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Generalized marginal homogeneity model and its relation to marginal equimoments for square contingency tables with ordered categories

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  • Kouji Tahata
  • Sadao Tomizawa

Abstract

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Suggested Citation

  • Kouji Tahata & Sadao Tomizawa, 2008. "Generalized marginal homogeneity model and its relation to marginal equimoments for square contingency tables with ordered categories," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 2(3), pages 295-311, December.
  • Handle: RePEc:spr:advdac:v:2:y:2008:i:3:p:295-311
    DOI: 10.1007/s11634-008-0028-1
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    References listed on IDEAS

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    1. Sadao Tomizawa & Takashi Seo & Hideharu Yamamoto, 1998. "Power-divergence-type measure of departure from symmetry for square contingency tables that have nominal categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(3), pages 387-398.
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    Citations

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    Cited by:

    1. Shuji Ando, 2024. "Measure of deviancy from marginal mean equality based on cumulative marginal probabilities in square contingency tables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 87(8), pages 1037-1048, November.
    2. Shuji Ando, 2019. "A Bivariate Index for Visually Measuring Marginal Inhomogeneity in Square Tables," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(5), pages 58-65, September.
    3. 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.
    4. Satoru Shinoda & Kouji Tahata & Kouji Yamamoto & Sadao Tomizawa, 2021. "Marginal Continuation odds Ratio Model and Decomposition of Marginal Homogeneity Model for Multi-way Contingency Tables," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 304-324, November.

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    2. Kouji Yamamoto & Fumika Shimada & Sadao Tomizawa, 2015. "Measure of departure from symmetry for the analysis of collapsed square contingency tables with ordered categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(4), pages 866-875, April.

    More about this item

    Keywords

    Generalized marginal homogeneity; Kurtosis; Marginal homogeneity; Moment; Ordered category; Skewness; Square contingency table; 62H17; C39;
    All these keywords.

    JEL classification:

    • C39 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Other

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