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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1974 Nov;71(11):4435–4436. doi: 10.1073/pnas.71.11.4435

A Sequential Test for Two Binomial Populations

Herbert Robbins 1,2
PMCID: PMC433900  PMID: 16592196

Abstract

A sequential procedure is proposed for deciding which of two sequences of Bernoulli trials has the greater success probability. The procedure covers cases in which the two sequences are being observed at different rates, whether by design or otherwise, as well as the case of pairwise observation. The error probability of the procedure depends approximately only on the odds ratio of the two probabilities, a desirable property in deciding which of two medical treatments has the greater probability of success.

Keywords: statistical, clinical trials

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