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Marginal asymmetry model for square contingency tables with ordered categories

机译:具有排序类别的正方形列联表的边际不对称模型

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摘要

For the analysis of square contingency tables with ordered categories, this paper proposes a model which indicates the structure of marginal asymmetry. The model states that the absolute values of logarithm of ratio of the cumulative probability that an observation will fall in row category i or below and column category i + 1 or above to the corresponding cumulative probability that the observation falls in column category i or below and row category i + 1 or above are constant for every i. We deal with the estimation problem for the model parameter and goodness-of-fit tests. Also we discuss the relationships between the model and a measure which represents the degree of departure from marginal homogeneity. Examples are given.
机译:为了分析有序类别的正方形列联表,本文提出了一个模型来指示边际不对称的结构。该模型指出,观测值落入行类别i或以下和列类别i + 1或以上的累积概率与观测值落入列类别i或以下的对应累积概率之比的对数的绝对值对数,并且行类别i +1或以上对于每个i都是恒定的。我们处理模型参数和拟合优度检验的估计问题。我们还讨论了模型与表示偏离边际同质性程度的度量之间的关系。举例说明。

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