Comparison of three weighting schemes in weighted regression analysis for use in a chemistry laboratory

Clinica Chimica Acta; International Journal of Clinical Chemistry
Ram B Jain

Abstract

To minimize the effect of heteroscedasticity in chemical and other data, weighted regression analysis is the preferred regression technique. In this work a regression weight that maximizes accuracy and precision was sought. Using real and simulated data from a serum cotinine assay, performance of 3 weighting schemes, namely, 1/X, 1/X(2), and 1/s(2)(Y) to calibrate chemical data was evaluated. Two performance measures were used to evaluate the accuracy and precision of each scheme to estimate concentrations in unknown specimens. The weight, 1/X-particularly for low concentrations-was not acceptable. The performance of both, 1/X(2) and 1/s(2)(Y) was close, 1/X(2) being slightly better in many cases. Overall, however, when the variance of instrument signal increased beyond certain limits, none of the weighting schemes performed acceptably. Because of its simplicity and ease of use, 1/X(2) is recommended for general application. If, however, instrument signal variance is too high to be managed by statistical techniques, the only solution is to control such variance through laboratory-based solutions.

References

Jun 7, 1996·Journal of Chromatography. B, Biomedical Applications·H AboleneenD Backes
Mar 4, 2000·Journal of Pharmaceutical and Biomedical Analysis·N V NagarajaR C Gupta
Jun 22, 2002·Journal of Chromatography. B, Analytical Technologies in the Biomedical and Life Sciences·A M AlmeidaA C Falcão
Mar 26, 2003·Journal of Chromatography. B, Analytical Technologies in the Biomedical and Life Sciences·Sima SadraySaeid Rezakhah

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Citations

Jan 14, 2016·Journal of Chromatography. B, Analytical Technologies in the Biomedical and Life Sciences·Yanhui GaoHongxiang Lou
Aug 12, 2021·Analytical and Bioanalytical Chemistry·Ruben SmetsMik Van Der Borght

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