Asymmetry Index on Marginal Homogeneity for Square Contingency Tables with Ordered Categories
نویسندگان
چکیده
منابع مشابه
Asymmetry Index on Marginal Homogeneity for Square Contingency Tables with Ordered Categories
For square contingency tables with ordered categories, the present paper considers two kinds of weak marginal homogeneity and gives measures to represent the degree of departure from weak marginal homogeneity. The proposed measures lie between –1 to 1. When the marginal cumulative logistic model or the extended marginal homogeneity model holds, the proposed measures represent the degree of depa...
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For the analysis of square contingency tables, Tomizawa, Miyamoto and Ashihara (2003) considered a measure to represent the degree of departure from marginal homogeneity. The measure lies between 0 and 1, and it takes the minimum value when the marginal homogeneity holds and the maximum value when one of two symmetric cumulat ive probabilities for any category is zero. Th is paper proposes impr...
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• A marginal homogeneity model tests whether the row and column distributions of a square contingency table have the same sample margins. However, for variables with ordered categories, the marginal homogeneity model does not take into account the ordering information, leading to significant loss of power. Score-based tests have been proposed for ordinal variables. In this paper, we extend the ...
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• For square contingency tables with ordered categories, this paper proposes some distance subsymmetry models. The one model indicates that the cumulative probability that an observation will fall in row category i or below and column category i + k (k ≥ 2) or above, is equal to the probability that it falls in column category i or below and row category i+k or above. This paper also gives the ...
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• For the analysis of square contingency tables, Tomizawa, Miyamoto and Ashihara (2003) considered a measure to represent the degree of departure from marginal homogeneity. However, the maximum value of this measure cannot distinguish two kinds of marginal inhomogeneity. This paper proposes a measure which can distinguish two kinds of marginal inhomogeneity for square tables with ordered catego...
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ژورنال
عنوان ژورنال: Open Journal of Statistics
سال: 2012
ISSN: 2161-718X,2161-7198
DOI: 10.4236/ojs.2012.22023