In this paper we describe a general framework to decompose three-way association measures for contingency tables, in particular symmetric and non-symmetric measures will be discussed, like Pearson’s index, Marcotorchino’s index, whose special case is the Gray–Williams index, and a new non-symmetric one will be proposed, called the Delta index. After showing the orthogonal decomposition of these indices, practical examples illustrating the different decompositions will be given
Three-way Association Measure Decompositions: the Delta Index
LOMBARDO, Rosaria
2011
Abstract
In this paper we describe a general framework to decompose three-way association measures for contingency tables, in particular symmetric and non-symmetric measures will be discussed, like Pearson’s index, Marcotorchino’s index, whose special case is the Gray–Williams index, and a new non-symmetric one will be proposed, called the Delta index. After showing the orthogonal decomposition of these indices, practical examples illustrating the different decompositions will be givenFile in questo prodotto:
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