Measure of departure from marginal point-symmetry for two-way contingency tables
| Autor: | Kouji Yamamoto, Kouji Tahata, Motoko Suzuki, Sadao Tomizawa |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Statistica, Vol 71, Iss 3, Pp 367-380 (2013) |
| Druh dokumentu: | article |
| ISSN: | 0390-590X 1973-2201 |
| DOI: | 10.6092/issn.1973-2201/3620 |
| Popis: | For two-way contingency tables, Tomizawa (1985) considered the point-symmetry and marginal point-symmetry models, and Tomizawa, Yamamoto and Tahata (2007) proposed a measure to represent the degree of departure from point-symmetry. The present paper proposes a measure to represent the degree of departure from marginal pointsymmetry for two-way tables. The proposed measure is expressed by using Cressie-Read power-divergence or Patil-Taillie diversity index. This measure would be useful for comparing the degrees of departure from marginal point-symmetry in several tables. The relationship between the degree of departure from marginal point-symmetry and the measure is shown when it is reasonable to assume underlying bivariate normal distribution. Examples are shown. |
| Databáze: | Directory of Open Access Journals |
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