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.

Research output: Contribution to conference › Paper › 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.

Original language	English
Pages	1-6
Number of pages	6
Publication status	Published - 1 Jan 2014
Externally published	Yes
Event	XLVII Scientific Meeting of the Italian Statistical Society - Cagliari Duration: 1 Jan 2014 → …

Conference

Conference	XLVII Scientific Meeting of the Italian Statistical Society
City	Cagliari
Period	1/01/14 → …

Cite this

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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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N2 - 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.

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.

UR - https://iris.uniupo.it/handle/11579/48761

M3 - Paper

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T2 - XLVII Scientific Meeting of the Italian Statistical Society

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

Abstract

Conference

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