The geometry of statistical models for two-way contingency tables with fixed odds ratios

Enrico Carlini; Fabio Rapallo

The geometry of statistical models for two-way contingency tables with fixed odds ratios

Enrico Carlini
, Fabio Rapallo

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	71-84
Number of pages	14
Journal	Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
Volume	37
Publication status	Published - 2005
Externally published	Yes

Cite this

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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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AB - 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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M3 - Article

SN - 0049-4704

VL - 37

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EP - 84

JO - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

JF - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

ER -

The geometry of statistical models for two-way contingency tables with fixed odds ratios

Abstract

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