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A simple diagonals-parameter symmetry and quasi-symmetry model

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  • Agresti, Alan

Abstract

Goodman (1979) proposed a class of diagonals-parameter symmetry models for square contingency tables with ordered categories, A simple version of that model is considered in which the log odds parameters have a linear pattern. The model is also a simple quasi-symmetry model. It fits well when there is an underlying bivariate normal distribution.

Suggested Citation

  • Agresti, Alan, 1983. "A simple diagonals-parameter symmetry and quasi-symmetry model," Statistics & Probability Letters, Elsevier, vol. 1(6), pages 313-316, October.
    • Handle: RePEc:eee:stapro:v:1:y:1983:i:6:p:313-316
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    Citations

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    Cited by:

    1. Kouji Tahata, 2012. "Quasi-asymmetry model for square tables with nominal categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(4), pages 723-729, August.
    2. H. Bayo Lawal, 2003. "The Structure of the Log Odds-Ratios in Non-Independence and Symmetry Diagonal Models for Square Contingency Tables," Quality & Quantity: International Journal of Methodology, Springer, vol. 37(2), pages 111-134, May.
    3. H. Lawal, 2004. "Review of Non-Independence, Asymmetry, Skew-Symmetry and Point-Symmetry Models in the Analysis of Social Mobility Data," Quality & Quantity: International Journal of Methodology, Springer, vol. 38(3), pages 259-289, June.
    4. repec:jss:jstsof:07:i08 is not listed on IDEAS
    5. Yamamoto, Kouji & Murakami, Hidetoshi, 2014. "Model based on skew normal distribution for square contingency tables with ordinal categories," Computational Statistics & Data Analysis, Elsevier, vol. 78(C), pages 135-140.
    6. Kateri, Maria & Agresti, Alan, 2007. "A class of ordinal quasi-symmetry models for square contingency tables," Statistics & Probability Letters, Elsevier, vol. 77(6), pages 598-603, March.
    7. Anna Klimova & Tamás Rudas, 2012. "Coordinate-free analysis of trends in British social mobility," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1681-1691, January.
    8. Klimova, Anna & Rudas, Tamás, 2022. "Hierarchical Aitchison–Silvey models for incomplete binary sample spaces," Journal of Multivariate Analysis, Elsevier, vol. 187(C).
    9. Rolf Aaberge & Li-chun Zhang, 2005. "A class of exact UMP unbiased tests for conditional symmetry in small-sample square contingency tables," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(4), pages 333-340.
    10. Lawal, H. Bayo & Sundheim, Richard A., 2002. "Generating Factor Variables for Asymmetry, Non-independence and Skew-symmetry Models in Square Contingency Tables using SAS," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 7(i08).
    11. Sadao Tomizawa & Nobuko Miyamoto & Kouji Yamamoto, 2006. "Decomposition for polynomial cumulative symmetry model in square contingency tables with ordered categories," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 303-314.
    12. Alan Agresti, 1995. "Logit Models and Related Quasi-Symmetric Log-Linear Models for Comparing Responses to Similar Items in a Survey," Sociological Methods & Research, , vol. 24(1), pages 68-95, August.

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