Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency Tables
For the analysis of square contingency tables, the primary objective is to estimate an unknown distribution from presented data. To achieve this objective, we generally use a statistical model that fits the presented data well and has a parsimony. The recently proposed quasi local odds symmetry (QLO...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/5/1031 |
| _version_ | 1797495089325408256 |
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| author | Shuji Ando |
| author_facet | Shuji Ando |
| author_sort | Shuji Ando |
| collection | DOAJ |
| description | For the analysis of square contingency tables, the primary objective is to estimate an unknown distribution from presented data. To achieve this objective, we generally use a statistical model that fits the presented data well and has a parsimony. The recently proposed quasi local odds symmetry (QLOS) model was compared to various models that represent the structure of symmetry or asymmetry, and it provided the best fit performance compared with other models for real data. However, the QLOS model has many parameters, that is, the QLOS model is not the parsimonious model. To address this issue, this study proposes a new model that is more parsimonious than the QLOS model. The proposed model is identical to the QLOS model under the specified condition; it is the asymmetry model based on the QLOS model.Moreover, we compare the proposed model with the existing models, including the QLOS model, and show that the proposed model provides better fit performance than the existing models for real datasets. |
| first_indexed | 2024-03-10T01:43:27Z |
| format | Article |
| id | doaj.art-8f9410858056451c9e22daa97fe2e238 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T01:43:27Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-8f9410858056451c9e22daa97fe2e2382023-11-23T13:20:17ZengMDPI AGSymmetry2073-89942022-05-01145103110.3390/sym14051031Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency TablesShuji Ando0Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba 278-8510, JapanFor the analysis of square contingency tables, the primary objective is to estimate an unknown distribution from presented data. To achieve this objective, we generally use a statistical model that fits the presented data well and has a parsimony. The recently proposed quasi local odds symmetry (QLOS) model was compared to various models that represent the structure of symmetry or asymmetry, and it provided the best fit performance compared with other models for real data. However, the QLOS model has many parameters, that is, the QLOS model is not the parsimonious model. To address this issue, this study proposes a new model that is more parsimonious than the QLOS model. The proposed model is identical to the QLOS model under the specified condition; it is the asymmetry model based on the QLOS model.Moreover, we compare the proposed model with the existing models, including the QLOS model, and show that the proposed model provides better fit performance than the existing models for real datasets.https://www.mdpi.com/2073-8994/14/5/1031local odds ratiomodel selectionparsimonyquasi symmetry |
| spellingShingle | Shuji Ando Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency Tables Symmetry local odds ratio model selection parsimony quasi symmetry |
| title | Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency Tables |
| title_full | Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency Tables |
| title_fullStr | Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency Tables |
| title_full_unstemmed | Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency Tables |
| title_short | Asymmetry Model Based on Quasi Local Odds Symmetry for Square Contingency Tables |
| title_sort | asymmetry model based on quasi local odds symmetry for square contingency tables |
| topic | local odds ratio model selection parsimony quasi symmetry |
| url | https://www.mdpi.com/2073-8994/14/5/1031 |
| work_keys_str_mv | AT shujiando asymmetrymodelbasedonquasilocaloddssymmetryforsquarecontingencytables |