Skip to main content
Log in

Methodology of analysis of unseparated mixtures: Interval estimates of the total concentration of similar analytes

  • Articles
  • Published:
Journal of Analytical Chemistry Aims and scope Submit manuscript

Abstract

Determination of the total concentration (c Σ) of similar analytes recalculated to a standard substance Xst is a widely used but metrologically incorrect procedure leading to a high uncertainty of the results of analysis. An algorithm is proposed for the interval estimation of c Σ without recalculating to the concentration of Xst. The algorithm takes into account different sensitivities of the determination of analytes of the studied type. No information on the nature and ratio of analytes in the sample is used. The width of the range of possible values of c Σ objectively characterizes the systematic component of the error, it is independent of the choice of Xst, exceeds the width of traditional confidence intervals, and becomes zero at equal sensitivities of the determination of all analytes in a group. The accuracy of interval estimates is supported by the analysis of model mixtures of different types using several methods of measuring the total signal.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Baena, J.R. and Valcarcel, M., TrAC, Trends Anal. Chem., 2003, vol. 22, no. 10, p. 641.

    Article  CAS  Google Scholar 

  2. Vershinin, V.I., Talanta, 2015, vol. 131, no. 1, p. 293.

    Google Scholar 

  3. Basic and general concepts and associated terms (VIM), International Vocabulary of Metrology, JCGM 200, 2008, 3rd ed.

    Google Scholar 

  4. Vershinin, V.I., Brilenok, N.S., and Tsyupko, T.G., J. Anal. Chem., 2012, vol. 67, no. 7, p. 649.

    Article  CAS  Google Scholar 

  5. Vershinin, V.I, Antonova, T.V., and Fedorova, M.A., Zavod. Lab., Diagn. Mater., 2013, vol. 79, no. 10, p. 3.

    CAS  Google Scholar 

  6. Tsyupko, T.G., Petrakova, I.V., Brilenok, N.C., Nikolaeva, N.A., Chuprynina, D.A., Temerdashev, Z.A., and Vershinin, V.I., Analitika kontrol’, 2011, vol. 15, no. 3, p. 287.

    Google Scholar 

  7. Khatmullina, R.M., Magasumova, A.T., Safarova, V.I., and Fat’yanova, E.V., Estestv. Tekh. Nauki, 2013, vol. 64, no. 2, p. 11.

    Google Scholar 

  8. Bogolitsyn, K.G., Soboleva, T.V., Gusakova, M.A., Pochtovalova, A.S., and Lichutina, T.F., Nauchnye osnovy ekologo-analiticheskogo kontrolya promyshlennykh stochnykh vod TsBP (Scientific Basis of Environmental Analytical Control of Pulp and Paper Industrial Wastewater), Yekaterinburg: Uralsk. otd., Ross. Akad. Nauk, 2010.

    Google Scholar 

  9. Carlsen, M.H., Halvorsen, B.L., Holte, K., Bohn, S.K., Dragland, S., Sampson, L., Willey, C., Senoo, H., Umezono, Y., Sanada, C., Barikmo, I., Berhe, N., Willet, W.C., Phillips, K.M., Jacobs, D.R., and Blomhoff, R., Nutr. J., 2010, vol. 9, no. 1, p. 3.

    Article  Google Scholar 

  10. Gigienicheskie normativy khimicheskikh veshchestv v okruzhayushchei srede (Hygienic Standards of Chemical Substances in the Environment), Rakhmanin, Yu.A., Semenova, V.V., and Moskvin, A.V., Eds., St. Petersburg: Professional, 2007, 3rd ed.

  11. Klenkin, A.A., Pavlenko, L.F., and Temerdashev, Z.A., Zavod. Lab., Diagn. Mater., 2007, vol. 73, no. 2, p. 31.

    CAS  Google Scholar 

  12. Analysis of Petroleum Hydrocarbons in Environmental Media, Total petroleum hydrocarbon criteria working group series, vol. 1, Weisman, W., Ed., Amherst Sci. Publ., 1998.

  13. Tropynina, L.V., Kartashova, A.V., Zhilina, I.V., and Romanov, P.V., Metody Otsenki sootvetstviya, 2012, no. 12, p. 20.

    Google Scholar 

  14. Dedkov, Yu.M., Ross. Khim. Zh., 2002, vol. 46, no. 4, p. 11.

    CAS  Google Scholar 

  15. Vershinin, V.I. and Isachenko, N.A., Vestn. Omsk. Univ., 2012, no. 4, p. 96.

    Google Scholar 

  16. Rukovodstvo EVRAKhIM/SITAK. Kolichestvennoe opisanie neopredelennosti v analiticheskikh izmereniyakh (Quantifying Uncertainty in Analytical Measurement: A EURACHEM/CITAC Guide), St. Petersburg: All-Russ. Sci. Res. Inst. Metrology, 2002, 2nd ed.

  17. Vidimkina, Yu.I., Kazakova, O.A., and Vershinin, V.I., Vestn. Omsk. Univ., 2013, no. 2, p. 108.

    Google Scholar 

  18. Antonova, T.V., Vershinin, V.I., Ivanova, V.A., and Shiligin, P.V., Analitika kontrol’, 2012, vol. 16, no. 4, p. 343.

    Google Scholar 

  19. Usova, S.V., Fedorova, M.A., Petrov, S.V., and Vershinin, V.I., Analitika kontrol’, 2015, vol. 19, no. 1, p. 69.

    Google Scholar 

  20. Fedorova, M.A., Usova, S.V., and Vershinin, V.I., Analitika kontrol’, 2014, vol. 18, no. 1, p. 91.

    Google Scholar 

  21. Kuleshova, M.P. and Vershinin, V.I., Vestn. Omsk. Univ., 2012, no. 2, p. 131.

    Google Scholar 

  22. Semenov, A.D., Stradomskaya, A.G., and Pavlenko, L.F., in Metody analiza prirodnykh i stochnykh vod (Methods of Analysis of Natural and Waste Waters), Moscow: Nauka, 1977, p. 203.

    Google Scholar 

  23. Pupkova, V.I. and Prasolova, L.M., Opredelenie belka v moche i spinnomozgovoj zhidkosti (Determination of Protein in Urine and Cerebrospinal Fluid), Koltsovo: Vector Best, 2007. http://new.docme.ru/doc/318536. Accessed April 20, 2015.

    Google Scholar 

  24. Stas’, I.E., Leites, E.A., Shipunov, B.P., and Lykova, M.I., Khim. Rastit. Syr’ya, 1997, vol. 1, no. 3, p. 35.

    Google Scholar 

  25. Tsyupko, T.G., Chuprynina, D.A., Nikolaeva, N.A., Voronova, N.A., and Temerdashev, Z.A., Izv. Vyssh. Uchebn. Zaved., Pishch. Tekhnol., 2011, nos. 5–6, p. 84.

    Google Scholar 

  26. Vershinin V.I., Kuleshova M.P., Isachenko N.A., and Shiligin P.V., J. Anal. Chem., 2013, vol. 68, no. 6, p. 477.

    Article  CAS  Google Scholar 

  27. Nenadis, N., Lazaridou, O., and Tsimidou, M.Z., J. Agric. Food Chem., 2007, vol. 55, no. 14, p. 5452.

    Article  CAS  Google Scholar 

  28. Razumnikov, N.A., Vinokurova, R.I., and Konyukhova, O.M., RF Patent 2422819, Byull. Izobret., 2011, no.18.

  29. Ziyatdinova, G.K., Nizamova, A.M., and Budnikov, G.K., J. Anal. Chem., 2010, vol. 65, no. 11, p. 1176.

    Article  CAS  Google Scholar 

  30. RD (Detailed Design Documentation) 52.10.243-92: Guidance on Chemical Analysis of Sea Water, St. Petersburg: Gidrometeoizdat, 1993.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. I. Vershinin.

Additional information

Original Russian Text © V.I. Vershinin, N.A. Isachenko, N.S. Brilenok, 2016, published in Zhurnal Analiticheskoi Khimii, 2016, Vol. 71, No. 4, pp. 369–376.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vershinin, V.I., Isachenko, N.A. & Brilenok, N.S. Methodology of analysis of unseparated mixtures: Interval estimates of the total concentration of similar analytes. J Anal Chem 71, 351–358 (2016). https://doi.org/10.1134/S1061934816040080

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061934816040080

Keywords

Navigation