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math.ST2013
Toric ideals with linear components: an algebraic interpretation of clustering the cells of a contingency table
Enrico Carlini, Fabio Rapallo
In this paper we show that the agglomeration of rows or columns of a contingency table with a hierarchical clustering algorithm yields statistical models defined through toric idea…
math.ST2013
A Characterization of Saturated Designs for Factorial Experiments
Roberto Fontana, Fabio Rapallo, Maria-Piera Rogantin
In this paper we study saturated fractions of factorial designs under the perspective of Algebraic Statistics. We define a criterion to check whether a fraction is saturated or not…