Proposes a new measure to quantify deviations from generalized marginal homogeneity in square contingency tables, indicating potential implications for statistical modeling.
For square contingency tables with ordered categories, Tomizawa (1995a) considered the generalized marginal homogeneity model.The present paper proposes a measure which represents the degree of departure from generalized marginal homogeneity.The proposed measure is expressed by the weighted sum of the Cressie-Read power-divergence or Patil-Taillie diversity index.This measure would be useful for measuring the degree of departure from generalized marginal homogeneity toward the maximum departure from it.The relationship between the measure and the further generalized marginal homogeneity model is shown by simulation studies.
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Ando et al. (2015) studied this question.
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