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Exploratory Analysis of Geochemical Anomalies                         59

           different populations in a uni-element geochemical data set comparable (Fig. 3-5B). The
           MAD can be used in lieu of IQR in equation (3.10), thus:

                X −  median
            Z =   ij       j  .                                               (3.11)
             ij
                   MAD  j

           The EDA  standardised  values according to equation  (3.11) are thus analogous to the
           classical standardised values according to equation (3.9).
              In order to compare anomalies associated with different populations in a uni-element
           geochemical data set, the  boxplot-defined threshold and the  IQR  defined for each
           population j can be used for standardisation (cf. Yusta et al., 1998):

                X −  threshold
            Z =   ij         j  .                                             (3.12)
             ij
                     IQR  j

           The standardisation via equation (3.12) should make use of the same type of boxplot-
           defined threshold values (e.g., the boxplot UW). Alternatively, the median+2MAD and
           the median can be used for standardisation:

                 X −  ( median +  2 MAD)
            Z =   ij                j  .                                      (3.13)
             ij
                       median  j

              The standardisation algorithms  in either  equation  (3.10) or equation (3.11)  would
           allow representation of uni-element geochemical data from different sampling media in
           the same  maps in  order to, for example,  compare spatial distributions of the  same
           elements in rocks and soils. Equation  (3.12) or equation (3.13) could be  used, for
           example, to compare anomalies of the same (pathfinder) elements in different sampling
           media. Standardisation of various uni-element geochemical data sets via either equation
           (3.10) or equation (3.11) can be an important step prior to modeling of multi-element
           signatures through application  of multivariate analytical techniques,  which require
           proper estimation of the multivariate covariance (or correlation) matrix.

           Mapping of classified uni-element geochemical data
              EDA-mapping symbols (Tukey and Tukey, 1981; Kürzl, 1988; Reimann, 2005), such
           as those shown in Fig. 3-4, have been proposed to represent data in robust-class intervals
           defined by a boxplot. A boxplot can be conveniently used as a map legend explaining the
           symbols of classes of  data values. For  point-symbol representation of uni-element
           geochemical data (say,  for  stream sediment samples), circles and crosses are used
           because they can be readily perceived to signify low and high values, respectively. Thus,
           extremely low background values, which are usually more infrequent than anomalies in
           an exploration uni-element geochemical data set, are represented by large open circles;
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