Aberration of three-level factorial designs and the Gini index

Roberto Fontana; RAPALLO Fabio; Maria Piera Rogantin

Aberration of three-level factorial designs and the Gini index

Roberto Fontana
, RAPALLO Fabio
, Maria Piera Rogantin

Research output: Contribution to conference › Paper › peer-review

Abstract

The use of the Gini index in Design of Experiments is unexplored. We present here some connections between the aberration of a fractional factorial design and the Gini concentration index of the fraction terms. In fact, both the aberration and the Gini index depend on geometrical properties of the fraction. The main tool in our theory is the indicator function of a fraction.

Original language	English
Pages	1-6
Number of pages	6
Publication status	Published - 1 Jan 2015
Externally published	Yes
Event	Statistics and Demography: the Legacy of Corrado Gini - Treviso Duration: 1 Jan 2015 → …

Conference

Conference	Statistics and Demography: the Legacy of Corrado Gini
City	Treviso
Period	1/01/15 → …

Cite this

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abstract = "The use of the Gini index in Design of Experiments is unexplored. We present here some connections between the aberration of a fractional factorial design and the Gini concentration index of the fraction terms. In fact, both the aberration and the Gini index depend on geometrical properties of the fraction. The main tool in our theory is the indicator function of a fraction.",

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AU - Fontana, Roberto

AU - Fabio, RAPALLO

AU - Rogantin, Maria Piera

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Y1 - 2015/1/1

N2 - The use of the Gini index in Design of Experiments is unexplored. We present here some connections between the aberration of a fractional factorial design and the Gini concentration index of the fraction terms. In fact, both the aberration and the Gini index depend on geometrical properties of the fraction. The main tool in our theory is the indicator function of a fraction.

AB - The use of the Gini index in Design of Experiments is unexplored. We present here some connections between the aberration of a fractional factorial design and the Gini concentration index of the fraction terms. In fact, both the aberration and the Gini index depend on geometrical properties of the fraction. The main tool in our theory is the indicator function of a fraction.

UR - https://iris.uniupo.it/handle/11579/69515

M3 - Paper

SP - 1

EP - 6

T2 - Statistics and Demography: the Legacy of Corrado Gini

Y2 - 1 January 2015

ER -

Aberration of three-level factorial designs and the Gini index

Abstract

Conference

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