Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories

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...

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Main Authors: Kouji Yamamoto, Sadao Tomizawa
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/325
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spelling doaj-05e32e5108cb4d19b8a4f12d3a9c81cd2021-04-22T12:33:58ZengAustrian 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
collection DOAJ
language English
format Article
sources DOAJ
author Kouji Yamamoto
Sadao Tomizawa
spellingShingle Kouji Yamamoto
Sadao Tomizawa
Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories
Austrian Journal of Statistics
author_facet Kouji Yamamoto
Sadao Tomizawa
author_sort Kouji Yamamoto
title 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_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_sort decomposition of measure for marginal homogeneity in square contingency tables with ordered categories
publisher Austrian Statistical Society
series Austrian Journal of Statistics
issn 1026-597X
publishDate 2016-04-01
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.
url http://www.ajs.or.at/index.php/ajs/article/view/325
work_keys_str_mv AT koujiyamamoto decompositionofmeasureformarginalhomogeneityinsquarecontingencytableswithorderedcategories
AT sadaotomizawa decompositionofmeasureformarginalhomogeneityinsquarecontingencytableswithorderedcategories
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