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Exact logistic regression has become an important analytical technique, especially in the pharmaceutical industry, since the usual asymptotic methods for analyzing small, skewed, or sparse data sets are unreliable. Inference based on enumerating the exact distributions of sufficient statistics for parameters of interest in a logistic regression model, conditional on the remaining parameters, is computationally infeasible for many problems. Hirji, Mehta, and Patel (1987) developed an efficientdoi:10.2307/3556154 fatcat:qppmkikj5rec3gvm55ij4lznde