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Abstract Details
Activity Number:
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232
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Type:
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Contributed
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Date/Time:
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Monday, August 1, 2011 : 2:00 PM to 3:50 PM
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Sponsor:
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Biometrics Section
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Abstract - #301886 |
Title:
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Comparison of Treatments and Data-Dependent Allocation for Circular Data from a Cataract Surgery
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Author(s):
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Somak Dutta*+ and Atanu Biswas and Arnab Kumar Laha
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Companies:
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The University of Chicago and Indian Statistical Institute and Indian Institute of Management
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Address:
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Department of Statistics, Chicago, IL, 60637,
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Keywords:
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Circular data ;
Ethical allocation ;
Optimal allocation ;
Response-adaptive design ;
von Mises distribution
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Abstract:
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Circular data is a natural outcome in many biomedical studies, e.g. some measurements in ophthalmologic studies, degrees of rotation of hand or waist, etc. With reference to a real data set on astigmatism induced in two types of cataract surgeries we carry out some two-sample testing problems including the Behren-Fisher type of test in the circular set up. Response-adaptive designs are used in phase III clinical trials to allocate a larger proportion of patients to the better treatment. There is no available work on response-adaptive designs for circular data. Here we provide some response-adaptive designs where the responses are of circular nature, first an ad-hoc allocation design, and then an optimal design. Detailed simulation study and the analysis of the data set including redesigning the cataract surgery data are carried out.
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