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True detection limits in an experimental linearly heteroscedastic system.: Part 2
Authors:Edward Voigtman  Kevin T. Abraham
Affiliation:Department of Chemistry, University of Massachusetts - Amherst, 710 N. Pleasant St., Amherst, MA 01003-9336, United States
Abstract:Despite much different processing of the experimental fluorescence detection data presented in Part 1, essentially the same estimates were obtained for the true theoretical Currie decision levels (YC and XC) and true Currie detection limits (YD and XD). The obtained experimental values, for 5% probability of false positives and 5% probability of false negatives, were YC = 56.0 mV, YD = 125. mV, XC = 0.132 μg/mL and XD = 0.293 μg/mL. For 5% probability of false positives and 1% probability of false negatives, the obtained detection limits were YD = 158. mV and XD = 0.371 μg/mL. Furthermore, by using bootstrapping methodology on the experimental data for the standards and the analytical blank, it was possible to validate previously published experimental domain expressions for the decision levels (yC and xC) and detection limits (yD and xD). This was demonstrated by testing the generated decision levels and detection limits for their performance in regard to false positives and false negatives. In every case, the obtained numbers of false negatives and false positives were as specified a priori.
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