Sequential Methods and Their Applications

Sequential Methods and Their Applications PDF

Author: Nitis Mukhopadhyay

Publisher: CRC Press

Published: 2008-10-28

Total Pages: 512

ISBN-13: 1420010026

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Interactively Run Simulations and Experiment with Real or Simulated Data to Make Sequential Analysis Come AliveTaking an accessible, nonmathematical approach to this field, Sequential Methods and Their Applications illustrates the efficiency of sequential methodologies when dealing with contemporary statistical challenges in many areas.The book fir

Group Sequential Methods with Applications to Clinical Trials

Group Sequential Methods with Applications to Clinical Trials PDF

Author: Christopher Jennison

Publisher: CRC Press

Published: 1999-09-15

Total Pages: 416

ISBN-13: 9781584888581

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Group sequential methods answer the needs of clinical trial monitoring committees who must assess the data available at an interim analysis. These interim results may provide grounds for terminating the study-effectively reducing costs-or may benefit the general patient population by allowing early dissemination of its findings. Group sequential methods provide a means to balance the ethical and financial advantages of stopping a study early against the risk of an incorrect conclusion. Group Sequential Methods with Applications to Clinical Trials describes group sequential stopping rules designed to reduce average study length and control Type I and II error probabilities. The authors present one-sided and two-sided tests, introduce several families of group sequential tests, and explain how to choose the most appropriate test and interim analysis schedule. Their topics include placebo-controlled randomized trials, bio-equivalence testing, crossover and longitudinal studies, and linear and generalized linear models. Research in group sequential analysis has progressed rapidly over the past 20 years. Group Sequential Methods with Applications to Clinical Trials surveys and extends current methods for planning and conducting interim analyses. It provides straightforward descriptions of group sequential hypothesis tests in a form suited for direct application to a wide variety of clinical trials. Medical statisticians engaged in any investigations planned with interim analyses will find this book a useful and important tool.

Applied Sequential Methodologies

Applied Sequential Methodologies PDF

Author: Nitis Mukhopadhyay

Publisher: CRC Press

Published: 2004-01-28

Total Pages: 498

ISBN-13: 9780824753955

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A technically precise yet clear presentation of modern sequential methodologies having immediate applications to practical problems in the real world, Applied Sequential Methodologies communicates invaluable techniques for data mining, agricultural science, genetics, computer simulation, finance, clinical trials, sonar signal detection, randomization, multiple comparisons, psychology, tracking, surveillance, and numerous additional areas of application. Includes more than 500 references, 165 figures and tables, and over 25 pages of subject and author indexes. Applied Sequential Methodologies brings the crucial nature of sequential approaches up to speed with recent theoretical gains, demonstrating their utility for solving real-life problems associated with Change-point detection in multichannel and distributed systems Best component selection for multivariate distributions Multistate processes Approximations for moving sums of discrete random variables Interim and terminal analyses of clinical trials Adaptive designs for longitudinal clinical trials Slope estimation in measurement-error models Tests for randomization and target tracking Appropriate count of simulation runs Stock price models Orders of genes Size and power control in multiple comparisons Authored by 33 leading scientists, this volume will greatly benefit sequential analysts, data analysts, applied statisticians, biometricians, clinical trialists, and upper-level undergraduate and graduate students in these disciplines.

Applied Sequential Methodologies

Applied Sequential Methodologies PDF

Author: Nitis Mukhopadhyay

Publisher: CRC Press

Published: 2004-01-28

Total Pages: 494

ISBN-13: 1482276577

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A technically precise yet clear presentation of modern sequential methodologies having immediate applications to practical problems in the real world, Applied Sequential Methodologies communicates invaluable techniques for data mining, agricultural science, genetics, computer simulation, finance, clinical trials, sonar signal detection, randomizati

Sequential Monte Carlo Methods in Practice

Sequential Monte Carlo Methods in Practice PDF

Author: Arnaud Doucet

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 590

ISBN-13: 1475734379

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Monte Carlo methods are revolutionizing the on-line analysis of data in many fileds. They have made it possible to solve numerically many complex, non-standard problems that were previously intractable. This book presents the first comprehensive treatment of these techniques.

Sequential Methods in Statistics

Sequential Methods in Statistics PDF

Author: G. Barrie Wetherill

Publisher: Chapman & Hall

Published: 1975

Total Pages: 256

ISBN-13:

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The sequential probability ratin test; Sequential tests between three hypotheses; Extensions to the SPRT; Some applications of Cox's theorem; Some methods leading to closed boundaries; Decision theory; Sequential estimation; Sequential estimation of points on regression functions; Sequential estimation of points on quantal response curves; Double sampling; Selection procedures.

Advances in Sequence Analysis: Theory, Method, Applications

Advances in Sequence Analysis: Theory, Method, Applications PDF

Author: Philippe Blanchard

Publisher: Springer

Published: 2014-07-02

Total Pages: 308

ISBN-13: 3319049690

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This book gives a general view of sequence analysis, the statistical study of successions of states or events. It includes innovative contributions on life course studies, transitions into and out of employment, contemporaneous and historical careers, and political trajectories. The approach presented in this book is now central to the life-course perspective and the study of social processes more generally. This volume promotes the dialogue between approaches to sequence analysis that developed separately, within traditions contrasted in space and disciplines. It includes the latest developments in sequential concepts, coding, atypical datasets and time patterns, optimal matching and alternative algorithms, survey optimization, and visualization. Field studies include original sequential material related to parenting in 19th-century Belgium, higher education and work in Finland and Italy, family formation before and after German reunification, French Jews persecuted in occupied France, long-term trends in electoral participation, and regime democratization. Overall the book reassesses the classical uses of sequences and it promotes new ways of collecting, formatting, representing and processing them. The introduction provides basic sequential concepts and tools, as well as a history of the method. Chapters are presented in a way that is both accessible to the beginner and informative to the expert.

Sequential Experimentation in Clinical Trials

Sequential Experimentation in Clinical Trials PDF

Author: Jay Bartroff

Publisher: Springer Science & Business Media

Published: 2012-12-12

Total Pages: 250

ISBN-13: 1461461146

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Sequential Experimentation in Clinical Trials: Design and Analysis is developed from decades of work in research groups, statistical pedagogy, and workshop participation. Different parts of the book can be used for short courses on clinical trials, translational medical research, and sequential experimentation. The authors have successfully used the book to teach innovative clinical trial designs and statistical methods for Statistics Ph.D. students at Stanford University. There are additional online supplements for the book that include chapter-specific exercises and information. Sequential Experimentation in Clinical Trials: Design and Analysis covers the much broader subject of sequential experimentation that includes group sequential and adaptive designs of Phase II and III clinical trials, which have attracted much attention in the past three decades. In particular, the broad scope of design and analysis problems in sequential experimentation clearly requires a wide range of statistical methods and models from nonlinear regression analysis, experimental design, dynamic programming, survival analysis, resampling, and likelihood and Bayesian inference. The background material in these building blocks is summarized in Chapter 2 and Chapter 3 and certain sections in Chapter 6 and Chapter 7. Besides group sequential tests and adaptive designs, the book also introduces sequential change-point detection methods in Chapter 5 in connection with pharmacovigilance and public health surveillance. Together with dynamic programming and approximate dynamic programming in Chapter 3, the book therefore covers all basic topics for a graduate course in sequential analysis designs.