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The Economic Efficiency of Sampling Size: The Case of Beef Trim

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  • Peyton M. Ferrier
  • Jean C. Buzby

Abstract

The economically optimal sample size in a food safety test balances the marginal costs and marginal benefits of increasing the sample size. We provide a method for selecting the sample size when testing beef trim for Escherichia coli O157:H7 that equates the averted costs of recalls and health damages from contaminated meats sold to consumers with the increased costs of testing while allowing for uncertainty about the underlying prevalence rates of contamination. Using simulations, we show that, in most cases, the optimal sample size is larger than the current sample size of 60 and, in some cases, it exceeds 120. Moreover, lots with a lower prevalence rate have a higher expected damage because contamination is more difficult to detect. Our simulations indicate that these lots have a higher optimal sampling rate.

Suggested Citation

  • Peyton M. Ferrier & Jean C. Buzby, 2013. "The Economic Efficiency of Sampling Size: The Case of Beef Trim," Risk Analysis, John Wiley & Sons, vol. 33(3), pages 368-384, March.
  • Handle: RePEc:wly:riskan:v:33:y:2013:i:3:p:368-384
    DOI: 10.1111/j.1539-6924.2012.01874.x
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    References listed on IDEAS

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    Cited by:

    1. Ollinger, Michael & Houser, Matthew, 2020. "Ground beef recalls and subsequent food safety performance," Food Policy, Elsevier, vol. 97(C).
    2. Mark R. Powell & Maarten Nauta & Don Schaffner & Marcel Zwietering, 2013. "Regarding “The Economic Efficiency of Sampling Size: The Case of Beef Trim”," Risk Analysis, John Wiley & Sons, vol. 33(3), pages 350-352, March.
    3. M. Focker & H. J. van der Fels‐Klerx & A. G. J. M. Oude Lansink, 2019. "Optimization of the Aflatoxin Monitoring Costs along the Maize Supply Chain," Risk Analysis, John Wiley & Sons, vol. 39(10), pages 2227-2236, October.
    4. Jeff Miller & Rolf Ulrich, 2019. "The quest for an optimal alpha," PLOS ONE, Public Library of Science, vol. 14(1), pages 1-13, January.

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