The Theory Of Responseadaptive Randomization In Clinical Trials,Used

Presents a firm mathematical basis for the use of responseadaptive randomization procedures in practiceThe Theory of ResponseAdaptive Randomization in Clinical Trials is the result of the authors' tenyear collaboration as well as their collaborations with other researchers in investigating the important questions regarding responseadaptive randomization in a rigorous mathematical framework. Responseadaptive 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 responseadaptive randomization affect power? Can standard inferential tests be applied following responseadaptive 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 responseadaptive 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 responseadaptive 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 trialsUseful 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.