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Optimized Response-Adaptive Clinical Trials

Sequential Treatment Allocation Based on Markov Decision Problems

  • ThomasĀ Ondra

Part of the BestMasters book series (BEST)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Thomas Ondra
    Pages 19-37
  3. Back Matter
    Pages 95-102

About this book

Introduction

Two-armed response-adaptive clinical trials are modelled as Markov decision problems to pursue two overriding objectives: Firstly, to identify the superior treatment at the end of the trial and, secondly, to keep the number of patients receiving the inferior treatment small. Such clinical trial designs are very important, especially for rare diseases. Thomas Ondra presents the main solution techniques for Markov decision problems and provides a detailed description how to obtain optimal allocation sequences.

Contents

  • Introduction to Markov Decision Problems and Examples
  • Finite and Infinite Horizon Markov Decision Problems
  • Solution Algorithms: Backward Induction, Value Iteration and Policy Iteration
  • Designing Response Adaptive Clinical Trials with Markov Decision Problems

Target Groups

  • Researchers and students in the fields of mathematics and statistics
  • Professionals in the pharmaceutical industry<

The Author

Thomas Ondra obtained his Master of Science degree in mathematics at University of Vienna. He is a research assistant and PhD student at the Section for Medical Statistics of Medical University of Vienna.

 

Keywords

Allocation Sequence Backward Induction Clinical Trial Designs Policy Iteration Value Iteration

Authors and affiliations

  • ThomasĀ Ondra
    • 1
  1. 1.Medical University of ViennaViennaAustria

Bibliographic information