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Partitioning a non-symmetric measure of association for three-way contingency tables
| Content Provider | Semantic Scholar |
|---|---|
| Author | Beh, Eric J. Simonetti, Biagio D'Ambra, Luigi |
| Copyright Year | 2007 |
| Abstract | The Goodman-Kruskal tau index is a popular measure of asymmetry for two-way contingency tables where there is a one-way relationship between the variables. Numerous extensions of this index for multi-way tables have been considered in the statistical literature. These include the Gray-Williams measures, Simonetti's delta index and the Marcotorchino index. This paper looks at the partition of the Marcotorchino index for a three-way contingency table with one, two and three ordered categorical variables. Such a partition makes use of orthogonal polynomials and identifies two-way measures of asymmetry (akin to the Goodman-Kruskal tau index) and three-way measures generalisation. These partitions provide information about the structure of the asymmetric relationship between the categories in terms of location, dispersion and higher order moments. |
| Starting Page | 1391 |
| Ending Page | 1411 |
| Page Count | 21 |
| File Format | PDF HTM / HTML |
| Volume Number | 98 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82716352.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jmva.2007.01.011 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
