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Details of Grant 

EPSRC Reference: GR/N32938/01
Title: INFERENTIAL ASPECTS OF SEQUENTIAL ADAPTIVE URN DESIGNS
Principal Investigator: Coad, Dr D
Other Investigators:
Researcher Co-Investigators:
Project Partners:
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
EPSRC Research Topic Classifications:
Statistics & Appl. Probability
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
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to consider a new adaptive design, the drop-the-loser rule, which has been developed by Ivanova and Durham (2000, Unpublished manuscript).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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Organisation Website: http://www.sussex.ac.uk