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A Generalization of the Marginal Homogeneity Model for Square Contingency Tables With Ordered Categories

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  • Sadao Tomizawa

Abstract

This article introduces an extended marginal homogeneity model for the analysis of square contingency tables with the same ordinal row and column classifications. The model indicates that the odds that an observation will fall in row category k or below and in column category k + 1 or above, instead of in column category k or below and in row category k + 1 or above, increase (decrease) exponentially as the cut point k increases. An example is given.

Suggested Citation

  • Sadao Tomizawa, 1995. "A Generalization of the Marginal Homogeneity Model for Square Contingency Tables With Ordered Categories," Journal of Educational and Behavioral Statistics, , vol. 20(4), pages 349-360, December.
  • Handle: RePEc:sae:jedbes:v:20:y:1995:i:4:p:349-360
    DOI: 10.3102/10769986020004349
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    Cited by:

    1. Kouji Tahata & Takuya Yoshimoto, 2015. "Marginal asymmetry model for square contingency tables with ordered categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(2), pages 371-379, February.

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