The Annals of Statistics

A Local Limit Theorem for a Biased Coin Design for Sequential Tests

Nancy E. Heckman

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Abstract

In a clinical comparison of responses to two treatments, patients are admitted sequentially and given one of the two treatments. The allocation is determined randomly, to decrease the possibility of personal bias in the selection of subjects for the test. To balance the assignments, the probability of receiving one treatment is a function of the proportion of patients previously assigned to that treatment. A local limit theorem for the distribution of the number of patients assigned to the first treatment is developed.

Article information

Source
Ann. Statist., Volume 13, Number 2 (1985), 785-788.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176349555

Digital Object Identifier
doi:10.1214/aos/1176349555

Mathematical Reviews number (MathSciNet)
MR790573

Zentralblatt MATH identifier
0574.62077

JSTOR
links.jstor.org

Subjects
Primary: 62L05: Sequential design

Keywords
Sequential experiment biased coin design clinical trial urn process

Citation

Heckman, Nancy E. A Local Limit Theorem for a Biased Coin Design for Sequential Tests. Ann. Statist. 13 (1985), no. 2, 785--788. doi:10.1214/aos/1176349555. https://projecteuclid.org/euclid.aos/1176349555


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