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Exact group sequential designs for two-arm experiments with Poisson distributed outcome variables

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  • Michael J. Grayling
  • James M. S. Wason
  • Adrian P. Mander

Abstract

We describe and compare two methods for the group sequential design of two-arm experiments with Poisson distributed data, which are based on a normal approximation and exact calculations respectively. A framework to determine near-optimal stopping boundaries is also presented. Using this framework, for a considered example, we demonstrate that a group sequential design could reduce the expected sample size under the null hypothesis by as much as 44% compared to a fixed sample approach. We conclude with a discussion of the advantages and disadvantages of the two presented procedures.

Suggested Citation

  • Michael J. Grayling & James M. S. Wason & Adrian P. Mander, 2021. "Exact group sequential designs for two-arm experiments with Poisson distributed outcome variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(1), pages 18-34, January.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:1:p:18-34
    DOI: 10.1080/03610926.2019.1628273
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