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An urn model for odds ratio based adaptive phase III clinical trials

Basak, Gopal ; Biswas, Atanu and Volkov, Stanislav LU orcid (2008) In Markov Processes and Related Fields 14(4). p.571-582
Abstract
We study the limiting behaviour of a generalized Polya urn, motivated by adaptive data-dependent allocation designs, which are used in Phase III clinical trials in order to allocate a larger number of patients to the better treatment. We establish rigorous limiting results for the model, including the Central Limit Theorem, thus providing the theoretical background for using the odds ratio-based adaptive designs.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
adaptive designs, Central Limit Theorem, limiting allocation probability, odds ratio estimates, play-the-winner rule
in
Markov Processes and Related Fields
volume
14
issue
4
pages
571 - 582
publisher
Polymat Ltd
ISSN
1024-2953
language
English
LU publication?
yes
id
979b08a1-fd83-4c46-ba06-bb490fc223e8 (old id 4588103)
date added to LUP
2016-04-01 14:22:02
date last changed
2019-05-08 02:15:28
@article{979b08a1-fd83-4c46-ba06-bb490fc223e8,
  abstract     = {{We study the limiting behaviour of a generalized Polya urn, motivated by adaptive data-dependent allocation designs, which are used in Phase III clinical trials in order to allocate a larger number of patients to the better treatment. We establish rigorous limiting results for the model, including the Central Limit Theorem, thus providing the theoretical background for using the odds ratio-based adaptive designs.}},
  author       = {{Basak, Gopal and Biswas, Atanu and Volkov, Stanislav}},
  issn         = {{1024-2953}},
  keywords     = {{adaptive designs; Central Limit Theorem; limiting allocation probability; odds ratio estimates; play-the-winner rule}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{571--582}},
  publisher    = {{Polymat Ltd}},
  series       = {{Markov Processes and Related Fields}},
  title        = {{An urn model for odds ratio based adaptive phase III clinical trials}},
  volume       = {{14}},
  year         = {{2008}},
}