Controversial Statistical Issues in Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1439849625
Total Pages : 611 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Controversial Statistical Issues in Clinical Trials by : Shein-Chung Chow

Download or read book Controversial Statistical Issues in Clinical Trials written by Shein-Chung Chow and published by CRC Press. This book was released on 2016-04-19 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: In clinical trial practice, controversial statistical issues inevitably occur regardless of the compliance with good statistical practice and good clinical practice. But by identifying the causes of the issues and correcting them, the study objectives of clinical trials can be better achieved. Controversial Statistical Issues in Clinical Trials covers commonly encountered controversial statistical issues in clinical trials and, whenever possible, makes recommendations to resolve these problems. The book focuses on issues occurring at various stages of clinical research and development, including early-phase clinical development (such as bioavailability/bioequivalence), bench-to-bedside translational research, and late-phase clinical development. Numerous examples illustrate the impact of these issues on the evaluation of the safety and efficacy of the test treatment under investigation. The author also offers recommendations regarding possible resolutions of the problems. Written by one of the preeminent experts in the field, this book provides a useful desk reference and state-of-the art examination of problematic issues in clinical trials for scientists in the pharmaceutical industry, medical/statistical reviewers in government regulatory agencies, and researchers and students in academia.

Statistical Issues in Drug Development

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Publisher : John Wiley & Sons
ISBN 13 : 1119238579
Total Pages : 84 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Statistical Issues in Drug Development by : Stephen S. Senn

Download or read book Statistical Issues in Drug Development written by Stephen S. Senn and published by John Wiley & Sons. This book was released on 2021-08-23 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Issues in Drug Development The revised third edition of Statistical Issues in Drug Development delivers an insightful treatment of the intersection between statistics and the life sciences. The book offers readers new discussions of crucial topics, including cluster randomization, historical controls, responder analysis, studies in children, post-hoc tests, estimands, publication bias, the replication crisis, and many more. This work presents the major statistical issues in drug development in a way that is accessible and comprehensible to life scientists working in the field, and takes pains not to gloss over significant disagreements in the field of statistics, while encouraging communication between the statistical and life sciences disciplines. In addition to new material on topics like invalid inversion, severity, random effects in network meta-analysis, and explained variation, readers will benefit from the inclusion of: A thorough introduction to basic topics in drug development and statistics, including the role played by statistics in drug development An exploration of the four views of statistics in drug development, including the historical, methodological, technical, and professional An examination of debatable and controversial topics in drug development, including the allocation of treatments to patients in clinical trials, baselines and covariate information, and the measurement of treatment effects Perfect for life scientists and other professionals working in the field of drug development, Statistical Issues in Drug Development is the ideal resource for anyone seeking a one-stop reference to enhance their understanding of the use of statistics during drug development.

Statistical Issues in Drug Research and Development

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Publisher : CRC Press
ISBN 13 : 1351414445
Total Pages : 387 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Statistical Issues in Drug Research and Development by : Karl E. Peace

Download or read book Statistical Issues in Drug Research and Development written by Karl E. Peace and published by CRC Press. This book was released on 2017-09-19 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of topics addressed by the ASA Biopharmaceutical Section work groups, including the etiology and evolution of the work groups, the work group guidelines and structure, and the statistical issues associated with clinical trials in clinical drug development programs.

Statistical Issues in Drug Development

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Publisher : John Wiley & Sons
ISBN 13 : 9780470723579
Total Pages : 523 pages
Book Rating : 4.7/5 (235 download)

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Book Synopsis Statistical Issues in Drug Development by : Stephen S. Senn

Download or read book Statistical Issues in Drug Development written by Stephen S. Senn and published by John Wiley & Sons. This book was released on 2008-02-28 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drug development is the process of finding and producingtherapeutically useful pharmaceuticals, turning them into safe andeffective medicine, and producing reliable information regardingthe appropriate dosage and dosing intervals. With regulatoryauthorities demanding increasingly higher standards in suchdevelopments, statistics has become an intrinsic and criticalelement in the design and conduct of drug development programmes. Statistical Issues in Drug Development presents anessential and thought provoking guide to the statistical issues andcontroversies involved in drug development. This highly readable second edition has been updated toinclude: Comprehensive coverage of the design and interpretation ofclinical trials. Expanded sections on missing data, equivalence, meta-analysisand dose finding. An examination of both Bayesian and frequentist methods. A new chapter on pharmacogenomics and expanded coverage ofpharmaco-epidemiology and pharmaco-economics. Coverage of the ICH guidelines, in particular ICH E9,Statistical Principles for Clinical Trials. It is hoped that the book will stimulate dialogue betweenstatisticians and life scientists working within the pharmaceuticalindustry. The accessible and wide-ranging coverage make itessential reading for both statisticians and non-statisticiansworking in the pharmaceutical industry, regulatory bodies andmedical research institutes. There is also much to benefitundergraduate and postgraduate students whose courses include amedical statistics component.

Innovative Strategies, Statistical Solutions and Simulations for Modern Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1351214527
Total Pages : 218 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Innovative Strategies, Statistical Solutions and Simulations for Modern Clinical Trials by : Mark Chang

Download or read book Innovative Strategies, Statistical Solutions and Simulations for Modern Clinical Trials written by Mark Chang and published by CRC Press. This book was released on 2019-03-20 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is truly an outstanding book. [It] brings together all of the latest research in clinical trials methodology and how it can be applied to drug development.... Chang et al provide applications to industry-supported trials. This will allow statisticians in the industry community to take these methods seriously." Jay Herson, Johns Hopkins University The pharmaceutical industry's approach to drug discovery and development has rapidly transformed in the last decade from the more traditional Research and Development (R & D) approach to a more innovative approach in which strategies are employed to compress and optimize the clinical development plan and associated timelines. However, these strategies are generally being considered on an individual trial basis and not as part of a fully integrated overall development program. Such optimization at the trial level is somewhat near-sighted and does not ensure cost, time, or development efficiency of the overall program. This book seeks to address this imbalance by establishing a statistical framework for overall/global clinical development optimization and providing tactics and techniques to support such optimization, including clinical trial simulations. Provides a statistical framework for achieve global optimization in each phase of the drug development process. Describes specific techniques to support optimization including adaptive designs, precision medicine, survival-endpoints, dose finding and multiple testing. Gives practical approaches to handling missing data in clinical trials using SAS. Looks at key controversial issues from both a clinical and statistical perspective. Presents a generous number of case studies from multiple therapeutic areas that help motivate and illustrate the statistical methods introduced in the book. Puts great emphasis on software implementation of the statistical methods with multiple examples of software code (both SAS and R). It is important for statisticians to possess a deep knowledge of the drug development process beyond statistical considerations. For these reasons, this book incorporates both statistical and "clinical/medical" perspectives.

Statistical Monitoring of Clinical Trials

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Publisher : Springer Science & Business Media
ISBN 13 : 0387449701
Total Pages : 268 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Statistical Monitoring of Clinical Trials by : Michael A. Proschan

Download or read book Statistical Monitoring of Clinical Trials written by Michael A. Proschan and published by Springer Science & Business Media. This book was released on 2006-12-31 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approach taken in this book is, to studies monitored over time, what the Central Limit Theorem is to studies with only one analysis. Just as the Central Limit Theorem shows that test statistics involving very different types of clinical trial outcomes are asymptotically normal, this book shows that the joint distribution of the test statistics at different analysis times is asymptotically multivariate normal with the correlation structure of Brownian motion ("the B-value") – irrespective of the test statistic. Thus, this book offers statisticians an accessible, incremental approach to understanding Brownian motion as related to clinical trials.

Data and Safety Monitoring Committees in Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1420070398
Total Pages : 194 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Data and Safety Monitoring Committees in Clinical Trials by : Jay Herson

Download or read book Data and Safety Monitoring Committees in Clinical Trials written by Jay Herson and published by CRC Press. This book was released on 2009-03-13 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the practical clinical and statistical issues that arise in pharmaceutical industry trials, this book summarizes the author’s experience in serving on many data monitoring committees (DMCs) and in heading up a contract research organization that provided statistical support to nearly seventy-five DMCs. It explains the difference in DMC operations between the pharmaceutical industry and National Institutes of Health (NIH)-sponsored trials. Leading you through the types of reports for adverse events and lab values, the author presents the statistical requirements of data monitoring committees and gives advice on how statisticians can best interact with physician members of these committees. He also shows how physicians think differently about safety data than statisticians, proving that both views are needed.

Small Clinical Trials

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Publisher : National Academies Press
ISBN 13 : 9780309171144
Total Pages : 222 pages
Book Rating : 4.1/5 (711 download)

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Book Synopsis Small Clinical Trials by : Institute of Medicine

Download or read book Small Clinical Trials written by Institute of Medicine and published by National Academies Press. This book was released on 2001-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clinical trials are used to elucidate the most appropriate preventive, diagnostic, or treatment options for individuals with a given medical condition. Perhaps the most essential feature of a clinical trial is that it aims to use results based on a limited sample of research participants to see if the intervention is safe and effective or if it is comparable to a comparison treatment. Sample size is a crucial component of any clinical trial. A trial with a small number of research participants is more prone to variability and carries a considerable risk of failing to demonstrate the effectiveness of a given intervention when one really is present. This may occur in phase I (safety and pharmacologic profiles), II (pilot efficacy evaluation), and III (extensive assessment of safety and efficacy) trials. Although phase I and II studies may have smaller sample sizes, they usually have adequate statistical power, which is the committee's definition of a "large" trial. Sometimes a trial with eight participants may have adequate statistical power, statistical power being the probability of rejecting the null hypothesis when the hypothesis is false. Small Clinical Trials assesses the current methodologies and the appropriate situations for the conduct of clinical trials with small sample sizes. This report assesses the published literature on various strategies such as (1) meta-analysis to combine disparate information from several studies including Bayesian techniques as in the confidence profile method and (2) other alternatives such as assessing therapeutic results in a single treated population (e.g., astronauts) by sequentially measuring whether the intervention is falling above or below a preestablished probability outcome range and meeting predesigned specifications as opposed to incremental improvement.

Introduction to Statistical Methods for Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1584880279
Total Pages : 465 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Introduction to Statistical Methods for Clinical Trials by : Thomas D. Cook

Download or read book Introduction to Statistical Methods for Clinical Trials written by Thomas D. Cook and published by CRC Press. This book was released on 2007-11-19 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clinical trials have become essential research tools for evaluating the benefits and risks of new interventions for the treatment and prevention of diseases, from cardiovascular disease to cancer to AIDS. Based on the authors’ collective experiences in this field, Introduction to Statistical Methods for Clinical Trials presents various statistical topics relevant to the design, monitoring, and analysis of a clinical trial. After reviewing the history, ethics, protocol, and regulatory issues of clinical trials, the book provides guidelines for formulating primary and secondary questions and translating clinical questions into statistical ones. It examines designs used in clinical trials, presents methods for determining sample size, and introduces constrained randomization procedures. The authors also discuss how various types of data must be collected to answer key questions in a trial. In addition, they explore common analysis methods, describe statistical methods that determine what an emerging trend represents, and present issues that arise in the analysis of data. The book concludes with suggestions for reporting trial results that are consistent with universal guidelines recommended by medical journals. Developed from a course taught at the University of Wisconsin for the past 25 years, this textbook provides a solid understanding of the statistical approaches used in the design, conduct, and analysis of clinical trials.

Statistical Issues in the Design and Analysis of Clinical Trials

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Publisher :
ISBN 13 : 9783659845543
Total Pages : 248 pages
Book Rating : 4.8/5 (455 download)

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Book Synopsis Statistical Issues in the Design and Analysis of Clinical Trials by : Yanning Liu

Download or read book Statistical Issues in the Design and Analysis of Clinical Trials written by Yanning Liu and published by . This book was released on 2017-01-11 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Innovative Statistics in Regulatory Science

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Publisher : CRC Press
ISBN 13 : 1000710815
Total Pages : 298 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Innovative Statistics in Regulatory Science by : Shein-Chung Chow

Download or read book Innovative Statistics in Regulatory Science written by Shein-Chung Chow and published by CRC Press. This book was released on 2019-11-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical methods that are commonly used in the review and approval process of regulatory submissions are usually referred to as statistics in regulatory science or regulatory statistics. In a broader sense, statistics in regulatory science can be defined as valid statistics that are employed in the review and approval process of regulatory submissions of pharmaceutical products. In addition, statistics in regulatory science are involved with the development of regulatory policy, guidance, and regulatory critical clinical initiatives related research. This book is devoted to the discussion of statistics in regulatory science for pharmaceutical development. It covers practical issues that are commonly encountered in regulatory science of pharmaceutical research and development including topics related to research activities, review of regulatory submissions, recent critical clinical initiatives, and policy/guidance development in regulatory science. Devoted entirely to discussing statistics in regulatory science for pharmaceutical development. Reviews critical issues (e.g., endpoint/margin selection and complex innovative design such as adaptive trial design) in the pharmaceutical development and regulatory approval process. Clarifies controversial statistical issues (e.g., hypothesis testing versus confidence interval approach, missing data/estimands, multiplicity, and Bayesian design and approach) in review/approval of regulatory submissions. Proposes innovative thinking regarding study designs and statistical methods (e.g., n-of-1 trial design, adaptive trial design, and probability monitoring procedure for sample size) for rare disease drug development. Provides insight regarding current regulatory clinical initiatives (e.g., precision/personalized medicine, biomarker-driven target clinical trials, model informed drug development, big data analytics, and real world data/evidence). This book provides key statistical concepts, innovative designs, and analysis methods that are useful in regulatory science. Also included are some practical, challenging, and controversial issues that are commonly seen in the review and approval process of regulatory submissions. About the author Shein-Chung Chow, Ph.D. is currently a Professor at Duke University School of Medicine, Durham, NC. He was previously the Associate Director at the Office of Biostatistics, Center for Drug Evaluation and Research, United States Food and Drug Administration (FDA). Dr. Chow has also held various positions in the pharmaceutical industry such as Vice President at Millennium, Cambridge, MA, Executive Director at Covance, Princeton, NJ, and Director and Department Head at Bristol-Myers Squibb, Plainsboro, NJ. He was elected Fellow of the American Statistical Association and an elected member of the ISI (International Statistical Institute). Dr. Chow is Editor-in-Chief of the Journal of Biopharmaceutical Statistics and Biostatistics Book Series, Chapman and Hall/CRC Press, Taylor & Francis, New York. Dr. Chow is the author or co-author of over 300 methodology papers and 30 books.

Cancer Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1498706908
Total Pages : 474 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Cancer Clinical Trials by : Stephen L. George

Download or read book Cancer Clinical Trials written by Stephen L. George and published by CRC Press. This book was released on 2016-08-19 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cancer Clinical Trials: Current and Controversial Issues in Design and Analysis provides statisticians with an understanding of the critical challenges currently encountered in oncology trials. Well-known statisticians from academic institutions, regulatory and government agencies (such as the U.S. FDA and National Cancer Institute), and the pharmaceutical industry share their extensive experiences in cancer clinical trials and present examples taken from actual trials. The book covers topics that are often perplexing and sometimes controversial in cancer clinical trials. Most of the issues addressed are also important for clinical trials in other settings. After discussing general topics, the book focuses on aspects of early and late phase clinical trials. It also explores personalized medicine, including biomarker-based clinical trials, adaptive clinical trial designs, and dynamic treatment regimes.

Biopharmaceutical Applied Statistics Symposium

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Publisher : Springer
ISBN 13 : 9811078262
Total Pages : 245 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Biopharmaceutical Applied Statistics Symposium by : Karl E. Peace

Download or read book Biopharmaceutical Applied Statistics Symposium written by Karl E. Peace and published by Springer. This book was released on 2018-08-21 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This BASS book Series publishes selected high-quality papers reflecting recent advances in the design and biostatistical analysis of biopharmaceutical experiments – particularly biopharmaceutical clinical trials. The papers were selected from invited presentations at the Biopharmaceutical Applied Statistics Symposium (BASS), which was founded by the first Editor in 1994 and has since become the premier international conference in biopharmaceutical statistics. The primary aims of the BASS are: 1) to raise funding to support graduate students in biostatistics programs, and 2) to provide an opportunity for professionals engaged in pharmaceutical drug research and development to share insights into solving the problems they encounter. The BASS book series is initially divided into three volumes addressing: 1) Design of Clinical Trials; 2) Biostatistical Analysis of Clinical Trials; and 3) Pharmaceutical Applications. This book is the second of the 3-volume book series. The topics covered include: Statistical Approaches to the Meta-analysis of Randomized Clinical Trials, Collaborative Targeted Maximum Likelihood Estimation to Assess Causal Effects in Observational Studies, Generalized Tests in Clinical Trials, Discrete Time-to-event and Score-based Methods with Application to Composite Endpoint for Assessing Evidence of Disease Activity-Free , Imputing Missing Data Using a Surrogate Biomarker: Analyzing the Incidence of Endometrial Hyperplasia, Selected Statistical Issues in Patient-reported Outcomes, Network Meta-analysis, Detecting Safety Signals Among Adverse Events in Clinical Trials, Applied Meta-analysis Using R, Treatment of Missing Data in Comparative Effectiveness Research, Causal Estimands: A Common Language for Missing Data, Bayesian Subgroup Analysis with Examples, Statistical Methods in Diagnostic Devices, A Question-Based Approach to the Analysis of Safety Data, Analysis of Two-stage Adaptive Seamless Trial Design, and Multiplicity Problems in Clinical Trials – A Regulatory Perspective.

Strategy and Statistics in Clinical Trials

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Publisher : Academic Press
ISBN 13 : 0123869927
Total Pages : 278 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Strategy and Statistics in Clinical Trials by : Joseph Tal

Download or read book Strategy and Statistics in Clinical Trials written by Joseph Tal and published by Academic Press. This book was released on 2011-06-26 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strategy and Statistics in Clinical Trials deals with the research processes and the role of statistics in these processes. The book offers real-life case studies and provides a practical, how to guide to biomedical R&D. It describes the statistical building blocks and concepts of clinical trials and promotes effective cooperation between statisticians and important other parties. The discussion is organized around 15 chapters. After providing an overview of clinical development and statistics, the book explores questions when planning clinical trials, along with the attributes of medical products. It then explains how to set research objectives and goes on to consider statistical thinking, estimation, testing procedures, and statistical significance, explanation and prediction. The rest of the book focuses on exploratory and confirmatory clinical trials; hypothesis testing and multiplicity; elements of clinical trial design; choosing trial endpoints; and determination of sample size. This book is for all individuals engaged in clinical research who are interested in a better understanding of statistics, including professional clinical researchers, professors, physicians, and researchers in laboratory. It will also be of interest to corporate and government laboratories, clinical research nurses, members of the allied health professions, and post-doctoral and graduate students. Enables non-statisticians to better understand research processes and statistics' role in these processes Offers real-life case studies and provides a practical, "how to" guide to biomedical R&D Delineates the statistical building blocks and concepts of clinical trials Promotes effective cooperation between statisticians and important other parties

Cross-over Trials in Clinical Research

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Publisher : John Wiley & Sons
ISBN 13 : 0470854588
Total Pages : 364 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Cross-over Trials in Clinical Research by : Stephen S. Senn

Download or read book Cross-over Trials in Clinical Research written by Stephen S. Senn and published by John Wiley & Sons. This book was released on 2003-07-25 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cross-over trials are an important class of design used in the pharmaceutical industry and medical research, and their use continues to grow. Cross-over Trials in Clinical Research, Second Edition has been fully updated to include the latest methodology used in the design and analysis of cross-over trials. It includes more background material, greater coverage of important statistical techniques, including Bayesian methods, and discussion of analysis using a number of statistical software packages. * Comprehensive coverage of the design and analysis of cross-over trials. * Each technique is carefully explained and the mathematics is kept to a minimum. * Features many real and original examples, taken from the author's vast experience. * Includes discussion of analysis using SAS, S-Plus and, GenStat, StatXact and Excel. * Written in a style suitable for statisticians and physicians alike. * Computer programs to accompany the examples in the book can be downloaded from the Web Primarily aimed at statisticians and researchers working in the pharmaceutical industry, the book will also appeal to physicians involved in clinical research and students of medical statistics.

Clinical Trial Biostatistics and Biopharmaceutical Applications

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Publisher : CRC Press
ISBN 13 : 1482212188
Total Pages : 582 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Clinical Trial Biostatistics and Biopharmaceutical Applications by : Walter R. Young

Download or read book Clinical Trial Biostatistics and Biopharmaceutical Applications written by Walter R. Young and published by CRC Press. This book was released on 2014-11-20 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1945, "The Annual Deming Conference on Applied Statistics" has been an important event in the statistics profession. In Clinical Trial Biostatistics and Biopharmaceutical Applications, prominent speakers from past Deming conferences present novel biostatistical methodologies in clinical trials as well as up-to-date biostatistical applications from the pharmaceutical industry. Divided into five sections, the book begins with emerging issues in clinical trial design and analysis, including the roles of modeling and simulation, the pros and cons of randomization procedures, the design of Phase II dose-ranging trials, thorough QT/QTc clinical trials, and assay sensitivity and the constancy assumption in noninferiority trials. The second section examines adaptive designs in drug development, discusses the consequences of group-sequential and adaptive designs, and illustrates group sequential design in R. The third section focuses on oncology clinical trials, covering competing risks, escalation with overdose control (EWOC) dose finding, and interval-censored time-to-event data. In the fourth section, the book describes multiple test problems with applications to adaptive designs, graphical approaches to multiple testing, the estimation of simultaneous confidence intervals for multiple comparisons, and weighted parametric multiple testing methods. The final section discusses the statistical analysis of biomarkers from omics technologies, biomarker strategies applicable to clinical development, and the statistical evaluation of surrogate endpoints. This book clarifies important issues when designing and analyzing clinical trials, including several misunderstood and unresolved challenges. It will help readers choose the right method for their biostatistical application. Each chapter is self-contained with references.

Articles developed from the DIA Workshop on Statistical Issues in the Pharmaceutical Industry

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Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Articles developed from the DIA Workshop on Statistical Issues in the Pharmaceutical Industry by : Gary G. Koch

Download or read book Articles developed from the DIA Workshop on Statistical Issues in the Pharmaceutical Industry written by Gary G. Koch and published by . This book was released on 1991 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: