Measure of departure from marginal point-symmetry for two-way contingency tables
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 depa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Bologna
2013-05-01
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| Series: | Statistica |
| Online Access: | http://rivista-statistica.unibo.it/article/view/3620 |
| _version_ | 1811344517888999424 |
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| author | Kouji Yamamoto Kouji Tahata Motoko Suzuki Sadao Tomizawa |
| author_facet | Kouji Yamamoto Kouji Tahata Motoko Suzuki Sadao Tomizawa |
| author_sort | Kouji Yamamoto |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T19:48:28Z |
| format | Article |
| id | doaj.art-a67ea922142f452d8f1d6748c37e4313 |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-04-13T19:48:28Z |
| publishDate | 2013-05-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-a67ea922142f452d8f1d6748c37e43132022-12-22T02:32:39ZengUniversity of BolognaStatistica0390-590X1973-22012013-05-0171336738010.6092/issn.1973-2201/36203366Measure of departure from marginal point-symmetry for two-way contingency tablesKouji Yamamoto0Kouji Tahata1Motoko Suzuki2Sadao Tomizawa3Center of Clinical Investigation and Research - Osaka University HospitalDepartment of Information Sciences, Faculty of Science and Technology - Tokyo University of ScienceDepartment of Information Sciences, Faculty of Science and Technology - Tokyo University of ScienceDepartment of Information Sciences, Faculty of Science and Technology - Tokyo University of ScienceFor 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.http://rivista-statistica.unibo.it/article/view/3620 |
| spellingShingle | Kouji Yamamoto Kouji Tahata Motoko Suzuki Sadao Tomizawa Measure of departure from marginal point-symmetry for two-way contingency tables Statistica |
| title | Measure of departure from marginal point-symmetry for two-way contingency tables |
| title_full | Measure of departure from marginal point-symmetry for two-way contingency tables |
| title_fullStr | Measure of departure from marginal point-symmetry for two-way contingency tables |
| title_full_unstemmed | Measure of departure from marginal point-symmetry for two-way contingency tables |
| title_short | Measure of departure from marginal point-symmetry for two-way contingency tables |
| title_sort | measure of departure from marginal point symmetry for two way contingency tables |
| url | http://rivista-statistica.unibo.it/article/view/3620 |
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