Archivio Istituzionale della RicercaIn 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.
A characterization of saturated designs for factorial experiments / Fontana, Roberto; Fabio, Rapallo; Maria Piera, Rogantin. - In: JOURNAL OF STATISTICAL PLANNING AND INFERENCE. - ISSN 0378-3758. - 147:(2014), pp. 204-211. [10.1016/j.jspi.2013.10.011]
A characterization of saturated designs for factorial experiments
FONTANA, ROBERTO;
2014
Abstract
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.
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https://hdl.handle.net/11583/2521686
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