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

FONTANA R.; RAPALLO Fabio; P. ROGANTIN M.

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

FONTANA R., RAPALLO Fabio, P. ROGANTIN M.

Risultato della ricerca: Contributo alla conferenza › Contributo in Atti di Convegno › peer review

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.

Lingua originale	Inglese
Pagine	1-6
Numero di pagine	6
Stato di pubblicazione	Pubblicato - 1 gen 2014
Pubblicato esternamente	Sì
Evento	XLVII Scientific Meeting of the Italian Statistical Society - Cagliari Durata: 1 gen 2014 → …

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???event.eventtypes.event.conference???	XLVII Scientific Meeting of the Italian Statistical Society
Città	Cagliari
Periodo	1/01/14 → …

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

Abstract

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