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Decompositions of symmetry using extended palindromic symmetry models for square contingency tables. (English) Zbl 1420.62259

Summary: 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.

MSC:

62H17 Contingency tables
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