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The Theory of Response-Adaptive Randomization in Clinical Trials
by Feifang Hu

The Theory of Response-Adaptive Randomization in Clinical Trials represents a mathematically rigorous subdiscipline of experimental design involving randomization and answers fundamental questions.

Features:

  • 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

Contents

Fundamental Questions of response-Adaptive Randomization

  • Optimal allocation
  • The realtionship between power and response-adaptive randomization
  • The relationship for K > 2 treatments
  • Asymptotically best procedures

Likelihood-based Inference

  • Data structure and Likelihood
  • Asymptotic properties of maximum likelihood estimators

Procedures Based on Urn Models

  • Generalized Friedman's urn
  • The class of ternary urn models

Procedures Based on Sequential Estimation

  • Properties of procedures based on sequential estimation for K = 2
  • Notation and conditions for the general framework
  • Asymptotic results and some examples
  • Proving the main theorems

Sample Size Calculation

  • Power of a randomization procedure
  • Three types of sample size

Additional Considerations

  • The effect of delayed response
  • Continuous responses
  • Multiple (K > 2) treatments
  • Accommodating heterogeneity

Implications for the Practice of Clinical Trials

  • Standards
  • Binary response
  • Continuous responses
  • The effect of delayed response

Incorporating Covariates

  • General framework and asymptotic results
  • Generalized linear models
  • Two treatments with binary responses

Index

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The Theory of Response-Adaptive Randomization in Clinical Trials
by Feifang Hu
2006 232 pages $100.95 + shipping
Texas residents please add 6.75 % sales tax

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