MEASURE OF DEPARTURE FROM MARGINAL HOMOGENEITY FOR SQUARE CONTINGENCY TABLES HAVING ORDERED CATEGORIES
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概要
- 論文の詳細を見る
For the analysis of square contingency tables with nominal categories, Tomizawa (1995a) and Tomizawa and Makii (2001a) considered the measures to represent the degree of departure from the marginal homogeneity (MH). This paper proposes a measure to represent the degree of departure from MH for square contingency tables with ordered categories (instead of those with nominal categories). The measure proposed is expressed by using the Cressie and Read's (1984) power-divergence or Patil and Taillie's (1982) diversity index, which is defined for the cumulative probablities that an observation will fall in row (column) category i or below and column (row) category i + 1 or above. The measure depends on the order of listing the categories. It would be useful for comparing the degree of departure from MH in several tables with ordered categories. The relationships between the measure and the normal distribution (also some models) are also shown. Examples are given.
- 日本行動計量学会の論文
著者
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Tomizawa Sadao
Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science
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Tomizawa Sadao
Department Of Information Sciences Faculty Of Science And Technology Tokyo University Of Science
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Tomizawa Sadao
Department Of Information Sciences Faculty Of Science & Technology Science University Of Tokyo
関連論文
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- COLLAPSED SYMMETRY MODEL AND ITS DECOMPOSITION FOR MULTI-WAY TABLES WITH ORDERED CATEGORIES
- GENERALIZED MEASURES OF DEPARTURE FROM SYMMETRY FOR SQUARE CONTINGENCY TABLES
- DECOMPOSITIONS FOR EXTENDED DOUBLE SYMMETRY MODELS IN SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES
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- MEASURE OF DEPARTURE FROM CONDITIONAL SYMMETRY FOR SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES
- MEASURE OF DEPARTURE FROM MARGINAL HOMOGENEITY FOR SQUARE CONTINGENCY TABLES HAVING ORDERED CATEGORIES
- MEASURES OF DEPARTURE FROM GLOBAL SYMMETRY FOR SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES
- MEASURES OF DEPARTURE FROM ORDINAL QUASI-SYMMETRY MODELS FOR SQUARE CONTINGENCY TABLES
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