Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anscombe's Model for Sequential Clinical Trials Revisited   In Anscombe's classical model, the objective is to find the optimal
sequential rule for learning about the difference between two alternative
treatments and subsequently selecting the superior one. The population for
which the procedure is optimised has size $N$ and includes both the patients in
the trial and those which are treated with the chosen alternative after the
trial. We review earlier work on this problem and give a detailed treatment of
the problem itself. In particular, while previous work has mainly focused on
the case of conjugate normal priors for the incremental effect, we demonstrate
how to handle the problem for priors of a general form. We also discuss methods
for numerical solutions and the practical implications of the results for the
regulation of clinical trials.
  Two extensions of the model are proposed and analysed. The first breaks the
symmetry of the treatments, giving one the role of the current standard being
administered in parallel with the trial. We show how certain asymptotic results
due to Chernoff can be adapted to this asymmetric case. The other extension
assumes that $N$ is a random variable instead of a known constant.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg