Abstract
Simon and Weiss (1975) consider the formulation of the clinical trial as a selection procedure (Bechhofer, Kiefer and Sobel, 1968). The object of the trial is to choose the better treatment with probability = P*, where P* is assigned, when the difference in success probabilities is = ?*, ?* also being assigned. They consider a family of single step allocation methods for the reduction of the number of patients given the poorer treatment. Using numerical results, Simon and Weiss conclude that if the stopping rule is based on the difference in successes then either alternating allocation or play-the-winner allocation appears to be optimal (Robbins, 1956; Sobel, Weiss, 1970). We make precise the above statement and then in our main theorem prove it to be true for all ?* sufficiently small and P* ? 1
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Trabajos de Estadistica y de Investigacion Operativa
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
