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Exact tests of the superiority under the Poisson distribution

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  • Liu, MingTe
  • Hsueh, Huey-Miin

Abstract

We propose two exact p-values of two commonly-used test statistics for testing the superiority under Poisson populations. We show that, the computationally-intensive confidence-set p-value involves at most a supremum search over a closed interval of a single argument. On the other hand, the estimated p-value has adequate performances empirically.

Suggested Citation

  • Liu, MingTe & Hsueh, Huey-Miin, 2013. "Exact tests of the superiority under the Poisson distribution," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1339-1345.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:5:p:1339-1345
    DOI: 10.1016/j.spl.2013.01.030
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    References listed on IDEAS

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    1. Ng, H.K.T. & Gu, K. & Tang, M.L., 2007. "A comparative study of tests for the difference of two Poisson means," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 3085-3099, March.
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    Cited by:

    1. Shan, Guogen, 2014. "Exact approaches for testing non-inferiority or superiority of two incidence rates," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 129-134.
    2. Guogen Shan, 2016. "Exact sample size determination for the ratio of two incidence rates under the Poisson distribution," Computational Statistics, Springer, vol. 31(4), pages 1633-1644, December.

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