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APPENDIX D <br /> 10STATISTICAL METHODS TO DETERMINE CONCENTRATION LIMITS <br /> Tolerance Limit Methodologies <br /> The purpose of a tolerance interval approach is to define a concentration range from background <br /> well data, within which a large proportion of the monitoring observations should fall with a high <br /> probability. The proportion of the population included is referred to as the coverage. The <br /> probability with which the tolerance interval includes the proportion of the population is referred to <br /> as the tolerance coefficient. <br /> Consistent with USEPA and state recommendations, Sanitas (computer program utilized)uses a 95 <br /> percent coverage and 95 percent tolerance coefficient. The upper 95 percent tolerance limit will <br /> contain at least 95 percent of the distribution of observations from background well data. The <br /> tolerance interval method is described in the following documents: <br /> -- Introduction to Statistical Quality Control, D.C. Montgomery. John Wiley Publishing, <br /> New York. 1985. <br /> -- Statisitical Analysis of Groundwater Monitoring Data at RCRA Facilities, Interim Final <br /> Guidance Document, USEPA. USEPA/530-SW-89-026. February 1989. <br /> -- Statistical Analysis of Groundwater Monitoring Data at RCRA Facilities, Addendum to <br /> Interim Final Guidance, USEPA. USEPA/530-R-93-003. July 1992. <br /> Shaw uses Sanitas to calculate tolerance limits for all County landfills. Sanitas is a statistical <br /> software program developed by Intelligent Decision Technologies, Ltd. (IDT). It is specifically <br /> designed to evaluate water quality monitoring data for landfills. Sanitas performs all pre- and post- <br /> analysis tests required so that the data do not violate size and distribution assumptions of the relevant <br /> statistical analysis. <br /> Within Sanitas, the EPA Standards are used to evaluate all data. <br /> Parametric Tolerance Limit <br /> When conducting the tolerance interval method, Sanitas automatically evaluates the distribution of <br /> the data. Within Sanitas, Shaw selects the Coefficient of Variation test for normality to be applied. <br /> Sanitas applies the parametric tolerance limit test when the background data set is found to have less <br /> than 50 percent non-detects and the background data have a normal or transformed normal <br /> distribution. If greater than 15 percent but less than 50 percent of the background data set consist of <br /> non-detect values,the mean and standard deviation of the data set are adjusted using the Aitchison's <br /> Method. The tolerance limit is then calculated using the adjusted values. <br /> Nonparametric Tolerance Limit <br /> When the background data set contains greater than 50 percent but less than 100 percent nondetect <br /> 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 to <br /> achieve a false positive rate of 1 percent or less, which is required by CCR Title 27 guidelines. <br /> Corral Hollow Landfill D-1 Department of Public Works/Solid Waste <br /> 2nd Quarter 2007 Groundwater Monitoring County of San Joaquin—July 31,2007 <br />