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The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios

Statistics Theory 2007-06-13 v2 Algebraic Geometry Statistics Theory

Abstract

We study the geometric structure of the statistical models for two-by-two contingency tables. One or two odds ratios are fixed and the corresponding models are shown to be a portion of a ruled quadratic surface or a segment. Some pointers to the general case of two-way contingency tables are also given and an application to case-control studies is presented.

Keywords

Cite

@article{arxiv.math/0507529,
  title  = {The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios},
  author = {Enrico Carlini and Fabio Rapallo},
  journal= {arXiv preprint arXiv:math/0507529},
  year   = {2007}
}

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