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

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

2005-07-26

arxiv.org/abs/math/0507529v2

Mathematics

Statistics Theory

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Scientific paper

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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