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252     SOLID WASTE CHARACTERIZATION BY BUSINESS ACTIVITIES




                                     Thorndike Procedure Graph
                     800
                   Average SSE per Group  600
                     700

                     500
                     400
                     300
                     200
                     100
                       0
                         2   5    8   11  14  17   20  23   26  29   32  35


                                        Number of Clusters (k)


                                                          Expanded View
                                  25


                                Average SSE per Group  15    Optimal cluster size (k) = 22
                                  20





                                  10


                                   5



                                   0
                                    13   15   17   19  21   23   25   27   29   31  33   35
                                                       Number of Clusters (k)

                   Figure 15.8      K-means method and Thorndike procedure graph to
                   determine the optimal number of clusters (k).




                   TABLE 15.4     ANOVA TABLE FOR THE 22 SELECTED WASTE GROUPS (CLUSTERS)

                                       SSA             DEGREES      SSE           DEGREES
                                       (BETWEEN 22     OF           (WITHIN 22    OF
                   ATTRIBUTE           CLUSTERS)       FREEDOM      CLUSTERS)     FREEDOM      F STATISTIC

                   BIOMEAN                 63.911           21          0.089        43        1463.290
                   BIOSTD                  63.113           21          0.887        43          145.732

                   CDMEAN                  63.817           21          0.183        43          715.906

                   CDSTD                   63.780           21          0.220        43          593.930
                   FABRICMEAN              63.251           21          0.749        43          173.031

                   FABRICSTD               63.283           21          0.717        43          180.723
                   FOODMEAN                63.759           21          0.241        43          540.976

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