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September, 1984 Properties of Biased Coin Designs in Sequential Clinical Trials
Richard L. Smith
Ann. Statist. 12(3): 1018-1034 (September, 1984). DOI: 10.1214/aos/1176346718

Abstract

Martingale methods and the martingale invariance principle are used to derive central limit theorems and related results for biased coin designs of the kind previously studied by Efron, Wei and many others. The results are applied to the study of selection bias. The method is developed for the simplest two-treatment case and then extended, first to the case of several treatments, and secondly to the case of two treatments with prognostic factors.

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Richard L. Smith. "Properties of Biased Coin Designs in Sequential Clinical Trials." Ann. Statist. 12 (3) 1018 - 1034, September, 1984. https://doi.org/10.1214/aos/1176346718

Information

Published: September, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0553.62068
MathSciNet: MR751289
Digital Object Identifier: 10.1214/aos/1176346718

Subjects:
Primary: 62L05
Secondary: 60F17

Rights: Copyright © 1984 Institute of Mathematical Statistics

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Vol.12 • No. 3 • September, 1984
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