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A family of quasisymmetry models. (English) Zbl 1344.05155
Summary: We present a one-parameter family of models for square contingency tables that interpolates between the classical quasisymmetry model and its Pearsonian analogue. Algebraically, this corresponds to deformations of toric ideals associated with graphs. Our discussion of the statistical issues centers around maximum likelihood estimation.

MSC:
05E40 Combinatorial aspects of commutative algebra
13P25 Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
62H17 Contingency tables
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