Three-way association measure decompositions: the Delta index. (English) Zbl 1207.62127
Summary: 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.
MSC:
| 62H17 | Contingency tables |
| 62H20 | Measures of association (correlation, canonical correlation, etc.) |
Keywords:
three-way association measures; orthogonal decomposition; delta index; partial terms; statistical testsReferences:
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