Adaptive Design Methods in Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1439839883
Total Pages : 368 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Adaptive Design Methods in Clinical Trials by : Shein-Chung Chow

Download or read book Adaptive Design Methods in Clinical Trials written by Shein-Chung Chow and published by CRC Press. This book was released on 2011-12-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: With new statistical and scientific issues arising in adaptive clinical trial design, including the U.S. FDA's recent draft guidance, a new edition of one of the first books on the topic is needed. Adaptive Design Methods in Clinical Trials, Second Edition reflects recent developments and regulatory positions on the use of adaptive designs in clini

Small Clinical Trials

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Publisher : National Academies Press
ISBN 13 : 0309171148
Total Pages : 221 pages
Book Rating : 4.3/5 (91 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 221 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.

Bayesian Designs for Phase I-II Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1315354225
Total Pages : 238 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Bayesian Designs for Phase I-II Clinical Trials by : Ying Yuan

Download or read book Bayesian Designs for Phase I-II Clinical Trials written by Ying Yuan and published by CRC Press. This book was released on 2017-12-19 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliably optimizing a new treatment in humans is a critical first step in clinical evaluation since choosing a suboptimal dose or schedule may lead to failure in later trials. At the same time, if promising preclinical results do not translate into a real treatment advance, it is important to determine this quickly and terminate the clinical evaluation process to avoid wasting resources. Bayesian Designs for Phase I–II Clinical Trials describes how phase I–II designs can serve as a bridge or protective barrier between preclinical studies and large confirmatory clinical trials. It illustrates many of the severe drawbacks with conventional methods used for early-phase clinical trials and presents numerous Bayesian designs for human clinical trials of new experimental treatment regimes. Written by research leaders from the University of Texas MD Anderson Cancer Center, this book shows how Bayesian designs for early-phase clinical trials can explore, refine, and optimize new experimental treatments. It emphasizes the importance of basing decisions on both efficacy and toxicity.

Vital Directions for Health & Health Care

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Publisher :
ISBN 13 : 9781947103009
Total Pages : 471 pages
Book Rating : 4.1/5 (3 download)

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Book Synopsis Vital Directions for Health & Health Care by : Victor J. Dzau

Download or read book Vital Directions for Health & Health Care written by Victor J. Dzau and published by . This book was released on 2018-01-18 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: What can be more vital to each of us than our health? Yet, despite unprecedented health care spending, the U.S. health system is substantially underperforming, especially with respect to what should be possible, given current knowledge. Although the United States is currently devoting 18% of its Gross Domestic Product to delivering medical care¿more than $3 trillion annually and nearly double the expenditure of other advanced industrialized countries¿the U.S. health system ranked only 37th in performance in a World Health Organization assessment of member nations. In Vital Directions for Health & Health Care: An Initiative of the National Academy of Medicine, the U.S. National Academy of Medicine (NAM, formerly the Institute of Medicine), which has long stood as the nation¿s most trusted independent source of guidance in health, health care, and biomedical science, has marshaled the wisdom of more than 150 of the nation¿s best researchers and health policy experts to assess opportunities for substantially improving the health and well-being of Americans, the quality of care delivered, and the contributions of science and technology. This publication identifies practical and affordable steps that can and must be taken across eight action and infrastructure priorities, ranging from paying for value and connecting care, to measuring what matters most and accelerating the capture of real-world evidence. Without obscuring the difficulty of the changes needed, in Vital Directions, the NAM offers an important blueprint and resource for health, policy, and leaders at all levels to achieve much better health outcomes at much lower cost.

Bayesian Adaptive Methods for Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1439825513
Total Pages : 316 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Bayesian Adaptive Methods for Clinical Trials by : Scott M. Berry

Download or read book Bayesian Adaptive Methods for Clinical Trials written by Scott M. Berry and published by CRC Press. This book was released on 2010-07-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already popular in the analysis of medical device trials, adaptive Bayesian designs are increasingly being used in drug development for a wide variety of diseases and conditions, from Alzheimer's disease and multiple sclerosis to obesity, diabetes, hepatitis C, and HIV. Written by leading pioneers of Bayesian clinical trial designs, Bayesian Adapti

Oncology Clinical Trials

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Publisher : Springer Publishing Company
ISBN 13 : 0826168736
Total Pages : 568 pages
Book Rating : 4.8/5 (261 download)

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Book Synopsis Oncology Clinical Trials by : William Kevin Kelly, DO

Download or read book Oncology Clinical Trials written by William Kevin Kelly, DO and published by Springer Publishing Company. This book was released on 2018-03-28 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Oncology Clinical Trials has been thoroughly revised and updated and now contains the latest designs and methods of conducting and analyzing cancer clinical trials in the era of precision medicine with biologic agents—including trials investigating the safety and efficacy of targeted therapies, immunotherapies, and combination therapies as well as novel radiation therapy modalities. Now divided into six sections this revamped book provides the necessary background and expert guidance from the principles governing oncology clinical trials to the innovative statistical design methods permeating the field; from conducting trials in a safe and effective manner, analyzing and interpreting the data, to a forward-looking assessment and discussion of regulatory issues impacting domestic, international, and global clinical trials. Considered by many as the gold standard reference on oncology clinical trials in the field, the second edition continues to provide examples of real-life flaws and real-world examples for how to successfully design, conduct and analyze quality clinical trials and interpret them. With chapters written by oncologists, researchers, biostatisticians, clinical research administrators, and industry and FDA representatives, this volume provides a comprehensive guide in the design, conduct, monitoring, analysis, and reporting of clinical trials in oncology. NEW TO THIS EDITION: Outlines how to design clinical trials with and without biomarker testing—including genomics-based “basket” trials, and adaptive trials for all phases during treatment and quality-of-life trials Includes new chapters on immunotherapy trials, radiation therapy trials, multi-arm trials, meta-analysis and adaptive design, use of genomics, dose modifications and use of ancillary treatments in investigational studies, establishing surrogate endpoints, practical issues with correlative studies, cost-effectiveness analysis, and more Comprehensively covers all regulatory aspects in the pursuit of global oncology trials Digital access to the ebook included

Randomization in Clinical Trials

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Publisher : John Wiley & Sons
ISBN 13 : 1118742249
Total Pages : 284 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Randomization in Clinical Trials by : William F. Rosenberger

Download or read book Randomization in Clinical Trials written by William F. Rosenberger and published by John Wiley & Sons. This book was released on 2015-11-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition “All medical statisticians involved in clinical trials should read this book...” - Controlled Clinical Trials Featuring a unique combination of the applied aspects of randomization in clinical trials with a nonparametric approach to inference, Randomization in Clinical Trials: Theory and Practice, Second Edition is the go-to guide for biostatisticians and pharmaceutical industry statisticians. Randomization in Clinical Trials: Theory and Practice, Second Edition features: Discussions on current philosophies, controversies, and new developments in the increasingly important role of randomization techniques in clinical trials A new chapter on covariate-adaptive randomization, including minimization techniques and inference New developments in restricted randomization and an increased focus on computation of randomization tests as opposed to the asymptotic theory of randomization tests Plenty of problem sets, theoretical exercises, and short computer simulations using SAS® to facilitate classroom teaching, simplify the mathematics, and ease readers’ understanding Randomization in Clinical Trials: Theory and Practice, Second Edition is an excellent reference for researchers as well as applied statisticians and biostatisticians. The Second Edition is also an ideal textbook for upper-undergraduate and graduate-level courses in biostatistics and applied statistics. William F. Rosenberger, PhD, is University Professor and Chairman of the Department of Statistics at George Mason University. He is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics, and author of over 80 refereed journal articles, as well as The Theory of Response-Adaptive Randomization in Clinical Trials, also published by Wiley. John M. Lachin, ScD, is Research Professor in the Department of Epidemiology and Biostatistics as well as in the Department of Statistics at The George Washington University. A Fellow of the American Statistical Association and the Society for Clinical Trials, Dr. Lachin is actively involved in coordinating center activities for clinical trials of diabetes. He is the author of Biostatistical Methods: The Assessment of Relative Risks, Second Edition, also published by Wiley.

Clinical Trials in Oncology, Third Edition

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Publisher : CRC Press
ISBN 13 : 1439814481
Total Pages : 266 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Clinical Trials in Oncology, Third Edition by : Stephanie Green

Download or read book Clinical Trials in Oncology, Third Edition written by Stephanie Green and published by CRC Press. This book was released on 2012-05-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of the bestselling Clinical Trials in Oncology provides a concise, nontechnical, and thoroughly up-to-date review of methods and issues related to cancer clinical trials. The authors emphasize the importance of proper study design, analysis, and data management and identify the pitfalls inherent in these processes. In addition, the book has been restructured to have separate chapters and expanded discussions on general clinical trials issues, and issues specific to Phases I, II, and III. New sections cover innovations in Phase I designs, randomized Phase II designs, and overcoming the challenges of array data. Although this book focuses on cancer trials, the same issues and concepts are important in any clinical setting. As always, the authors use clear, lucid prose and a multitude of real-world examples to convey the principles of successful trials without the need for a strong statistics or mathematics background. Armed with Clinical Trials in Oncology, Third Edition, clinicians and statisticians can avoid the many hazards that can jeopardize the success of a trial.

Phase I Cancer Clinical Trials

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Publisher : Oxford University Press, USA
ISBN 13 : 0199359016
Total Pages : 369 pages
Book Rating : 4.1/5 (993 download)

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Book Synopsis Phase I Cancer Clinical Trials by : Elizabeth A. Eisenhauer

Download or read book Phase I Cancer Clinical Trials written by Elizabeth A. Eisenhauer and published by Oxford University Press, USA. This book was released on 2014-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase I trials are a critical first step in the study of novel cancer therapeutic approaches. As this title is the only comprehensive book on this topic, it is a useful resource for oncology trainees or specialists interested in understanding cancer drug development. New to this edition are chapters on Phase 0 Trials and Immunotherapeutics, and updated information on the process, pitfalls, and logistics of Phase I Trials.

Practical Considerations for Adaptive Trial Design and Implementation

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Publisher : Springer
ISBN 13 : 1493911007
Total Pages : 420 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Practical Considerations for Adaptive Trial Design and Implementation by : Weili He

Download or read book Practical Considerations for Adaptive Trial Design and Implementation written by Weili He and published by Springer. This book was released on 2014-10-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume is a definitive text on adaptive clinical trial designs from creation and customization to utilization. As this book covers the full spectrum of topics involved in the adaptive designs arena, it will serve as a valuable reference for researchers working in industry, government and academia. The target audience is anyone involved in the planning and execution of clinical trials, in particular, statisticians, clinicians, pharmacometricians, clinical operation specialists, drug supply managers, and infrastructure providers. In spite of the increased efficiency of adaptive trials in saving costs and time, ultimately getting drugs to patients sooner, their adoption in clinical development is still relatively low. One of the chief reasons is the higher complexity of adaptive design trials as compared to traditional trials. Barriers to the use of clinical trials with adaptive features include the concerns about the integrity of study design and conduct, the risk of regulatory non-acceptance, the need for an advanced infrastructure for complex randomization and clinical supply scenarios, change management for process and behavior modifications, extensive resource requirements for the planning and design of adaptive trials and the potential to relegate key decision makings to outside entities. There have been limited publications that address these practical considerations and recommend best practices and solutions. This book fills this publication gap, providing guidance on practical considerations for adaptive trial design and implementation. The book comprises three parts: Part I focuses on practical considerations from a design perspective, whereas Part II delineates practical considerations related to the implementation of adaptive trials. Putting it all together, Part III presents four illustrative case studies ranging from description and discussion of specific adaptive trial design considerations to the logistic and regulatory issues faced in trial implementation. Bringing together the expertise of leading key opinion leaders from pharmaceutical industry, academia, and regulatory agencies, this book provides a balanced and comprehensive coverage of practical considerations for adaptive trial design and implementation.

Modern Approaches to Clinical Trials Using SAS

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Publisher : SAS Institute
ISBN 13 : 1629600822
Total Pages : 496 pages
Book Rating : 4.6/5 (296 download)

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Book Synopsis Modern Approaches to Clinical Trials Using SAS by : Sandeep Menon

Download or read book Modern Approaches to Clinical Trials Using SAS written by Sandeep Menon and published by SAS Institute. This book was released on 2015-12-09 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Get the tools you need to use SAS® in clinical trial design! Unique and multifaceted, Modern Approaches to Clinical Trials Using SAS: Classical, Adaptive, and Bayesian Methods, edited by Sandeep M. Menon and Richard C. Zink, thoroughly covers several domains of modern clinical trial design: classical, group sequential, adaptive, and Bayesian methods that are applicable to and widely used in various phases of pharmaceutical development. Written for biostatisticians, pharmacometricians, clinical developers, and statistical programmers involved in the design, analysis, and interpretation of clinical trials, as well as students in graduate and postgraduate programs in statistics or biostatistics, the book touches on a wide variety of topics, including dose-response and dose-escalation designs; sequential methods to stop trials early for overwhelming efficacy, safety, or futility; Bayesian designs that incorporate historical data; adaptive sample size re-estimation; adaptive randomization to allocate subjects to more effective treatments; and population enrichment designs. Methods are illustrated using clinical trials from diverse therapeutic areas, including dermatology, endocrinology, infectious disease, neurology, oncology, and rheumatology. Individual chapters are authored by renowned contributors, experts, and key opinion leaders from the pharmaceutical/medical device industry or academia. Numerous real-world examples and sample SAS code enable users to readily apply novel clinical trial design and analysis methodologies in practice.

Principles and Practice of Clinical Trials

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Publisher : Springer Nature
ISBN 13 : 3319526367
Total Pages : 2573 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Principles and Practice of Clinical Trials by : Steven Piantadosi

Download or read book Principles and Practice of Clinical Trials written by Steven Piantadosi and published by Springer Nature. This book was released on 2022-07-19 with total page 2573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive major reference work for our SpringerReference program covering clinical trials. Although the core of the Work will focus on the design, analysis, and interpretation of scientific data from clinical trials, a broad spectrum of clinical trial application areas will be covered in detail. This is an important time to develop such a Work, as drug safety and efficacy emphasizes the Clinical Trials process. Because of an immense and growing international disease burden, pharmaceutical and biotechnology companies continue to develop new drugs. Clinical trials have also become extremely globalized in the past 15 years, with over 225,000 international trials ongoing at this point in time. Principles in Practice of Clinical Trials is truly an interdisciplinary that will be divided into the following areas: 1) Clinical Trials Basic Perspectives 2) Regulation and Oversight 3) Basic Trial Designs 4) Advanced Trial Designs 5) Analysis 6) Trial Publication 7) Topics Related Specific Populations and Legal Aspects of Clinical Trials The Work is designed to be comprised of 175 chapters and approximately 2500 pages. The Work will be oriented like many of our SpringerReference Handbooks, presenting detailed and comprehensive expository chapters on broad subjects. The Editors are major figures in the field of clinical trials, and both have written textbooks on the topic. There will also be a slate of 7-8 renowned associate editors that will edit individual sections of the Reference.

Handbook of Adaptive Designs in Pharmaceutical and Clinical Development

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Publisher : CRC Press
ISBN 13 : 1439810176
Total Pages : 475 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Adaptive Designs in Pharmaceutical and Clinical Development by : Annpey Pong

Download or read book Handbook of Adaptive Designs in Pharmaceutical and Clinical Development written by Annpey Pong and published by CRC Press. This book was released on 2016-04-19 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to the US FDA's Critical Path Initiative, innovative adaptive designs are being used more and more in clinical trials due to their flexibility and efficiency, especially during early phase development. Handbook of Adaptive Designs in Pharmaceutical and Clinical Development provides a comprehensive and unified presentation of the princip

Fundamental Concepts for New Clinical Trialists

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Publisher : CRC Press
ISBN 13 : 1498767109
Total Pages : 352 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Fundamental Concepts for New Clinical Trialists by : Scott Evans

Download or read book Fundamental Concepts for New Clinical Trialists written by Scott Evans and published by CRC Press. This book was released on 2015-11-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Concepts for New Clinical Trialists describes the core scientific concepts of designing, data monitoring, analyzing, and reporting clinical trials as well as the practical aspects of trials not typically discussed in statistical methodology textbooks. The first section of the book provides background information about clinical trials. I

Dose Finding by the Continual Reassessment Method

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Publisher : CRC Press
ISBN 13 : 1420091514
Total Pages : 207 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Dose Finding by the Continual Reassessment Method by : Ying Kuen Cheung

Download or read book Dose Finding by the Continual Reassessment Method written by Ying Kuen Cheung and published by CRC Press. This book was released on 2011-03-29 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: As clinicians begin to realize the important role of dose-finding in the drug development process, there is an increasing openness to "novel" methods proposed in the past two decades. In particular, the Continual Reassessment Method (CRM) and its variations have drawn much attention in the medical community, though it has yet to become a commonplace tool. To overcome the status quo in phase I clinical trials, statisticians must be able to design trials using the CRM in a timely and reproducible manner. A self-contained theoretical framework of the CRM for researchers and graduate students who set out to learn and do research in the CRM and dose-finding methods in general, Dose Finding by the Continual Reassessment Method features: Real clinical trial examples that illustrate the methods and techniques throughout the book Detailed calibration techniques that enable biostatisticians to design a CRM in timely manner Limitations of the CRM are outlined to aid in correct use of method This book supplies practical, efficient dose-finding methods based on cutting edge statistical research. More than just a cookbook, it provides full, unified coverage of the CRM in addition to step-by-step guidelines to automation and parameterization of the methods used on a regular basis. A detailed exposition of the calibration of the CRM for applied statisticians working with dose-finding in phase I trials, the book focuses on the R package ‘dfcrm’ for the CRM and its major variants. The author recognizes clinicians’ skepticism of model-based designs, and addresses their concerns that the time, professional, and computational resources necessary for accurate model-based designs can be major bottlenecks to the widespread use of appropriate dose-finding methods in phase I practice. The theoretically- and empirically-based methods in Dose Finding by the Continual Reassessment Method will lessen the statistician’s burden and encourage the continuing development and implementation of model-based dose-finding methods.

Dose-Finding Designs for Early-Phase Cancer Clinical Trials

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Author :
Publisher : Springer
ISBN 13 : 4431555854
Total Pages : 146 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Dose-Finding Designs for Early-Phase Cancer Clinical Trials by : Takashi Daimon

Download or read book Dose-Finding Designs for Early-Phase Cancer Clinical Trials written by Takashi Daimon and published by Springer. This book was released on 2019-05-21 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to statistical methods for designing early phase dose-finding clinical trials. It will serve as a textbook or handbook for graduate students and practitioners in biostatistics and clinical investigators who are involved in designing, conducting, monitoring, and analyzing dose-finding trials. The book will also provide an overview of advanced topics and discussions in this field for the benefit of researchers in biostatistics and statistical science. Beginning with backgrounds and fundamental notions on dose finding in early phase clinical trials, the book then provides traditional and recent dose-finding designs of phase I trials for, e.g., cytotoxic agents in oncology, to evaluate toxicity outcome. Included are rule-based and model-based designs, such as 3 + 3 designs, accelerated titration designs, toxicity probability interval designs, continual reassessment method and related designs, and escalation overdose control designs. This book also covers more complex and updated dose-finding designs of phase I-II and I/II trials for cytotoxic agents, and cytostatic agents, focusing on both toxicity and efficacy outcomes, such as designs with covariates and drug combinations, maximum tolerated dose-schedule finding designs, and so on.

The Prevention and Treatment of Missing Data in Clinical Trials

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Author :
Publisher : National Academies Press
ISBN 13 : 030918651X
Total Pages : 163 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Prevention and Treatment of Missing Data in Clinical Trials by : National Research Council

Download or read book The Prevention and Treatment of Missing Data in Clinical Trials written by National Research Council and published by National Academies Press. This book was released on 2010-12-21 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomized clinical trials are the primary tool for evaluating new medical interventions. Randomization provides for a fair comparison between treatment and control groups, balancing out, on average, distributions of known and unknown factors among the participants. Unfortunately, these studies often lack a substantial percentage of data. This missing data reduces the benefit provided by the randomization and introduces potential biases in the comparison of the treatment groups. Missing data can arise for a variety of reasons, including the inability or unwillingness of participants to meet appointments for evaluation. And in some studies, some or all of data collection ceases when participants discontinue study treatment. Existing guidelines for the design and conduct of clinical trials, and the analysis of the resulting data, provide only limited advice on how to handle missing data. Thus, approaches to the analysis of data with an appreciable amount of missing values tend to be ad hoc and variable. The Prevention and Treatment of Missing Data in Clinical Trials concludes that a more principled approach to design and analysis in the presence of missing data is both needed and possible. Such an approach needs to focus on two critical elements: (1) careful design and conduct to limit the amount and impact of missing data and (2) analysis that makes full use of information on all randomized participants and is based on careful attention to the assumptions about the nature of the missing data underlying estimates of treatment effects. In addition to the highest priority recommendations, the book offers more detailed recommendations on the conduct of clinical trials and techniques for analysis of trial data.