The Annals of Statistics

Properties of Biased Coin Designs in Sequential Clinical Trials

Richard L. Smith

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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.

Article information

Source
Ann. Statist., Volume 12, Number 3 (1984), 1018-1034.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176346718

Digital Object Identifier
doi:10.1214/aos/1176346718

Mathematical Reviews number (MathSciNet)
MR751289

Zentralblatt MATH identifier
0553.62068

JSTOR
links.jstor.org

Subjects
Primary: 62L05: Sequential design
Secondary: 60F17: Functional limit theorems; invariance principles

Keywords
Biased coin designs sequential clinical trials randomisation martingale invariance principle weak convergence

Citation

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


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