Two-factor saturated designs: Cycles, gini index, and state polytopes

Roberto Fontana; Fabio Rapallo; Maria Piera Rogantin

doi:10.1080/15598608.2014.840518

Two-factor saturated designs: Cycles, gini index, and state polytopes

Roberto Fontana
, Fabio Rapallo
, Maria Piera Rogantin

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, 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.

Original language	English
Pages (from-to)	66-82
Number of pages	17
Journal	Journal of Statistical Theory and Practice
Volume	8
Issue number	1
DOIs	https://doi.org/10.1080/15598608.2014.840518
Publication status	Published - 2 Jan 2014
Externally published	Yes

Keywords

Estimability
Gini index
State polytope
Universal Markov basis

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10.1080/15598608.2014.840518

Cite this

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KW - Estimability

KW - Gini index

KW - State polytope

KW - Universal Markov basis

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Two-factor saturated designs: Cycles, gini index, and state polytopes

Abstract

Keywords

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