Abstract
The application of mathematical statistics in analytical chemistry is considered. It is shown that the analytical chemist in his research needs, first of all, simple rather than complex methods of one-dimensional statistics. The search for methods of multivariate statistics that are adequate for analytical chemistry may require the participation of specialists in the field of mathematical statistics. The methods of simulation statistics, based on the intensive use of computer technology, can help in overcoming many difficulties associated with the fundamental methodological shortcomings of mathematical statistics itself.
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References
Brown, R.J.C., Goddard, S.L., Brown, A.S.: Using principal component analysis to detect outliers in ambient air monitoring studies. Int. J. Environ. Anal. Chem. 90(10), 761–772 (2010)
Lozano, V.A., Ibañez, G.A., Olivieri, A.C.: Experimental design for the study and optimization of the effect of different surfactants on the spectrophotometric determination of sulfide based on phenothiazine dye production. Anal. Chem. 82(11), 4510–4519 (2010)
Hubert, P., Nguyen-Huu, J.-J., Boulanger, B., Chapuzet, E., Cohen, N., Compagnon, P.-A., Dewé, W., Feinberg, M., Laurentie, M., Mercier, N., Muzard, G., Valat, L., Rozet, E.: Harmonization of strategies for the validation of quantitative analytical procedures: a SFSTP proposal. Part IV. Examples of application. J. Pharm. Biomed. Anal. 48(3), 760–771 (2008)
Coleman, D., Vanatta, L.: Statistics in analytical chemistry: Part 32-detection limits via 3-sigma. Am. Lab. 40(20), 60–62 (2008)
Frank, I.E., Pungor, E., Veress, G.E.: Statistical decision theory applied to analytical chemistry. Part 1. The statistical decision model and its relation to branches of mathematical statistics. Anal. Chim. Acta. 133(3), 433–441 (1981)
McFarren, E.F., Lishka, R.J., Parker, J.H.: Criterion for judging acceptability of analytical methods. Anal. Chem. 42(3), 358–365 (1970)
Sarbu, C.: Application of informational analysis of variance in analytical chemistry. Anal. Chim. Acta. 271(2), 269–274 (1993)
Faber, N.M., Buydens, L.M.C., Kateman, G.: Aspects of pseudorank estimation methods based on an estimate of the size of the measurement error. Anal. Chim. Acta. 296(1), 1–20 (1994)
Rao, R., Lakshminarayanan, S.: Variable interaction network based variable selection for multivariate calibration. Anal. Chim. Acta. 599(1), 24–35 (2007)
Efron, B., Tibshirani, R.: An Introduction to the Bootstrap. Chapman & Hall/CRC, Boca Raton (1993)
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Dementiev, V.A. (2023). Statistical Methods in Analytical Chemistry. In: Kolotov, V.P., Bezaeva, N.S. (eds) Advances in Geochemistry, Analytical Chemistry, and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-031-09883-3_37
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DOI: https://doi.org/10.1007/978-3-031-09883-3_37
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