A characterization of saturated designs for factorial experiments

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• 作者：Roberto Fontana ; Fabio Rapallo ; Maria Piera Rogantin
• 关键词：Estimability ; Linear models ; Circuits ; Graver basis ; Universal Markov basis
• 刊名：Journal of Statistical Planning and Inference
• 出版年：April, 2014
• 年：2014
• 卷：147
• 期：Complete
• 页码：204-211
• 全文大小：244 K

文摘

In this paper we study saturated fractions of factorial designs under the perspective of Algebraic Statistics. Exploiting the identification of a fraction with a binary contingency table, we define a criterion to check whether a fraction is saturated or not with respect to a given model. The proposed criterion is based on combinatorial algebraic objects, namely the circuit basis of the toric ideal associated to the design matrix of the model.