IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v33y2006i6p583-594.html
   My bibliography  Save this article

Bayesian sample-size determination for one and two Poisson rate parameters with applications to quality control

Author

Listed:
  • James Stamey
  • Dean Young
  • Tom Bratcher

Abstract

We formulate Bayesian approaches to the problems of determining the required sample size for Bayesian interval estimators of a predetermined length for a single Poisson rate, for the difference between two Poisson rates, and for the ratio of two Poisson rates. We demonstrate the efficacy of our Bayesian-based sample-size determination method with two real-data quality-control examples and compare the results to frequentist sample-size determination methods.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:33:y:2006:i:6:p:583-594
    DOI: 10.1080/02664760600679643
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664760600679643
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664760600679643?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Barker L., 2002. "A Comparison of Nine Confidence Intervals for a Poisson Parameter When the Expected Number of Events is 5," The American Statistician, American Statistical Association, vol. 56, pages 85-89, May.
    2. 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.
    3. D. B. Rubin & N. Schenker, 1986. "Efficiently Simulating the Coverage Properties of Interval Estimates," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 35(2), pages 159-167, June.
    4. Price, Robert M. & Bonett, Douglas G., 2000. "Estimating the ratio of two Poisson rates," Computational Statistics & Data Analysis, Elsevier, vol. 34(3), pages 345-356, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Stamey, James D. & Boese, Doyle H. & Young, Dean M., 2008. "Confidence intervals for parameters of two diagnostic tests in the absence of a gold standard," Computational Statistics & Data Analysis, Elsevier, vol. 52(3), pages 1335-1346, January.
    2. Billings, Stephen B. & Johnson, Erik B., 2012. "The location quotient as an estimator of industrial concentration," Regional Science and Urban Economics, Elsevier, vol. 42(4), pages 642-647.
    3. 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.
    4. Dranove, David & Lindrooth, Richard & White, William D. & Zwanziger, Jack, 2008. "Is the impact of managed care on hospital prices decreasing?," Journal of Health Economics, Elsevier, vol. 27(2), pages 362-376, March.
    5. Hui-Qiong Li & Man-Lai Tang & Weng-Kee Wong, 2014. "Confidence intervals for ratio of two Poisson rates using the method of variance estimates recovery," Computational Statistics, Springer, vol. 29(3), pages 869-889, June.
    6. Young, D.S., 2013. "Approximate tolerance limits for Zipf–Mandelbrot distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1702-1711.
    7. Boese, Doyle H. & Young, Dean M. & Stamey, James D., 2006. "Confidence intervals for a binomial parameter based on binary data subject to false-positive misclassification," Computational Statistics & Data Analysis, Elsevier, vol. 50(12), pages 3369-3385, August.
    8. 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.
    9. 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.

    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:taf:japsta:v:33:y:2006:i:6:p:583-594. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    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.