Allocation of Treatments

  • David Siegmund
Part of the Springer Series in Statistics book series (SSS)


In comparative studies generally and especially in clinical trials the allocation of treatments and the appropriate use of randomization are particularly important. The present chapter discusses three related aspects of this general subject, in the simple context of the comparison of two treatments. Section 1 is concerned with sequential two population randomization tests when allocation is at random. Section 2 gives a very brief introduction to the notion of biased randomization to force balancing in small experiments. Sections 3–5 involve the adaptive allocation of treatments during the course of experimentation in such a way that the less desirable treatment is used a minimum number of times. A central result is Theorem 6.20.


Allocation Scheme Randomization Test Treatment Assignment Allocation Rule Likelihood Ratio Statistic 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • David Siegmund
    • 1
  1. 1.Department of StatisticsStanford UniversityStanfordUSA

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