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An Approximation to the Bayes Optimal Multi‐Stage Design in the Colton Model for Clinical Trials
Author(s) -
Langenberg P.,
Srinivasan R.
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250106
Subject(s) - bayes' theorem , optimal design , simple (philosophy) , computer science , mathematical optimization , mathematics , sampling (signal processing) , statistics , bayesian probability , algorithm , philosophy , epistemology , filter (signal processing) , computer vision
A simple and operationally convenient approximation is proposed for the Bayes optimal multistage design within the Colton decision‐theoretic model for the comparison of two medical treatments. The two‐ and three‐stage designs are developed in full; the latter is found to be superior to several existing designs including some involving sequential adaptive sampling.