A Family of Quasisymmetry Models

  • Maria Kateri Institute of Statistics, RWTH Aachen University, 52056 Aachen, Germany
  • Fatemeh Mohammadi Institut für Mathematik, TU Berlin, 10623 Berlin, Germany
  • Bernd Sturmfels Department of Mathematics, University of California, Berkeley, CA 94720, USA
Keywords: Square contingency tables, Algebraic statistics, Toric models, Linear models, Maximum likelihood estimation, φ-divergence.


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.