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Basic calculations about the limit of detection and its optimal determination

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Abstract

The limit of detection (LOD) is based strictly on an accepted probability for a false positive decision (type 1 error). For the needed standard deviation of the blank, a basic value for the calculation, three experimental different methods are described, which should be applicable in every case. Table values for simple but exact calculation, not only for single, but also for mean values, and with probabilities for the type 1 error of 1% and 5% are presented. Demands for an acceptable uncertainty of the LOD and for the validation of the result are specified.

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References

  1. Kaiser HZ (1965) Fresenius Z Anal Chem 209:1–18

    Google Scholar 

  2. DIN 32645

  3. IUPAC. Orange book: Compendium of analytical nomenclature, 2nd edn. Blackwell Scientific, Oxford

  4. Funk W, Dammann V, Donnevert G (1992) Qualitätssicherung in der Analytischen Chemie. VCH, Weinheim

  5. Fleming J, Albus H, Neidhart B, Wegscheider W (1997) Accred Qual Assur 2:51–52

    Article  Google Scholar 

  6. Huber W (2002) Accred Qual Assur 7:256–257

    Google Scholar 

  7. Huber W (1997) Accred Qual Assur 2:376

    Google Scholar 

  8. US Environmental Protection Agency (USEPA) (1997) Open File Report, pp 99–193

  9. Vogelgesang J, Hädrich J (1998) Accred Qual Assur 3:243–255

    Article  Google Scholar 

  10. DIN 32 645, Leerwertmethode

  11. Huber W (2001) GIT 45:1308–1309

    CAS  Google Scholar 

  12. The definition of a Method detection limit MLD=sx t (USEPA) is similar, but neglects that there are two uncertainties (blank and sample), and not just one

  13. DIN 32 645, Kalibriergeradenmethode

  14. A very long list of papers with this factor begins with (1) and ends with (5)

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Correspondence to Walter Huber.

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Huber, W. Basic calculations about the limit of detection and its optimal determination. Accred Qual Assur 8, 213–217 (2003). https://doi.org/10.1007/s00769-003-0626-8

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  • DOI: https://doi.org/10.1007/s00769-003-0626-8

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