School of Mathematics, University of Birmingham
Departmental Statistics Seminar*
Response-Adaptive Designs For Angular Responses
Atanu Biswas, Applied Statistics Unit, Indian Statistical Institute,
Kolkata **
25th February 2011
2:30 pm
Room no. 222 (MAGIC Room)
Watson Building
School of Mathematics
Edgbaston Campus
University of Birmingham *
Abstract:
Response-adaptive designs are used in phase III clinical trials to
allocate a larger proportion of patients to the better treatment. Most
of the works in this direction are done for binary responses. Some works
are available for continuous responses as well, where mostly normally
distributed responses are considered.
Circular data can occur in many biomedical studies, e.g. some
measurements in ophthalmologic studies, degrees of rotation of hand or
waist, etc. There is no available work on response-adaptive designs for
circular data. In this present work we provide some response-adaptive
designs where the responses are of circular nature. First we consider an
ad-hoc allocation design, and then we propose an optimal design in this
context. Some performance characteristics of the proposed designs are
studied. Some test procedures are suggested including the Behren-Fisher
type of test in the circular set up. A detailed simulation study is
carried out to assess the performance characteristics of the proposed
designs. The proposed designs are then illustrated by using a real data
set on astigmatism induced in two types of cataract surgeries, the trial
being redesigned using our response-adaptive allocation procedures.
--
Apratim Guha
Lecturer
School of Mathematics
University of Birmingham
Birmingham, U.K.
Phone: 44 121 4146196
Email:[log in to unmask]
--
Apratim Guha
Lecturer
School of Mathematics
University of Birmingham
Birmingham, U.K.
Phone: 44 121 4146196
Email: [log in to unmask]
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