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摘要翻译：
在代数统计的背景下，一个实验设计是由一组被称为设计理想的多项式来描述的。这又是由有限组多项式产生的。文献中主要使用两种类型的发电机组：Groebner基和指示函数。我们简要地描述它们，如何在设计的分析和规划中使用它们，以及如何在它们之间切换。例子包括全析因设计的分数和混合实验的设计。
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英文标题：
《Two polynomial representations of experimental design》
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作者：
Roberto Notari, Eva Riccomagno, Maria-Piera Rogantin
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最新提交年份：
2007
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分类信息：
一级分类：Statistics 统计学
二级分类：Methodology 方法论
分类描述：Design, Surveys, Model Selection, Multiple Testing, Multivariate Methods, Signal and Image Processing, Time Series, Smoothing, Spatial Statistics, Survival Analysis, Nonparametric and Semiparametric Methods
设计，调查，模型选择，多重检验，多元方法，信号和图像处理，时间序列，平滑，空间统计，生存分析，非参数和半参数方法
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一级分类：Statistics 统计学
二级分类：Computation 计算
分类描述：Algorithms, Simulation, Visualization
算法、模拟、可视化
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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.
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PDF链接：
https://arxiv.org/pdf/709.2997
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