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

Enrico Carlini·Fabio Rapallo
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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.

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Enrico Carlini, Fabio Rapallo. 2005-07-27. The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios. https://arxiv.org/abs/math/0507529

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