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@@ -38,18 +38,35 @@ the analyte is present (type II or false negative error), is beta (also a one-sided significance test). } +\note{ + - The default values for alpha and beta are recommended by IUPAC. + - The estimation of the LOD in terms of the analyte amount/concentration + xD from the LOD in the signal domain SD is done by simply inverting the + calibration function (i.e. assuming a known calibration function). +} \references{ + Massart, L.M, Vandenginste, B.G.M., Buydens, L.M.C., De Jong, S., Lewi, P.J., + Smeyers-Verbeke, J. (1997) Handbook of Chemometrics and Qualimetrics: Part A, + Chapter 13.7.8 + J. Inczedy, T. Lengyel, and A.M. Ure (2002) International Union of Pure and Applied Chemistry Compendium of Analytical Nomenclature: Definitive Rules. Web edition. + + Currie, L. A. (1997) Nomenclature in evaluation of analytical methods including + detection and quantification capabilities (IUPAC Recommendations 1995). + Analytica Chimica Acta 391, 105 - 126. } \examples{ data(din32645) m <- lm(y ~ x, data = din32645) - # The decision limit (critical value) is obtained by using beta = 0.5: - lod(m, alpha = 0.01, beta = 0.5) # approx. Nachweisgrenze in Dintest 2002 - lod(m, alpha = 0.01, beta = 0.01) - # In the latter case (Erfassungsgrenze), we get a slight deviation from - # Dintest 2002 test data. + lod(m) + + # The critical value (decision limit, German Nachweisgrenze) can be obtained + # by using beta = 0.5: + lod(m, alpha = 0.01, beta = 0.5) + # or approximated by + 2 * lod(m, alpha = 0.01, beta = 0.5)$x + # for the case of known, constant variance (homoscedastic data) } \keyword{manip} |