Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories
For the analysis of square contingency tables with ordered categories, Tomizawa et al. (2003) considered a measure to represent the degree of departure from marginal homogeneity (MH). Tomizawa (1993) considered an extended marginal homogeneity (EMH) model. This paper (i) proposes a measure to repres...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Austrian Statistical Society
2016-04-01
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| Series: | Austrian Journal of Statistics |
| Online Access: | http://www.ajs.or.at/index.php/ajs/article/view/325 |
| _version_ | 1818607533002063872 |
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| author | Kouji Yamamoto Sadao Tomizawa |
| author_facet | Kouji Yamamoto Sadao Tomizawa |
| author_sort | Kouji Yamamoto |
| collection | DOAJ |
| description | For the analysis of square contingency tables with ordered categories, Tomizawa et al. (2003) considered a measure to represent the degree of departure from marginal homogeneity (MH). Tomizawa (1993) considered an extended marginal homogeneity (EMH) model. This paper (i) proposes a measure to represent the degree of departure from EMH, (ii) proposes a measure from equality of marginal means (E), and (iii) gives a theorem that the value of measure for MH is equal to the sum of the value of measure for EMH and that for E. |
| first_indexed | 2024-12-16T14:28:15Z |
| format | Article |
| id | doaj.art-05e32e5108cb4d19b8a4f12d3a9c81cd |
| institution | Directory Open Access Journal |
| issn | 1026-597X |
| language | English |
| last_indexed | 2024-12-16T14:28:15Z |
| publishDate | 2016-04-01 |
| publisher | Austrian Statistical Society |
| record_format | Article |
| series | Austrian Journal of Statistics |
| spelling | doaj.art-05e32e5108cb4d19b8a4f12d3a9c81cd2022-12-21T22:28:19ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-04-0136210.17713/ajs.v36i2.325Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered CategoriesKouji Yamamoto0Sadao Tomizawa1Tokyo University of Science, JapanTokyo University of Science, JapanFor the analysis of square contingency tables with ordered categories, Tomizawa et al. (2003) considered a measure to represent the degree of departure from marginal homogeneity (MH). Tomizawa (1993) considered an extended marginal homogeneity (EMH) model. This paper (i) proposes a measure to represent the degree of departure from EMH, (ii) proposes a measure from equality of marginal means (E), and (iii) gives a theorem that the value of measure for MH is equal to the sum of the value of measure for EMH and that for E.http://www.ajs.or.at/index.php/ajs/article/view/325 |
| spellingShingle | Kouji Yamamoto Sadao Tomizawa Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories Austrian Journal of Statistics |
| title | Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories |
| title_full | Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories |
| title_fullStr | Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories |
| title_full_unstemmed | Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories |
| title_short | Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories |
| title_sort | decomposition of measure for marginal homogeneity in square contingency tables with ordered categories |
| url | http://www.ajs.or.at/index.php/ajs/article/view/325 |
| work_keys_str_mv | AT koujiyamamoto decompositionofmeasureformarginalhomogeneityinsquarecontingencytableswithorderedcategories AT sadaotomizawa decompositionofmeasureformarginalhomogeneityinsquarecontingencytableswithorderedcategories |