The Annals of Statistics
- Ann. Statist.
- Volume 12, Number 3 (1984), 1018-1034.
Properties of Biased Coin Designs in Sequential Clinical Trials
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.
Ann. Statist., Volume 12, Number 3 (1984), 1018-1034.
First available in Project Euclid: 12 April 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 62L05: Sequential design
Secondary: 60F17: Functional limit theorems; invariance principles
Smith, Richard L. Properties of Biased Coin Designs in Sequential Clinical Trials. Ann. Statist. 12 (1984), no. 3, 1018--1034. doi:10.1214/aos/1176346718. https://projecteuclid.org/euclid.aos/1176346718