Computing an Exact Confidence Interval for the Common Odds Ratio in Several 2×2 Contingency Tables

1 December 1985

journal article
theory and-method
Published by Taylor & Francis in Journal of the American Statistical Association

Vol. 80 (392) , 969-973
https://doi.org/10.1080/01621459.1985.10478212

Abstract

A quadratic time network algorithm is provided for computing an exact confidence interval for the common odds ratio in several 2×2 independent contingency tables. The algorithm is shown to be a considerable improvement on an existing algorithm developed by Thomas (1975), which relies on exhaustive enumeration. Problems that would formerly have consumed several CPU hours can now be solved in a few CPU seconds. The algorithm can easily handle sparse data sets where asymptotic results are suspect. The network approach, on which the algorithm is based, is also a powerful tool for exact statistical inference in other settings.

Keywords

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