K. Faber et Br. Kowalski, IMPROVED ESTIMATION OF THE LIMIT OF DETECTION IN MULTIVARIATE CALIBRATION, Fresenius' journal of analytical chemistry, 357(7), 1997, pp. 789-795
The limit of detection is one of the most important performance charac
teristics of an analytical procedure. This paper critically examines a
recently introduced expression for estimating a multivariate limit of
detection. The main result is that the proposed expression is inconsi
stent. An application from inductively coupled plasma - optical emissi
on spectrometry (ICP-OES) shows that the true limit of detection may b
e overestimated by more than 20%. In addition, the practical evaluatio
n of the proposed expression amounts to an iterative procedure, which
is unattractive from an application point of view. A modification is d
erived that solves both problems. The relevant expressions are discuss
ed with respect to their interpretability in terms of experimental des
ign.