Quasi Association Models for Square Contingency Tables with Ordinal Categories
The analysis of contingency tables focuses on a statistical model instead of independence when the independence between row and column variables does not hold. Many association models have been proposed to indicate the structure of odds ratios. Additionally, symmetry and asymmetry models have been p...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/4/805 |
| _version_ | 1797434217879044096 |
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| author | Kengo Fujisawa Kouji Tahata |
| author_facet | Kengo Fujisawa Kouji Tahata |
| author_sort | Kengo Fujisawa |
| collection | DOAJ |
| description | The analysis of contingency tables focuses on a statistical model instead of independence when the independence between row and column variables does not hold. Many association models have been proposed to indicate the structure of odds ratios. Additionally, symmetry and asymmetry models have been proposed to analyze the cell probabilities of square contingency tables with symmetric or asymmetric structures. This paper proposes an asymmetry plus association model for square contingency tables with ordinal categories and partitioning of the test statistic for goodness-of-fit using our proposed model. |
| first_indexed | 2024-03-09T10:28:04Z |
| format | Article |
| id | doaj.art-53e2cbeccf6b4e778d80f927f8c55cd7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T10:28:04Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-53e2cbeccf6b4e778d80f927f8c55cd72023-12-01T21:28:49ZengMDPI AGSymmetry2073-89942022-04-0114480510.3390/sym14040805Quasi Association Models for Square Contingency Tables with Ordinal CategoriesKengo Fujisawa0Kouji Tahata1Faculty of Science and Technology, Tokyo University of Science, Chiba 278-8510, JapanFaculty of Science and Technology, Tokyo University of Science, Chiba 278-8510, JapanThe analysis of contingency tables focuses on a statistical model instead of independence when the independence between row and column variables does not hold. Many association models have been proposed to indicate the structure of odds ratios. Additionally, symmetry and asymmetry models have been proposed to analyze the cell probabilities of square contingency tables with symmetric or asymmetric structures. This paper proposes an asymmetry plus association model for square contingency tables with ordinal categories and partitioning of the test statistic for goodness-of-fit using our proposed model.https://www.mdpi.com/2073-8994/14/4/805association modelasymmetry modelsquare contingency table |
| spellingShingle | Kengo Fujisawa Kouji Tahata Quasi Association Models for Square Contingency Tables with Ordinal Categories Symmetry association model asymmetry model square contingency table |
| title | Quasi Association Models for Square Contingency Tables with Ordinal Categories |
| title_full | Quasi Association Models for Square Contingency Tables with Ordinal Categories |
| title_fullStr | Quasi Association Models for Square Contingency Tables with Ordinal Categories |
| title_full_unstemmed | Quasi Association Models for Square Contingency Tables with Ordinal Categories |
| title_short | Quasi Association Models for Square Contingency Tables with Ordinal Categories |
| title_sort | quasi association models for square contingency tables with ordinal categories |
| topic | association model asymmetry model square contingency table |
| url | https://www.mdpi.com/2073-8994/14/4/805 |
| work_keys_str_mv | AT kengofujisawa quasiassociationmodelsforsquarecontingencytableswithordinalcategories AT koujitahata quasiassociationmodelsforsquarecontingencytableswithordinalcategories |