| EPSRC Reference: |
GR/N32938/01 |
| Title: |
INFERENTIAL ASPECTS OF SEQUENTIAL ADAPTIVE URN DESIGNS |
| Principal Investigator: |
Coad, Dr D |
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| Department: |
Sch of Mathematical & Physical Sciences |
| Organisation: |
University of Sussex |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 May 2000 |
Ends: |
31 July 2000 |
Value (£): |
1,600
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| EPSRC Research Topic Classifications: |
| Statistics & Appl. Probability |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The project consists of two parts: Inference for adaptive urn designs and Sequential adaptive urn designs . In the first part of the project, the bias and variance of the maximum likelihood estimators of the success probabilities will be studied at the end of a clinical trial which has been conducted using an adaptive urn design. The aim is to obtain some simple approximations for the bias and variance for the urn designs considered by Ivanova and Rosenberger (2000, J Biopharm. Statist., 10, 93-107), and then to develop some second-order asymptotic theory for the distributions of the estimators. In the second part of the project, a stopping rule will be incorporated into the designs. This work will provide an extension to the work of Bather and Coad (1992, Sequential Anal. 11, 339-376) and Coad and Rosenberger (1999, Statist. Med., 18, 761-769). It is of particular interest to consider a new adaptive design, the drop-the-loser rule, which has been developed by Ivanova and Durham (2000, Unpublished manuscript). Designs of the type being studied are of direct relevance to pharmaceutical experimentation.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.sussex.ac.uk |