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Experiment Size and Power Comparisons for Two‐Sample Poisson Tests

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  • Wei‐Kei Shiue
  • Lee J. Bain

Abstract

The uniformly most powerful test and an approximate test of equality of the failure intensities of two Poisson processes are studied. An approximately normally distributed test statistic is generalized to apply when the experiment is conducted over unequal time intervals (or sample sizes) from the two populations. The significance level and power of this test is compared to the uniformly most powerful exact fixed length test. An approximate formula is provided for determining the experiment length needed to achieve a specified power for both the equal and unequal interval cases. Numerical comparisons show that the approximation is useful over a wide range of specified values for either the exact or the approximate test.

Suggested Citation

  • Wei‐Kei Shiue & Lee J. Bain, 1982. "Experiment Size and Power Comparisons for Two‐Sample Poisson Tests," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(2), pages 130-134, June.
    • Handle: RePEc:bla:jorssc:v:31:y:1982:i:2:p:130-134
    DOI: 10.2307/2347975
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    Cited by:

    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.
    2. Michael P Lake & Louis-S Bouchard, 2017. "Targeted nanodiamonds for identification of subcellular protein assemblies in mammalian cells," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-18, June.
    3. James Stamey & Dean Young & Tom Bratcher, 2006. "Bayesian sample-size determination for one and two Poisson rate parameters with applications to quality control," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 583-594.
    4. Jang, Kitae & Chung, Koohong & Ragland, David R & Chan, Ching-Yao, 2009. "Safety Performance of High-Occupancy Vehicle (HOV) Facilities: Evaluation of HOV Lane Configurations in California," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1cm7z3rd, Institute of Transportation Studies, UC Berkeley.

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