The Theory of Response-Adaptive Randomization in Clinical Trials
By Feifang Hu and William F. Rosenberger
()
About this ebook
The Theory of Response-Adaptive Randomization in Clinical Trials is the result of the authors' ten-year collaboration as well as their collaborations with other researchers in investigating the important questions regarding response-adaptive randomization in a rigorous mathematical framework. Response-adaptive allocation has a long history in biostatistics literature; however, largely due to the disastrous ECMO trial in the early 1980s, there is a general reluctance to use these procedures.
This timely book represents a mathematically rigorous subdiscipline of experimental design involving randomization and answers fundamental questions, including:
- How does response-adaptive randomization affect power?
- Can standard inferential tests be applied following response-adaptive randomization?
- What is the effect of delayed response?
- Which procedure is most appropriate and how can "most appropriate" be quantified?
- How can heterogeneity of the patient population be incorporated?
- Can response-adaptive randomization be performed with more than two treatments or with continuous responses?
The answers to these questions communicate a thorough understanding of the asymptotic properties of each procedure discussed, including asymptotic normality, consistency, and asymptotic variance of the induced allocation. Topical coverage includes:
- The relationship between power and response-adaptive randomization
- The general result for determining asymptotically best procedures
- Procedures based on urn models
- Procedures based on sequential estimation
- Implications for the practice of clinical trials
Useful for graduate students in mathematics, statistics, and biostatistics as well as researchers and industrial and academic biostatisticians, this book offers a rigorous treatment of the subject in order to find the optimal procedure to use in practice.
Related to The Theory of Response-Adaptive Randomization in Clinical Trials
Titles in the series (100)
Fundamental Statistical Inference: A Computational Approach Rating: 0 out of 5 stars0 ratingsSensitivity Analysis in Linear Regression Rating: 0 out of 5 stars0 ratingsMultiple Imputation for Nonresponse in Surveys Rating: 2 out of 5 stars2/5Nonlinear Statistical Models Rating: 0 out of 5 stars0 ratingsComputation for the Analysis of Designed Experiments Rating: 0 out of 5 stars0 ratingsApplications of Statistics to Industrial Experimentation Rating: 3 out of 5 stars3/5Statistics and Causality: Methods for Applied Empirical Research Rating: 0 out of 5 stars0 ratingsProbability and Conditional Expectation: Fundamentals for the Empirical Sciences Rating: 0 out of 5 stars0 ratingsAspects of Multivariate Statistical Theory Rating: 0 out of 5 stars0 ratingsLinear Statistical Inference and its Applications Rating: 0 out of 5 stars0 ratingsRobust Correlation: Theory and Applications Rating: 0 out of 5 stars0 ratingsNonparametric Finance Rating: 0 out of 5 stars0 ratingsMeasuring Agreement: Models, Methods, and Applications Rating: 0 out of 5 stars0 ratingsTheory of Probability: A critical introductory treatment Rating: 0 out of 5 stars0 ratingsA Course in Time Series Analysis Rating: 3 out of 5 stars3/5The Statistical Analysis of Failure Time Data Rating: 0 out of 5 stars0 ratingsAnalyzing Microarray Gene Expression Data Rating: 5 out of 5 stars5/5Theory of Ridge Regression Estimation with Applications Rating: 0 out of 5 stars0 ratingsMeasurement Errors in Surveys Rating: 0 out of 5 stars0 ratingsForecasting with Univariate Box - Jenkins Models: Concepts and Cases Rating: 0 out of 5 stars0 ratingsTime Series Analysis: Nonstationary and Noninvertible Distribution Theory Rating: 0 out of 5 stars0 ratingsPeriodically Correlated Random Sequences: Spectral Theory and Practice Rating: 0 out of 5 stars0 ratingsExploratory Data Mining and Data Cleaning Rating: 2 out of 5 stars2/5Modern Experimental Design Rating: 0 out of 5 stars0 ratingsFractal-Based Point Processes Rating: 4 out of 5 stars4/5Sequential Stochastic Optimization Rating: 0 out of 5 stars0 ratingsExperiments with Mixtures: Designs, Models, and the Analysis of Mixture Data Rating: 5 out of 5 stars5/5An Introduction to Envelopes: Dimension Reduction for Efficient Estimation in Multivariate Statistics Rating: 0 out of 5 stars0 ratingsTime Series Analysis with Long Memory in View Rating: 0 out of 5 stars0 ratingsLinear Regression Analysis Rating: 3 out of 5 stars3/5
Related ebooks
Periodically Correlated Random Sequences: Spectral Theory and Practice Rating: 0 out of 5 stars0 ratingsLong-Memory Time Series: Theory and Methods Rating: 0 out of 5 stars0 ratingsLinear Statistical Inference and its Applications Rating: 0 out of 5 stars0 ratingsLinear Regression Analysis Rating: 3 out of 5 stars3/5Molecular and Cellular Therapeutics Rating: 0 out of 5 stars0 ratingsSubjective and Objective Bayesian Statistics: Principles, Models, and Applications Rating: 0 out of 5 stars0 ratingsStatistical Modeling by Wavelets Rating: 0 out of 5 stars0 ratingsAnalysis of Biological Networks Rating: 0 out of 5 stars0 ratingsAnalysis of Ordinal Categorical Data Rating: 4 out of 5 stars4/5Anatomy & Physiology Terms Greek&Latin ROOTS DECODED! Vol.7: Neurology Terms Rating: 0 out of 5 stars0 ratingsTheories of Population Variation in Genes and Genomes Rating: 0 out of 5 stars0 ratingsThe Evolution of Genetics Rating: 0 out of 5 stars0 ratingsMultiple Biological Sequence Alignment: Scoring Functions, Algorithms and Evaluation Rating: 0 out of 5 stars0 ratingsRobustness of Statistical Tests Rating: 0 out of 5 stars0 ratingsSelectors Rating: 0 out of 5 stars0 ratingsDrugs: From Discovery to Approval Rating: 0 out of 5 stars0 ratingsStatistical hypothesis testing Second Edition Rating: 0 out of 5 stars0 ratingsDarwinism (1889) An exposition of the theory of natural selection, with some of its applications Rating: 0 out of 5 stars0 ratingsRuin Probabilities: Smoothness, Bounds, Supermartingale Approach Rating: 0 out of 5 stars0 ratingsBiochemical Pathways: An Atlas of Biochemistry and Molecular Biology Rating: 0 out of 5 stars0 ratingsThe Descent of Man Rating: 0 out of 5 stars0 ratingsOcean Acidity Climate Shock: Science Fallen and Risen and the Art of Magic Investment Rating: 0 out of 5 stars0 ratingsPredictive Approaches in Drug Discovery and Development: Biomarkers and In Vitro / In Vivo Correlations Rating: 0 out of 5 stars0 ratingsSperm Competition and the Evolution of Animal Mating systems Rating: 0 out of 5 stars0 ratingsA Mathematical Theory of Evidence Rating: 4 out of 5 stars4/5Systems Biology in Drug Discovery and Development Rating: 0 out of 5 stars0 ratingsThe Genetics Of Altruism Rating: 0 out of 5 stars0 ratingsFoundations of Social Evolution Rating: 4 out of 5 stars4/5Basic Concepts of Probability and Statistics in the Law Rating: 4 out of 5 stars4/5
Mathematics For You
Geometry For Dummies Rating: 5 out of 5 stars5/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Painless Geometry Rating: 4 out of 5 stars4/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Linear Algebra For Dummies Rating: 3 out of 5 stars3/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsThe Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5Mathematics, Magic and Mystery Rating: 4 out of 5 stars4/5Limitless Mind: Learn, Lead, and Live Without Barriers Rating: 4 out of 5 stars4/5Algebra I For Dummies Rating: 4 out of 5 stars4/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5Must Know High School Algebra, Second Edition Rating: 0 out of 5 stars0 ratingsGame Theory: A Simple Introduction Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5
Reviews for The Theory of Response-Adaptive Randomization in Clinical Trials
0 ratings0 reviews