2002
DOI: 10.1016/s1570-0232(02)00244-1
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Linear regression for calibration lines revisited: weighting schemes for bioanalytical methods

Abstract: When the assumption of homoscedasticity is not met for analytical data, a simple and effective way to counteract the greater influence of the greater concentrations on the fitted regression line is to use weighted least squares linear regression (WLSLR). The purpose of the present paper is to stress the relevance of weighting schemes for linear regression analysis and to show how this approach can be useful in the bioanalytical field. The steps to be taken in the study of the linear calibration approach are de… Show more

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Cited by 532 publications
(393 citation statements)
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“…This phenomenon is common in bioanalytical analysis using LC/ MS based methods [48]. As such, a weighted least-squares linear regression was used [58,59] in our method. Different weighting factors including linear (1/X and 1/Y normalized to the smallest amount) and quadratic (1/X 2 and 1/ Y 2 normalized to the smallest amount) were compared using Agilent ChemStation software Rev.A.09.03.…”
Section: Methods Validation Design-mentioning
confidence: 99%
“…This phenomenon is common in bioanalytical analysis using LC/ MS based methods [48]. As such, a weighted least-squares linear regression was used [58,59] in our method. Different weighting factors including linear (1/X and 1/Y normalized to the smallest amount) and quadratic (1/X 2 and 1/ Y 2 normalized to the smallest amount) were compared using Agilent ChemStation software Rev.A.09.03.…”
Section: Methods Validation Design-mentioning
confidence: 99%
“…Calibration curves were constructed by plotting drug-internal standard peak height ratio as a function of the respective concentrations in the calibration samples. The data were subjected to a weighted linear regression analysis using 1/x 2 as weighting factor, which was chosen taking the plots and the sums of absolute percentage relative error into account (Almeida et al, 2002). The sensitivity was evaluated by determining the limit of quantification (LOQ), which is defined as the lowest concentration of the calibration curve that can be measured with acceptable inter-and intraday precision and accuracy, assessed respectively by the coefficient of variation (CV) and the deviation from nominal value (bias) within 20%.…”
Section: Methods Validationmentioning
confidence: 99%
“…Correlation coefficients obtained by the weighted least squares linear regression method demonstrated the linearity of this analysis. 25 The rotigotine concentration in each unknown plasma sample was calculated.…”
Section: Plasma Analysis Of Rotigotinementioning
confidence: 99%