Weighted serum pools in comparison to the trapezoidal rule for estimating AUCs for ethinyl estradiol

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Abstract
The concept of a weighted pool for estimating the area under the curve (AUC) is presented and set in relationship to the trapezoidal rule. An example from a pharmacokinetic study on ethinyl estradiol is used to demonstrate the use of variance component analysis for relating the intraindividual variance of the AUC, trapezoidal rule and weighted pool to the variance of the determination process. Depending on the sampling times, the theoretical variance of the weighted pool is greater than the theoretical variance of the trapezoidal rule. In the example presented, it was shown that this difference is of no importance in relation to the interindividual variance of the AUC, which dominates the total variance. In the example study, routine quality control samples were also determined in each assay, which allowed independent confirmation of the discussed results on the intraindividual variance of the AUCs.

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