In this paper we analyze and characterize the saturated fractions of two-factor designs under the simple effect model. Using Linear 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.

Rapallo F.;ROGANTIN, MARIA PIERA
2014-01-01

Abstract

In this paper we analyze and characterize the saturated fractions of two-factor designs under the simple effect model. Using Linear 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/654776
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