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Sequential experimentation in clinical trials. Design and analysis. (English) Zbl 1281.62001

Springer Series in Statistics. New York, NY: Springer (ISBN 978-1-4614-6113-5/hbk; 978-1-4614-6114-2/ebook). xv, 237 p. (2013).
Publisher’s description: This book presents an integrated methodology for sequential experimentation in clinical trials. The methodology allows sequential learning during the course of a trial to improve the efficiency of the trial design, which often lacks adequate information at the planning stage. Adaptation via sequential learning of unknown parameters is a central idea not only in adaptive designs of confirmatory clinical trials but also in the theory of optimal nonlinear experimental design, which the book covers as introductory material. Other introductory topics for which the book provides preparatory background include sequential testing theory, dynamic programming and stochastic optimization, survival analysis and resampling methods. In this way, the book gives a self-contained and thorough treatment of group sequential and adaptive designs, time-sequential trials with failure-time endpoints, and statistical inference at the conclusion of these trials. The book can be used for graduate courses in sequential analysis, clinical trials, and biostatistics, and also for short courses on clinical trials at professional meetings. Each chapter ends with supplements for the reader to explore related concepts and methods, and problems which can be used for exercises in graduate courses.

MSC:

62-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
62Lxx Sequential statistical methods
62P10 Applications of statistics to biology and medical sciences; meta analysis
92C50 Medical applications (general)
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