Tutorial on evaluation of type I and type II errors in chemical analyses: From the analytical detection to authentication of products and process control

Second- and higher-order data generation and calibration: A tutorial

“…Applications of this procedure can be seen in [103]. Further work is required to 1025 investigate the effect of potential interferents and the second-order advantage in the 1026 latter formulation.…”

Analytical Figures of Merit: From Univariate to Multiway Calibration

“…107,108 Although this approach is appealing from the intuitive point of view, it is likely that detection and quantitation limits estimated in this way are only averages of those corresponding to samples with low analyte concentrations, but with varying levels of other constituents.…”

Fundamentals of PARAFAC

“…d(a,b) is a statistical term that takes into account the risks of both false-positive (a) and false-negative (b) decisions when stating the analyte is present or not in a given sample, for a given number n of degrees of freedom [60]. When n is large enough, d(a,b) can be expressed as (t a,n + t b,n ), from the corresponding t-Student distribution Alternatively, and based on the recent definition of sensitivity by Olivieri [51], given by Equation (22), the LOD for a given analyte has been defined as:…”