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Adaptive two‐treatment two‐period crossover design for binary treatment responses

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  • Uttam Bandyopadhyay
  • Atanu Biswas
  • Shirsendu Mukherjee

Abstract

Adaptive designs are sometimes used in a phase III clinical trial with the aim, of allocating a larger number of patients to the better treatment. In the present paper, we use some adaptive designs in a two‐treatment two‐period crossover design where the treatment responses are binary. We use some simple designs to choose between the possible treatment combinations AA, AB, BA or BB. The goal is to use the better treatment a larger proportion of times. We calculate the allocation proportions to the possible treatment combinations and their standard deviations. We also study related inferential problems. Related asymptotics are derived. The proposed procedure is compared with some possible competitors. Finally, we use real data to illustrate the applicability of our proposed design.

Suggested Citation

  • Uttam Bandyopadhyay & Atanu Biswas & Shirsendu Mukherjee, 2007. "Adaptive two‐treatment two‐period crossover design for binary treatment responses," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 61(3), pages 329-344, August.
    • Handle: RePEc:bla:stanee:v:61:y:2007:i:3:p:329-344
    DOI: 10.1111/j.1467-9574.2007.00360.x
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    Cited by:

    1. Uttam Bandyopadhyay & Joydeep Basu & Ganesh Dutta, 2015. "Crossover design in clinical trials for binary response," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(10), pages 2100-2114, October.
    2. Suryasish Chatterjee & Uttam Bandyopadhyay, 2017. "Three-period, two-treatment crossover design under long-term carryover effect," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 71(4), pages 263-285, November.

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