Although 5 years have passed since the publication of a previous editorial in this journal that tried to reconcile the concepts [1], laboratory professionals are still playing the total error (TE) vs. uncertainty game. Two papers published in this issue of Clinical Chemistry and Laboratory Medicine further discuss the subject [2, 3], which was revitalized by the organization of the 1st EFLM Str...

13 Available online xxxx 12 14 15 16 17 18 19 20 21 22 PR OO In the practice of auditing, for cost concerns, auditors verify only a sample of accounts to estimate the error of the total population of accounts. The most common statistical method to select an audit sample is by monetary unit sampling (MUS). However, common MUS estimation practice does not explicitly recognize the multiple distrib...

For solving linear ill-posed problems regularization methods are required when the right hand side and the operator are with some noise. In the present paper regularized approximations are obtained by regularized total least squares and dual regularized total least squares. We discuss computational aspects and provide order optimal error bounds that characterize the accuracy of the regularized ...

In this paper, an FIR filter design based on total least squares error criterion is investigated. The filter coefficients are obtained from the elements of the eigenvector corresponding to minimum eigenvalue of a real, symmetric and positive definite matrix. This design is not only optimal in total least squares error sense, it is also easy to incorporate linear constraints in time and frequenc...

We report the accuracy, imprecision, total analytical errors, and patient misclassification errors for cholesterol measured from capillary whole blood, venous whole blood, and venous plasma samples by five devices used in public cholesterol screening environments: Reflotron, Vision, Ektachem DT-60, QuickRead, and Liposcan. None of the methods met the National Cholesterol Education Program (NCEP...

This paper derives and analyzes the estimate error-covariance associated for both the non-stationary and stationary noise process cases with uncorrelated element-wise components for the total least squares problem. The non-stationary case is derived directly from the associated unconstrained total least squares loss function. The stationary case is derived by using a linear expansion of the tot...

We study the behavior of spectral viscosity approximations to nonlinear scalar conservation laws. We show how the spectral viscosity method compromises between the total-variation bounded viscosity approximations— which are restricted to first-order accuracy—and the spectrally accurate, yet unstable, Fourier method. In particular, we prove that the spectral viscosity method is Ll-stable and hen...

Oxidation of nitric oxide in aqueous solution to nitrite but not nitrate: comparison with enzymatically formed nitric oxide from L-arginine. A spectrophotometric assay for nitrate using NADPH oxidation by Aspergillus nitrate reductase. Measurement of nitrite and nitrate in biological fluids by gas chromatography mass spectrometry and by the Griess assay: problems with the Griess assay—solutions...