The Theory of Response-Adaptive Randomization in Clinical Trials
Aus der Reihe
Wiley Series in Probability and Statistics
Fr. 213.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
01.08.2006
Verlag
John Wiley & SonsSeitenzahl
256
Maße (L/B/H)
24/16.1/1.7 cm
Gewicht
522 g
Auflage
1. Auflage
Sprache
Englisch
ISBN
978-0-471-65396-7
Presents a firm mathematical basis for the use of response-adaptive randomization procedures in practice
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.
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.
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