebner bases and indicator functions. We briefly describe them both, how they are used in the analysis and planning of a design and how to switch between them. Examples include fractions of full factorial designs and designs for mixture experiments.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
