We consider a recently developed algebraic criterion to check whether a fraction is saturated or not for a given model. Such criterion is based on combinatorial algebraic objects, namely the circuit basis of the design matrix of the model. We show on a case study how to use indicator functions of the circuits to classify saturated fractions. The connection with two optimality criteria is also analyzed.
Indicator functions and saturated fractions for factorial designs: a case study
Fabio Rapallo;ROGANTIN, MARIA PIERA
2014-01-01
Abstract
We consider a recently developed algebraic criterion to check whether a fraction is saturated or not for a given model. Such criterion is based on combinatorial algebraic objects, namely the circuit basis of the design matrix of the model. We show on a case study how to use indicator functions of the circuits to classify saturated fractions. The connection with two optimality criteria is also analyzed.
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