Exact group sequential designs for two-arm experiments with Poisson distributed outcome variables
Communications in Statistics - Theory and Methods
Taylor & Francis
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Grayling, M., Wason, J., & Mander, A. (2019). Exact group sequential designs for two-arm experiments with Poisson distributed outcome variables. Communications in Statistics - Theory and Methods https://doi.org/10.1080/03610926.2019.1628273
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.
This work was supported by the Medical Research Council under Grant MC_UU_00002/3 to M.J.G. and A.P.M., and Grant MC_UU_00002/6 to J.M.S.W.
External DOI: https://doi.org/10.1080/03610926.2019.1628273
This record's URL: https://www.repository.cam.ac.uk/handle/1810/294377
Attribution 4.0 International
Licence URL: https://creativecommons.org/licenses/by/4.0/