PerspectiveQuantifying uncertainty in qualitative analysis

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Stephen L. R. Ellison and Soumi Gregory


Abstract

The feasibility of adopting a consistent approach to the expression of uncertainties relating to identification is discussed. It is argued that qualitative analysis can be viewed as a classification problem, that it is at least as important as quantitative analysis and that inferences drawn from qualitative tests should take relevant uncertainties into account. A brief review of systems of reasoning under uncertainty is presented, and it is concluded that Bayes’ theorem provides the most suitable framework, providing for combination of separate items of evidence and implicitly allowing for both false positive and false negative probabilities in a single parameter. The chemical significance and practical evaluation of relevant probabilities are considered, and the applications and reporting of ‘identification certainty’ figures are discussed.


References

  1. M. Viktorin, LaborPraxis, 1995, 19, 80 Search PubMed.
  2. P. I. Laferty, J. Forensic Sci., 1994, 39, 261 Search PubMed.
  3. L. B. Rogers, Anal. Chem., 1990, 62, 703A CAS.
  4. T. Cairns, E. G. Siegmund, T. L. Barry and G. Petzinger, Rapid Commun. Mass. Spectrom., 1990, 4, 58 CAS.
  5. A. F. Weston, Chem. Eng., 1984, 91, 54 Search PubMed.
  6. Guide To The Expression Of Uncertainty In Measurement, ISO, Geneva, 1993 Search PubMed.
  7. Quantifying Uncertainty in Analytical Measurement, Eurachem working group on uncertainty in chemical measurement (12 members). LGC, Middlesex, UK, 1995 Search PubMed.
  8. Accuracy (trueness and precision) of measurement methods and results, ISO, Geneva, 1995, ISO 5725:1994 Search PubMed.
  9. W. Horwitz, Pure Appl. Chem., 1988, 60, 855 CAS.
  10. G. Den Boef and A. Hulanicki, Pure Appl. Chem., 1983, 55, 553.
  11. International Union of Pure and Applied Chemistry, Compendium of Analytical Nomenclature, Blackwell Scientific Publications, Oxford, 1987 Search PubMed.
  12. A. M. van Ginneken and A. W. M. Smeulders, Anal. Quant. Cytol. Histol., 1991, 13, 93 Search PubMed.
  13. G. Gettinby, M. Peterson and N. Watson, J. Forensic Sci. Soc., 1993, 33, 212 Search PubMed.
  14. C. G. G. Aitken and D. A. Stoney, The Use of Statistics in Forensic Science, Ellis Horwood, Chichester, 1991 Search PubMed.
  15. C. G. G. Aitken, Statistics and the Evaluation of Evidence for Forensic Scientists, Wiley, Chichester, 1995 Search PubMed.
  16. D. A. Berry, in DNA on Trial: Genetic Identification and Criminal Justice, Cold Spring Harbor Laboratory Press, Plainview, NY, 1992 Search PubMed.
  17. I. W. Evett, J. Forensic Sci. Soc., 1986, 26, 3 Search PubMed.
  18. See, for example, I. W. Evett and P. Gill, Electrophoresis, 1991, 12, 226 Search PubMed.
  19. R. Neuböck, W. Wegscheider and M. Otto, Microchem. J., 1992, 45, 343 CrossRef.
  20. S. D. Ferrara, L. Tedeschi, G. Frison, G. Brusini, F. Castagna, B. Bernardelli and D. Soregaroli, J. Anal. Toxicol., 1994, 18, 278 CAS.
  21. B. G. Buchanan and E. H. Shortlife, Rule Based Expert Systems—The MYCIN experiments of the Stanford Heuristic Programming Project, Addison Wesley, Menlo Park, CA, 1985 Search PubMed.
  22. E. J. Horwitz, D. E. Heckerman, B. N. Nathwani and L. M. Fagan, in Proceedings of the First Conference on Artificial Intelligence Application, IEEE Computer Society, New York, 1984, p. 630 Search PubMed.
  23. L. C. Van der Gaag, Int. J. Expert Syst., 1994, 7, 289 Search PubMed.
  24. D. J. Ramsbottom, M. J. Adams, J. Sumiga and J. Carroll, Chemom. Intell. Lab. Syst., 1993, 19, 53 CrossRef CAS.
  25. Q. Dan and J. Dudeck, Med. Inf., 1992, 17, 87 Search PubMed.
  26. E. H. Forman, Expert Syst. Appl., 1992, 4, 259 CrossRef.
  27. C. G. Georgakopoulos, M. Statheropoulos, J. Kontoyannakos and G. Parissakis, J. Anal. Appl. Pyrol., 1995, 34, 29 CrossRef CAS.
  28. P. B. Harrington, T. E. Street, K. J. Voorhees, F. R. Brozolo and R. W. Odom, Anal. Chem., 1989, 61, 715 CrossRef CAS.
  29. L. A. Zadeh, Information and Control, 1965, 8, 338 Search PubMed.
  30. M. Otto, Anal. Chem., 1990, 62, 797.
  31. B. Walczak, E. Bauer-Wolf and W. Wegscheider, Mikrochim. Acta, 1994, 113, 153 CAS.
  32. G. Shafer, J. Am. Stat. Assoc., 1982, 77, 325.
  33. W. G. De Ruig, G. Dijkstra and R. W. Stephany, Anal. Chim. Acta, 1989, 223, 277 CrossRef.
  34. L. A. Currie and W. Horwitz, Analusis, 1994, 22, M24 CAS.
  35. J. Fleming, Anal. Proc., 1995, 32, 31 RSC.
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