Abstract
For square contingency tables with ordered categories, this paper gives the theorem that the symmetry model holds if and only if the following three models hold: (1) extended palindromic symmetry, (2) equality of marginal moments, and (3) subsymmetry of cumulative probabilities from the upper right and lower left corners of the table.
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Saigusa, Y., Tahata, K. & Tomizawa, S. Decompositions of symmetry using extended palindromic symmetry models for square contingency tables. J Stat Theory Pract 10, 1–6 (2016). https://doi.org/10.1080/15598608.2015.1048396
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DOI: https://doi.org/10.1080/15598608.2015.1048396