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.
|Titolo:||A characterization of saturated designs for factorial experiments|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||10.1016/j.jspi.2013.10.011|
|Appare nelle tipologie:||1.1 Articolo in rivista|