Archivio Istituzionale della RicercaIn this paper we analyze and characterize the saturated fractions of two-factor designs under the simple effect model. Using Li et al.ear algebra, we define a criterion to check whether a given fraction is saturated or not. We also compute the number of saturated fractions, providing an alternative proof of the Cayley's formula. Finally we show how, given a list of saturated fractions, Gini indexes of their margins and the associated state polytopes could be used to classify them.
Two factor saturated designs: cycles, Gini index and state polytopes / Fontana, Roberto; Rapallo, F.; Rogantin, M. P.. - In: JOURNAL OF STATISTICAL THEORY AND PRACTICE. - ISSN 1559-8608. - 8:1(2014), pp. 66-82. [10.1080/15598608.2014.840518]
Two factor saturated designs: cycles, Gini index and state polytopes
FONTANA, ROBERTO;
2014
Abstract
In this paper we analyze and characterize the saturated fractions of two-factor designs under the simple effect model. Using Li et al.ear algebra, we define a criterion to check whether a given fraction is saturated or not. We also compute the number of saturated fractions, providing an alternative proof of the Cayley's formula. Finally we show how, given a list of saturated fractions, Gini indexes of their margins and the associated state polytopes could be used to classify them.
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https://hdl.handle.net/11583/2515915
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