Clinical trials are complex and usually involve multiple objectives such as
controlling type I error rate, increasing power to detect treatment difference,
assigning more patients to better treatment, and more. In literature, both
response-adaptive randomization (RAR) procedures (by changing randomization
procedure sequentially) and sequential monitoring (by changing analysis
procedure sequentially) have been proposed to achieve these objectives to some
degree. In this paper, we propose to sequentially monitor response-adaptive
randomized clinical trial and study it's properties.
This paper is withdrawn
Response-adaptive randomization has recently attracted a lot of attention in
the literature. In this paper, we propose a new and simple family of
response-adaptive randomization procedures that attain the Cramer--Rao lower
bounds on the allocation variances for any allocation proportions, including
optimal allocation proportions. The allocation probability functions of
proposed procedures are discontinuous. The existing large sample theory for
adaptive designs relies on Taylor expansions of the allocation probability
functions, which do not apply to nondifferentiable cases.