The Minimax Risk for Two-Stage Procedures in Clinical Trials
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1985 · Volume 47 · Issue 3
DOI: 10.1111/j.2517-6161.1985.tb01376.x
Abstract
The risk involved in a trial to compare two medical treatments is shared by patients who receive the inferior treatment during the experimental phase and those remaining after the experiment who might all receive the inferior treatment if the results are misleading. We consider the maximum of this risk with respect to the unknown probabilities of success and seek allocation rules that minimize this quantity, for a given total of patients. It needs extensive computations to find such minimax procedures, but there are simple and almost equally effective allocation rules based on a truncated sequential probability ratio test.
Keywords
clinical trials, bayes procedures, sequential probability ratio test, minimax allocation rules
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