The Annals of Statistics
- Ann. Statist.
- Volume 13, Number 2 (1985), 785-788.
A Local Limit Theorem for a Biased Coin Design for Sequential Tests
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.
Ann. Statist., Volume 13, Number 2 (1985), 785-788.
First available in Project Euclid: 12 April 2007
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 62L05: Sequential design
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