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where: <br /> RSD = Relative standard deviation for the precision measurement for the <br /> analyte <br /> SD = Standard deviation of the concentration for the analyte <br /> Mean Concentration = Mean concentration for the analyte <br /> The precision or reproducibility of a measurement will improve with increasing count time, <br /> however, increasing the count time by a factor of 4 will provide only 2 times better precision, so there <br /> is a point of diminishing return. Increasing the count time also improves the detection limit, but <br /> decreases sample throughput. <br /> 9.6 Detection Limits: Results for replicate analyses of a low-concentration sample, SSCS, <br /> or SRM can be used to generate an average site-specific method detection and quantitation limits. <br /> In this case, the method detection limit is defined as 3 times the standard deviation of the results for <br /> the low-concentration samples and the method quantitation limit is defined as 10 times the standard <br /> deviation of the same results. Another means of determining method detection and quantitation <br /> limits involves use of counting statistics. In FPXRF analysis, the standard deviation from counting <br /> statistics is defined as SD = (N)h, where SD is the standard deviation for a target analyte peak and <br /> N is the net counts for the peak of the analyte of interest (i.e., gross counts minus background under <br /> the peak). Three times this standard deviation would be the method detection limit and 10 times this <br /> standard deviation would be the method quantitation limit. If both of the above mentioned <br /> approaches are used to calculate method detection limits, the larger of the standard deviations <br /> should be used to provide the more conservative detection limits. <br /> This SD based detection limit criteria must be used by the operator to evaluate each <br /> measurement for its useability. A measurement above the average calculated or manufacturer's <br /> detection limit, but smaller than three times its associated SD, should not be used as a quantitative <br /> measurement. Conversely, if the measurement is below the average calculated or manufacturer's <br /> detection limit, but greater than three times its associated SD. It should be coded as an estimated <br /> value. <br /> 9.7 Confirmatory Samples: The comparability of the FPXRF analysis is determined by <br /> submitting FPXRF-analyzed samples for analysis at a laboratory. The method of confirmatory <br /> analysis must meet the project and XRF measurement data quality objectives. The confirmatory <br /> samples must be splits of the well homogenized sample material. In some cases the prepared <br /> sample cups can be submitted. A minimum of 1 sample for each 20 FPXRF-analyzed samples <br /> should be submitted for confirmatory analysis. This frequency will depend on data quality objectives. <br /> The confirmatory analyses can also be used to verify the quality of the FPXRF data. The <br /> confirmatory samples should be selected from the lower, middle, and upper range of concentrations <br /> measured by the FPXRF. They should also include samples with analyte concentrations at or near <br /> the site action levels. The results of the confirmatory analysis and FPXRF analyses should be <br /> evaluated with a least squares linear regression analysis. If the measured concentrations span more <br /> than one order of magnitude, the data should be log-transformed to standardize variance which is <br /> proportional to the magnitude of measurement. The correlation coefficient (r2) for the results should <br /> be 0.7 or greater for the FPXRF data to be considered screening level data. If the r2 is 0.9 or greater <br /> and inferential statistics indicate the FPXRF data and the confirmatory data are statistically <br /> equivalent at a 99 percent confidence level, the data could potentially meet definitive level data <br /> criteria. <br /> CD-ROM 6200 - 12 Revision 0 <br /> January 1998 <br />