Computing an exact confidence interval for the common odds ratio in several 2x2 contingency tables
Abstract
A quadratic time network algorithm is providing for computing an exact confidence interval for the common odds ratio in several 2 X 2 independent contingency tables. The algorithm is shown to be a considerable improvement on an existing algorithm development 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.
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