Fenvalerate detection limits

Fenvalerate Detection Limits. To the extent that detection limits require knowledge of the calibration curve and random error (for x) as a function of concentration, all of the foregoing discussion is relevant — both for detection and estimation. However, curve shape and errors where x x, are relatively unimportant at the detection limit, in contrast to direct observations of the initial slope and the blank and its variability. (It will be seen that the initial observation in the current data set exceeded the ultimate detection limit by more than an order of magnitude )... 

In the text which follows we shall examine in numerical detail the decision levels and detection limits for the Fenval-erate calibration data set ( set-B ) provided by D. Kurtz (17). In order to calculate said detection limits it was necessary to assign and fit models both to the variance as a function of concentration and the response (i.e., calibration curve) as a function of concentration. No simple model (2, 3 parameter) was found that was consistent with the empirical calibration curve and the replication error, so several alternative simple functions were used to illustrate the approach for calibration curve detection limits. A more appropriate treatment would require a new design including real blanks and Fenvalerate standards spanning the region from zero to a few times the detection limit. Detailed calculations are given in the Appendix and summarized in Table V. 

Figure 2. Calibration curve for Fenvalerate in the Regions of the Detection Limits. Numerical values of decision (C) and detection limits (D) are shown for the "No Threshold , case (b) and "Threshold", case (e) from Table V. For the former, a- and 3-errors are indicated qualitatively. The first (lowest concentration) data point is shown at (x,y) = (50, 1.18).

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