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

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  • 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
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    References listed on IDEAS

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    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.
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