Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1148323 | Journal of Statistical Planning and Inference | 2014 | 8 Pages |
Abstract
•Algebraic Statistics is used to study saturated fractions of a factorial design.•We exploit connections between DoE and contingency tables analysis.•We define a criterion to check whether a fraction is saturated or not.•We present a connection with optimization.
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Roberto Fontana, Fabio Rapallo, Maria Piera Rogantin,