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Nonparametric Tolerance Limit <br /> When the background data set contains greater than 50 percent but less than 100 percent non- <br /> detect values and/or its distribution is not normal (or transformed normal), Sanitas applies the <br /> nonparametric tolerance limit method. However, this method requires a large number of samples <br /> to achieve a false positive rate of 1 percent or less, which is required by CCR Title 23, Chapter <br /> 15, Article 5 guidelines. Thus, when the alpha level was higher than 1 percent, the concentration <br /> limit was not established and data was compared to established limits in the Waste Discharge <br /> Requirements. <br /> Non-statistical Approach <br /> When the background data set contains 100 percent non-detect values, Sanitas applies the non- <br /> statistical approach. This approach takes into consideration that if historically a constituent has <br /> not been detected, any detection of that constituent would be considered an exceedance. Thus, <br /> in these situations (100 percent non-detected values), the tolerance limit is set at "detect", <br /> meaning that if a value is detected above its method detection limit, this value is an exceedance <br /> of the concentration limit. <br /> Trend Analysis <br /> Sen's Slope measures the change in constituent concentrations per unit time. Sen's method is <br /> not greatly affected by outliers, and the slope can be computed when data are missing. Sen's <br /> estimator is closely related to the Mann-Kendall test, which is a nonparametric rank correlation <br /> test for trend. The test uses only the relative magnitudes of the data rather than their actual <br /> values; therefore, missing values are allowed, and constituents that are reported as less than the <br /> detection limit can be used by assigning them values equal to half the detection limit. Sen's <br /> Slope and the Mann-Kendall tests are described in "Statistical Methods for Environmental <br /> Pollution Monitoring," Richard O. Gilbert, Van Nostrand Reinhold, New York, 1987. Mann- <br /> Kendall test is recommended in "An Evaluation of Trend Detection Techniques for use in Water <br /> Quality Monitoring Programs," Jim C. Loftis, et al. (USEPA), 1989. <br /> For the Harney Lane Sanitary Landfill, the null hypothesis is "no statistically significant trend in <br /> constituent concentrations." The null hypothesis is rejected if trends in the data are significant at <br /> alpha = 0.05, which is the probability of rejecting the null hypothesis of no trend when it is true <br /> (i.e., a Type 1 error). Sanitas is used to calculate both the Sen's Slope and the Mann-Kendall <br /> test for trends. <br /> Harney Lane Sanitary Landfill D-2 Department of Public Works/Soiid Waste <br /> 1s'Semester 2013 Groundwater Monitoring Report County of San Joaquin—July 15,2013 <br />