Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150723 | Journal of Statistical Planning and Inference | 2006 | 16 Pages |
Abstract
Let toxicity to treatment be a Bernoulli random variable for which the probability of failure increases with dose. Consider the problem of identifying a dose μμ having pre-specified probability of failure using data from groups of subjects who arrive sequentially for treatment. There is considerable theory available in this setting for fully sequential up-and-down procedures. This paper presents asymptotic and finite theoretical results for Markovian up-and-down procedures when subjects are treated in groups. Practical instructions are given on how to select the design parameters so as to cause the treatments to cluster around the unknown dose μμ. Examples are given to illustrate how this group procedure behaves for small sample sizes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Misrak Gezmu, Nancy Flournoy,