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 / Fontana, Roberto; Rapallo, Fabio; Rogantin, Maria Piera. - ELETTRONICO. - 1:(2014), pp. 1-6. (Intervento presentato al convegno 47th Scientific Meeting of the Italian Statistical Society tenutosi a Cagliari nel 10-14 giugno 2014).

Indicator functions and saturated fractions for factorial designs: a case study

FONTANA, ROBERTO;
2014

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.
2014
978-88-8467-874-4
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2655840
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