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Minimum detectable activity, systematic uncertainties, and the ISO 11929 standard

  • J. M. Kirkpatrick
  • R. Venkataraman
  • B. M. Young
Article

Abstract

The Currie formulation for minimum detectable activity (MDA) has served for decades as the standard method for estimating radiological detection limits-it is simple and statistically defendable. It does, however, lack a means to account for the effects of systematic uncertainties. In recent years we have seen various efforts to incorporate systematic uncertainties into an MDA framework. Perhaps most notable of these is the recent ISO standard 11929 for the determination of characteristic limits in ionizing radiation measurements. This standard brings a Bayesian perspective to the problem of characteristic limits in radiation measurements that are in many ways both welcome and long overdue. In this paper, however, we note some apparent drawbacks to the ISO 11929 approach. Namely, for small values of the systematic uncertainty the correction it makes to the Currie MDA is negligible, while for large systematic uncertainties the calculated MDA values can become infinite. In between these two extremes, the user has little basis for evaluating the reliability of the result. To address these issues, we consider the problem from a new approach, developing a straightforward phenomenological statistical model of the MDA that treats systematic uncertainties explicitly. We compare predictions from our model with results of the ISO 11929 formulation as well as the traditional Currie approach. Finally, some recommendations for alternative handling of the MDA in the face of significant systematic uncertainties are presented.

Keywords

Detection limit MDA Characteristic limits Detection statistics ISO 11929 Systematic uncertainties 

References

  1. 1.
    International Organization for Standardization (2010) ISO 11929 determination of the characteristic limits (decision threshold, detection limit and limits of the confidence interval) for measurements of ionizing radiation-fundamentals and application, GenevaGoogle Scholar
  2. 2.
    Currie LA (1968) Anal Chem 40:586CrossRefGoogle Scholar
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    Canberra Industries Inc. (2009) Genie 2000 customization tools manual, MeridenGoogle Scholar
  4. 4.
    Canberra Industries Inc. (2009) Genie 2000 addendum for ISO 11929/ISO 10703, MeridenGoogle Scholar
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    Gregory P (2005) Bayesian logical data analysis in the physical sciences. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  6. 6.
    Kirkpatrick JM, Young BM (2009) IEEE Trans Nucl Sci 56:1278CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2012

Authors and Affiliations

  • J. M. Kirkpatrick
    • 1
  • R. Venkataraman
    • 1
  • B. M. Young
    • 1
  1. 1.Canberra Industries IncMeridenUSA

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