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pointed out that for more accurate (reduced bias) estimates and reliable (increased precision) <br /> results,whenever possible, it is desirable to collect adequate amount of data,perhaps using <br /> DQOs with specified performance measures. <br /> A partial listing of the statistical and graphical methods as incorporated in ProUCL 4.0 is given <br /> as follows. The details of the various statistical and graphical procedures with illustrating <br /> examples can be found in the User Guide and the Technical Guide associated with ProUCL 4.0. <br /> ProUCL Version 4.0 Capabilities <br /> All of the capabilities of ProUCL 3.0 have been retained in ProUCL 4.0. It is anticipated that <br /> ProUCL 4.0 will serve as a companion software package for: 1) UCL Computation Guidance <br /> Document for Hazardous Waste Sites (EPA, 2002a), and 2) Background Guidance Document <br /> (currently under revision) for CERCLA Sites(EPA, 2002b). Several statistical and graphical <br /> methods for data sets with and without ND observations have been incorporated in the upgraded <br /> ProUCL 4.0 software package. Some of those capabilities are listed in the following paragraphs. <br /> Group Option <br /> ProUCL 4.0 provides a"Group" option. An appropriate Group-ID variable representing the <br /> various groups such as different site areas of concern(AOC) or monitoring wells (MWs) should <br /> be available in the data sheet. Using this option, graphical displays and statistical analyses can be <br /> performed separately for each of the group represented by the Group-ID variable. This group <br /> graph option is very useful to perform visual multiple comparison(multiple Q-Q plots, side-by- <br /> side box plots) of the various groups (e.g., AOCs,MWs) identified by the Group-ID variable. <br /> The details of this option are given in ProUCL 4.0 User Guide. <br /> Graphical Methods <br /> ProUCL 4.0 has several graphical methods including multiple quantile-quantile(Q-Q)plots, <br /> side-by-side box plots, and histograms. These graphical methods can be used on data sets with <br /> and without nondetect observations. A typical Q-Q plot (normal, gamma, lognormal)is often <br /> used to visually assess the data distribution of the COPCs. A Q-Q plot also provides important <br /> information about presence of potential outliers and multiple populations that may be contained <br /> in a data set. For data sets with NDs, ProUCL 4.0 can be used to generate Q-Q plots based upon <br /> regression on order statistics (ROS) methods including the robust ROS method. The graphical <br /> displays of multiple Q-Q plots and side-by-side box plots are useful to visually compare the <br /> concentrations of two or more populations, some of which are listed as follows: <br /> • Site versus background populations (areas) <br /> • Surface versus subsurface concentrations <br /> • Concentrations of two or more AOCs or MWs <br /> Goodness-of-Fit(GOF)Test Methods <br /> ProUCL 4.0 has GOF tests for normal, lognormal, and gamma distributions for data sets with <br /> and without nondetect observations. The following GOF tests to assess normality or <br /> lognormality of a data set are available in ProUCL 4.0. <br />