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Biometrika 1971 58(3):403-417; doi:10.1093/biomet/58.3.403
© 1971 by Biometrika Trust
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Forcing a sequential experiment to be balanced

BRADLEY EFRON

Stanford University

Subjects arrive sequentially at an experimental site and must be assigned immediately to treatment or control groups. In order to avoid biasing the results of the experiment it is customary to make the assignments by independent flips of a fair coin, but in small-sized experiments this may result in a severe imbalance between the numbers of treatments and controls. This paper discusses a new method of assigning the subjects which tends to balance the experiment, but at the same time is not over vulnerable to various common forms of experimental bias.

Key Words: Randomization in experimental design • Balance • Two treatment sequential experiments • Permutation tests


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