IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v31y1982i2p130-134.html
   My bibliography  Save this article

Experiment Size and Power Comparisons for Two‐Sample Poisson Tests

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2347975
    Download Restriction: no
    File URL: https://libkey.io/10.2307/2347975?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jorssc:v:31:y:1982:i:2:p:130-134. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.