An urn model to construct an efficient test procedure for response adaptive designs

Andrea Ghiglietti, Anna Maria Paganoni

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We study the statistical performance of different tests for comparing the mean effect of two treatments. Given a reference classical test T0, we determine which sample size and proportion allocation guarantee to a test T, based on response-adaptive design, to be better than T0, in terms of (a) higher power and (b) fewer subjects assigned to the inferior treatment. The adoption of a response-adaptive design to implement the random allocation procedure is necessary to ensure that both (a) and (b) are satisfied. In particular, we propose to use a Modified Randomly Reinforced Urn design and we show how to perform the model parameters selection for the purpose of this paper. Then, the opportunity of relaxing some assumptions on treatment response distributions is presented. Results of simulation studies on the test performance are reported and a real case study is analyzed.
Original languageEnglish
Pages (from-to)211-226
Number of pages16
JournalSTATISTICAL METHODS & APPLICATIONS
Volume25
DOIs
Publication statusPublished - 2016
Externally publishedYes

Keywords

  • clinical trials
  • randomly reinforced urns
  • response adaptive designs
  • tests based on adaptive procedures

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