CLUSTER ANALYSIS
1980 UCR For Moderate Sized Cities


*---------------------------------------------------------*
| Average Linkage Cluster Analysis.                       |
| Analysis of a subset of the 1980 Uniform Crime Report   |
| data base.  Only cities with populations between 100,000|
| and 249,999 are used.  The largest of these per state is|
| selected for clustering.  Reported crimes are           |
| standardized to total offenses for each city.           |
*---------------------------------------------------------*;
Options PS=55 LS=90 PageNo=1 NoDate
        FORMCHAR='|----|+|---+=|-/\<>*';

GOptions
   CText=Black HText=1 FText=SwissX
   CTitle=Black HTitle=1 FTitle=SwissX
   CBack=White Colors=(Black) NoPrompt;

%INCLUDE dendro;

proc format;
value state
1="ALABAMA"         2="ARIZONA"           3="ARKANSAS"
4="CALIFORNIA"      5="COLORADO"          6="CONNECTICUT"
7="DELAWARE"        8="WASHINGTON, D.C."  9="FLORIDA"
10="GEORGIA"       11="IDAHO"            12="ILLINOIS"
13="INDIANA"       14="IOWA"             15="KANSAS"
16="KENTUCKY"      17="LOUISIANA"        18="MAINE"
19="MARYLAND"      20="MASSACHUSETTS"    21="MICHIGAN"
22="MINNESOTA"     23="MISSISSIPPI"      24="MISSOURI"
25="MONTANA"       26="NEBRASKA"         27="NEVADA"
28="NEW HAMPSHIRE" 29="NEW JERSEY"       30="NEW MEXICO"
31="NEW YORK"      32="NORTH CAROLINA"   33="NORTH DAKOTA"
34="OHIO"          35="OKLAHOMA"         36="OREGON"
37="PENNSYLVANIA"  38="RHODE ISLAND"     39="SOUTH CAROLINA"
40="SOUTH DAKOTA"  41="TENNESSEE"        42="TEXAS"
43="UTAH"          44="VERMONT"          45="VIRGINIA"
46="WASHINGTON"    47="WEST VIRGINIA"    48="WISCONSIN"
49="WYOMING"       50="ALASKA"           51="HAWAII";
run;

title1 'Reported Offenses from the 1980 Uniform Crime Report';
title2 'for Moderate Sized Cities';
data crime;
 input state division citysize
       murder manslght rape robbery assault burglary larceny motor total;
 array crimes{8} murder manslght rape robbery assault burglary larceny motor;
 do i=1 to 8; /* standardize the reported crimes */
  crimes{i}=crimes{i}/total*100;
 end;
 drop i;
 label manslght='manslaughter';
 format state state.;
datalines;
  1 6 58040 54  0 144  956 2270 7130 10189 1094 21837
  1 6 58730 37  1  58  306 1015 3671  7597  663 13348
  1 6 41840 28  0  69  276 1781 4161  7491  827 14633
  2 8 56210 10  0  62  193 1273 2773  7947  567 12825
  2 8 88480  7  0  76  199 1002 2602  7196  479 11561
  3 7 50240 43  0 189  792 2106 5236  9342  908 18616
  4 9  7300 10  0  68  605 1673 3206  7866  944 14372
  4 9 32400  2  1  55  156 1370 2508  5025  478  9595
  4 9 18930  6  0  27  117 1256 2346  5005  464  9221
  4 9 32480 49  1 193 1232 1788 6922 13341 2174 25700
  4 9  4430 21  0  79  512  529 4212  7866 1167 14386
  4 9 34300  2  0  39  293  598 2596  3680  941  8149
  4 9 69170 27  0  90  794 1215 3322  5591 1179 12218
  4 9 89460  6  0  65  333  588 2091  3676  916  7675
  4 9  1860 19  0 112  622 1680 5996  8290 1567 18286
  4 9 32590  2  0  60  200  686 2001  4014  571  7534
  4 9 33250  6  0  76  332 1029 3151  5339  690 10623
  4 9 41780  7  0  59  204  736 3448  5497  851 10802
  4 9 80300 26  0  94  815 1623 6085  9858 1407 19908
  4 9 76130 22  0 125  524 2915 4609  8192 1075 17462
  4 9 79660 35  2 101  915 1748 4599  8322 1574 17296
  4 9 86500 42  0  80  845 2099 4947  8503 1414 17930
  4 9 87330  5  0  28  120  485 1157  4873  462  7130
  4 9 58080 15  1  68  172 1591 2205  6035  467 10554
  4 9 68010 15  0  75  540  908 2585  4160  985  9268
  5 8  3900 10  0  95  351 2256 3408  6804  599 13523
  5 8 18350 14  0 151  405 1213 5067  9713  948 17511
  5 8 46920  2  0  38  183 1274 2055  5787  489  9828
  5 8 73800  3  1  55  122 1488 2082  4629  318  8698
  6 1 10240 22  0  40  841 4221 4661  7637 1891 19313
  6 0 38170 46  0 119 2061 4037 6056  9019 5173 26511
  6 1 62560 18  0  98 1500  894 4910  8756 2252 18428
  6 1 86060  5  1  13  279  653 2542  3593  816  7902
  6 1 93520  8  0  17  266 1380 2362  4017  887  8937
  9 5 31210 44  1  94 1285 1681 7117 10288 1659 22169
  9 5 40610 12  1  58  584 1013 3677  7077  875 13297
  9 5 39510 16  0  25  480 1519 2361  5976  965 11342
  9 5 67300 17  0 190  742 1623 5264  9022  896 17754
  9 5 79160 22  0 155  735 4640 5863 11931  650 23996
 10 5 52200 16  1  52  422 1057 2908  5169  635 10260
 10 5 80760 29  0 177  599 2628 3708  8669  586 16396
 10 5 18580 26  9  87  388  543 3093  4537  744  9427
 11 8  8970  2  2  45  138 1091 2381  5147  391  9197
 12 3 69990 13  3  62  353 4551 3458  6840  364 15644
 12 3 76680 10  1  70  492 2689 4187  6769  484 14702
 13 3 31550 13  0  83  583 1392 3419  9860  805 16155
 13 3 33440 85  0 263 1032 2280 4590  3602 2038 13890
 13 3 84080 18  2  79  464 1452 3752  6425  472 12664
 13 3 28540 12  0  52  383  901 2663  5336  592  9939
 14 4 14370  1  0  19  114 1776 2023  6798  462 11193
 14 4 23060 13  0 101  495 1221 3824 13328 1125 20107
 14 4 21730  4  0  38  344 1473 2580  4770  357  9566
 15 4 89410 15  0  66  193 1219 2943  5552  355 10343
 15 4 44350 36  0 164  843 2707 5710  8041 1357 18858
 16 6 49290 11  0  69  341  949 3859  8415  788 14432
 17 7 82770 48  0 108  473 1568 5500 11003  947 19647
 17 7  5220 27  4 136  640 4799 7786 14004 1542 28938
 20 1 85600 11  0 152  354 1651 4079  5798 2418 14463
 20 1 99130  6  0  59  605 1105 4294  5446 2069 13584
 21 3 30320 34 12 159  729 4628 6052 11089  986 23689
 21 3 47510  4  0  53  216 1632 2534  5881  365 10685
 21 3 35240 28  1 188  529 2983 4437  9275  686 18127
 21 3 86385  1  5   2   37  537  704  3732  519  5537
 21 3 93020  7  3  44  138 1418 1844  6919 1557 11930
 21 3  2170  4  1  29  112 1084 1882  5908  319  9339
 21 3 50520  1  2  10   67  482 1077  3358  526  5523
 23 6 43030 42  0 103  544 1908 5644  8381 1023 17645
 24 4 85660  6  0  63  112  353 3488  9035  522 13579
 24 4 42160  6  0  23  143 1033 1794  4515  428  7942
 26 4 49700  6  0  57   75 1081 2589  7816  377 12001
 27 8 75050 16  0  86  480 1226 2897  5520  733 10958
 29 2 43760 42  1  96 1741 2467 6880  6143 3582 20952
 29 2 69340 26  0  36  926 3224 4958  5065 2180 16415
 29 2 26670  8  0  81  820 2305 2757  4163 1546 11680
 31 2   650  4  0  35  222  596 1655  2187  241  4940
 31 2  1690  0  0  10   43  335  577  1832  223  3020
 31 2 76550 27  0 125 1182 6458 9051 15465 1543 33851
 31 2 87830 12  0  71  722 2015 4739  7235  754 15548
 31 2 99550  7  1  34  777  878 3565  5413 1512 12187
 32 5 98420 17  1  84  320 3422 3467  7343  640 15294
 32 5 36150 22  0  47  295 2224 3082  7711  517 13898
 32 5 74220 12  0  64  260  966 2378  7068  451 11199
 34 3 99690 28  0  57  503  728 3160  4667  719  9862
 34 3 21870 76  1 165 2175 6153 8036 13953 1210 31769
 34 3   480 25  2 178  586 3827 3740 12204 1294 21856
 36 9 28270  2  0  42  207  785 2304  7478  397 11215
 37 2 27920 11  0  40  284  326 1158  2670  445  4934
 37 2  1190  5  0  21  215  417 1754  3574  274  6260
 38 1 73720 15  0  74  711 2071 3984  5059 3827 15741
 41 6 15240 26  0  64  366 2223 3292  9677 1248 16896
 41 6 45870 21  0  91  528 1053 4374  5193 1509 12769
 42 7 33360  4  0  29   97  627 1876  3911  316  6860
 42 7 42680  4  1  33  104 1626 2060  5045  657  9530
 42 7 69190 10  0  92  203 1253 2216  3875  969  8618
 42 7  5660 17  0 116  325 1499 3545  5718  641 11861
 42 7 51660 28  2 121  224 1798 3798  7724  770 14465
 42 7 92230 17  0  55  219 1418 2523  5796  365 10393
 42 7 19640 34  0 158  489 2070 6157 10232 1374 20514
 42 7  1510 17  0  48  186 1467 2705  5730  524 10677
 42 7  2720  7  0  72  196 1104 2434  7232  869 11914
 43 8 79530 16  0 140  528 2382 5174 11437 1343 21020
 45 5  2740  9  0  56  376 1075 2150  6041  646 10353
 45 5   960  7  0  62  528 1020 2607  5402  638 10264
 45 5 15510  8  1  51  122  347 1401  2625  238  4793
 45 5 37610  9  1  82  203  639 1788  5059  328  8109
 45 5 63130 23  0  83  372 1259 2732  5048  477  9994
 45 5 72970 25  1  60  305  871 1527  3864  271  6924
 45 5 75550 57  0 157 1130 2150 6601 11231 1231 22557
 46 9 87850 13  0 165  569 1931 5115  9102  895 17790
 46 9 85450 11  0 127  409 1521 4110 10278  869 17325
 48 3 52470  4  0  76  244 1136 3646 10125  590 15821
 50 9  1900 15  0 117  296 1581 2611  7322 1055 12997
;

proc sort;
 by state citysize;
run;

 /* Now keep the largest city from each state */
data crime;
 set crime;
 by state;
 if first.state;
 drop citysize;
run;

proc print;
format murder manslght rape robbery assault burglary larceny motor 6.2;
run;

 /* Note: These data are Compositional so this may not be */
 /*       the best display for these data.                */
proc princomp data=crime out=crimcomp;
 var murder manslght rape robbery assault burglary larceny motor;
run;

proc plot data=crimcomp;
 plot prin1*prin2=state;
 plot prin1*prin2=division;
run; quit;

proc cluster data=crimcomp method=average outtree=TREE;
 var murder manslght rape robbery assault burglary larceny motor;
 id state;
 copy division prin1 prin2;
run;

proc tree data=TREE;
 id state;
run;

%dendro;

proc tree data=TREE noprint ncl=4 out=outclus;
 copy state division prin1 prin2;
run;

proc plot data=outclus;
 plot prin1*prin2=cluster;
run; quit;

proc freq data=outclus;
 tables division*cluster;
run;

Reported Offenses from the 1980 Uniform Crime Report 1 for Moderate Sized Cities

                      D             M                           B
                      I             A             R      A      U      L
                      V      M      N             O      S      R      A
       S              I      U      S             B      S      G      R      M   T
       T              S      R      L      R      B      A      L      C      O   O
     O A              I      D      G      A      E      U      A      E      T   T
     B T              O      E      H      P      R      L      R      N      O   A
     S E              N      R      T      E      Y      T      Y      Y      R   L

     1 ALABAMA        6   0.19   0.00   0.47   1.89  12.17  28.44  51.19   5.65 14633
     2 ARIZONA        8   0.08   0.00   0.48   1.50   9.93  21.62  61.96   4.42 12825
     3 ARKANSAS       7   0.23   0.00   1.02   4.25  11.31  28.13  50.18   4.88 18616
     4 CALIFORNIA     9   0.10   0.00   0.61   3.40   9.19  32.79  45.34   8.57 18286
     5 COLORADO       8   0.07   0.00   0.70   2.60  16.68  25.20  50.31   4.43 13523
     6 CONNECTICUT    1   0.11   0.00   0.21   4.35  21.86  24.13  39.54   9.79 19313
     7 FLORIDA        5   0.20   0.00   0.42   5.80   7.58  32.10  46.41   7.48 22169
     8 GEORGIA        5   0.28   0.10   0.92   4.12   5.76  32.81  48.13   7.89  9427
     9 IDAHO          8   0.02   0.02   0.49   1.50  11.86  25.89  55.96   4.25  9197
    10 ILLINOIS       3   0.08   0.02   0.40   2.26  29.09  22.10  43.72   2.33 15644
    11 INDIANA        3   0.12   0.00   0.52   3.85   9.07  26.79  53.69   5.96  9939
    12 IOWA           4   0.01   0.00   0.17   1.02  15.87  18.07  60.73   4.13 11193
    13 KANSAS         4   0.19   0.00   0.87   4.47  14.35  30.28  42.64   7.20 18858
    14 KENTUCKY       6   0.08   0.00   0.48   2.36   6.58  26.74  58.31   5.46 14432
    15 LOUISIANA      7   0.09   0.01   0.47   2.21  16.58  26.91  48.39   5.33 28938
    16 MASSACHUSETTS  1   0.08   0.00   1.05   2.45  11.42  28.20  40.09  16.72 14463
    17 MICHIGAN       3   0.04   0.01   0.31   1.20  11.61  20.15  63.26   3.42  9339
    18 MISSISSIPPI    6   0.24   0.00   0.58   3.08  10.81  31.99  47.50   5.80 17645
    19 MISSOURI       4   0.08   0.00   0.29   1.80  13.01  22.59  56.85   5.39  7942
    20 NEBRASKA       4   0.05   0.00   0.47   0.62   9.01  21.57  65.13   3.14 12001
    21 NEVADA         8   0.15   0.00   0.78   4.38  11.19  26.44  50.37   6.69 10958
    22 NEW JERSEY     2   0.07   0.00   0.69   7.02  19.73  23.60  35.64  13.24 11680
    23 NEW YORK       2   0.08   0.00   0.71   4.49  12.06  33.50  44.27   4.88  4940
    24 NORTH CAROLINA 5   0.16   0.00   0.34   2.12  16.00  22.18  55.48   3.72 13898
    25 OHIO           3   0.11   0.01   0.81   2.68  17.51  17.11  55.84   5.92 21856
    26 OREGON         9   0.02   0.00   0.37   1.85   7.00  20.54  66.68   3.54 11215
    27 PENNSYLVANIA   2   0.08   0.00   0.34   3.43   6.66  28.02  57.09   4.38  6260
    28 RHODE ISLAND   1   0.10   0.00   0.47   4.52  13.16  25.31  32.14  24.31 15741
    29 TENNESSEE      6   0.15   0.00   0.38   2.17  13.16  19.48  57.27   7.39 16896
    30 TEXAS          7   0.16   0.00   0.45   1.74  13.74  25.33  53.67   4.91 10677
    31 UTAH           8   0.08   0.00   0.67   2.51  11.33  24.61  54.41   6.39 21020
    32 VIRGINIA       5   0.07   0.00   0.60   5.14   9.94  25.40  52.63   6.22 10264
    33 WASHINGTON     9   0.06   0.00   0.73   2.36   8.78  23.72  59.32   5.02 17325
    34 WISCONSIN      3   0.03   0.00   0.48   1.54   7.18  23.05  64.00   3.73 15821
    35 ALASKA         9   0.12   0.00   0.90   2.28  12.16  20.09  56.34   8.12 12997

Reported Offenses from the 1980 Uniform Crime Report 2 for Moderate Sized Cities

                               Principal Component Analysis
      35 Observations
       8 Variables

                                    Simple Statistics
                       MURDER          MANSLGHT              RAPE           ROBBERY

       Mean      0.1076145721      0.0049881545      0.5621953136       2.942254389
       StD       0.0652702637      0.0167105105      0.2240257294       1.461281283


                      ASSAULT          BURGLARY           LARCENY             MOTOR

       Mean       12.38104338       25.28301370       52.12859163       6.590298858
       StD         4.76843157        4.31860095        8.37687673       4.167565264

                                    Correlation Matrix
                    MURDER      MANSLGHT          RAPE       ROBBERY

    MURDER          1.0000        0.3586        0.3700        0.3849
    MANSLGHT        0.3586        1.0000        0.2151        0.0593      manslaughter
    RAPE            0.3700        0.2151        1.0000        0.3421
    ROBBERY         0.3849        0.0593        0.3421        1.0000
    ASSAULT         -.0727        -.0915        -.1588        0.0550
    BURGLARY        0.5307        0.2422        0.3518        0.5099
    LARCENY         -.3645        -.0807        -.3086        -.7132
    MOTOR           0.0939        -.0261        0.2571        0.4670


                   ASSAULT      BURGLARY       LARCENY         MOTOR

    MURDER          -.0727        0.5307        -.3645        0.0939
    MANSLGHT        -.0915        0.2422        -.0807        -.0261      manslaughter
    RAPE            -.1588        0.3518        -.3086        0.2571
    ROBBERY         0.0550        0.5099        -.7132        0.4670
    ASSAULT         1.0000        -.3308        -.4312        0.0560
    BURGLARY        -.3308        1.0000        -.5169        0.1743
    LARCENY         -.4312        -.5169        1.0000        -.7083
    MOTOR           0.0560        0.1743        -.7083        1.0000

Reported Offenses from the 1980 Uniform Crime Report 3 for Moderate Sized Cities

                               Principal Component Analysis

                          Eigenvalues of the Correlation Matrix

                     Eigenvalue      Difference      Proportion      Cumulative
          PRIN1         3.14860         1.49604        0.393575         0.39358
          PRIN2         1.65257         0.64389        0.206571         0.60015
          PRIN3         1.00867         0.25646        0.126084         0.72623
          PRIN4         0.75221         0.10458        0.094027         0.82026
          PRIN5         0.64764         0.21666        0.080955         0.90121
          PRIN6         0.43097         0.07164        0.053872         0.95508
          PRIN7         0.35934         0.35934        0.044917         1.00000
          PRIN8         0.00000          .             0.000000         1.00000

                                       Eigenvectors
                     PRIN1         PRIN2         PRIN3         PRIN4

    MURDER        0.364885      0.304360      0.318686      -.265371
    MANSLGHT      0.166598      0.387539      0.601778      0.363617      manslaughter
    RAPE          0.329602      0.214877      -.109553      0.624386
    ROBBERY       0.455870      -.142809      -.135013      -.219357
    ASSAULT       0.009959      -.579658      0.614494      -.045291
    BURGLARY      0.413507      0.302600      -.152610      -.430540
    LARCENY       -.482091      0.367808      -.093878      0.067053
    MOTOR         0.345180      -.357433      -.310429      0.409234


                     PRIN5         PRIN6         PRIN7         PRIN8

    MURDER        0.259520      0.713599      0.160105      0.005700
    MANSLGHT      -.522189      -.215098      0.093560      0.001459      manslaughter
    RAPE          0.630643      -.185042      -.104866      0.019564
    ROBBERY       0.016144      -.367348      0.744279      0.127615
    ASSAULT       0.271173      -.116524      -.153996      0.416431
    BURGLARY      -.102993      -.275067      -.547980      0.377147
    LARCENY       0.083711      0.059473      0.270690      0.731559
    MOTOR         -.413336      0.427255      -.058268      0.363957

Reported Offenses from the 1980 Uniform Crime Report 4 for Moderate Sized Cities

                     Plot of PRIN1*PRIN2.  Symbol is value of STATE.

PRIN1 |
      |
    4 +
      |                                                                         G
      |
      |
      |
    3 +
      |  R
      |  N
      |                                K
      |                       M              F
    2 +                                           A
      |
      |                                 N       M
      |                                  C
      |                                  N
    1 +
      |     C
      |
      |                              V
      |                                    IA
    0 +                            L
      |                          C
      |                               AU
      |          I              O       T     P
      |                                        K
   -1 +                            N         W
      |                                    I
      |
      |                           M
      |                                    A
   -2 +
      |                                       W
      |
      |                                  M    N
      |                                     O
   -3 +
      |                    I
      |
      |
      |
   -4 +
      |
      --+---------+---------+---------+---------+---------+---------+---------+---------+-
       -3        -2        -1         0         1         2         3         4         5

                                              PRIN2

NOTE: 1 obs hidden.

Reported Offenses from the 1980 Uniform Crime Report 5 for Moderate Sized Cities

                   Plot of PRIN1*PRIN2.  Symbol is value of DIVISION.

PRIN1 |
      |
    4 +
      |                                                                         5
      |
      |
      |
    3 +
      |  1
      |  2
      |                                4
      |                       1              5
    2 +                                           7
      |
      |                                 2       6
      |                                  9
      |                                  8
    1 +
      |     1
      |
      |                              5
      |                                    36
    0 +                            7
      |                          8
      |                               98
      |          3              3       7     2
      |                                        6
   -1 +                            5         9
      |                                    8
      |
      |                           4
      |                                    8
   -2 +
      |                                       3
      |
      |                                  3    4
      |                                     9
   -3 +
      |                    4
      |
      |
      |
   -4 +
      |
      --+---------+---------+---------+---------+---------+---------+---------+---------+-
       -3        -2        -1         0         1         2         3         4         5

                                              PRIN2

NOTE: 1 obs hidden.

Reported Offenses from the 1980 Uniform Crime Report 6 for Moderate Sized Cities

                             Average Linkage Cluster Analysis

                           Eigenvalues of the Covariance Matrix
                     Eigenvalue      Difference      Proportion      Cumulative

              1         89.2866         61.2471        0.680959         0.68096
              2         28.0396         15.5150        0.213848         0.89481
              3         12.5246         11.3096        0.095521         0.99033
              4          1.2150          1.1653        0.009266         0.99959
              5          0.0497          0.0464        0.000379         0.99997
              6          0.0032          0.0030        0.000025         1.00000
              7          0.0003          0.0003        0.000002         1.00000
              8         -0.0000           .            -.000000         1.00000

               Root-Mean-Square Total-Sample Standard Deviation = 4.048441
               Root-Mean-Square Distance Between Observations   = 16.19376

Reported Offenses from the 1980 Uniform Crime Report 7 for Moderate Sized Cities

                             Average Linkage Cluster Analysis

       Number                                          Frequency   Normalized
         of                                               of New       RMS
      Clusters   ----------Clusters Joined----------     Cluster    Distance    Tie
           34    TENNESSEE          ALASKA                     2    0.107867
           33    KENTUCKY           PENNSYLVANIA               2    0.144354
           32    INDIANA            VIRGINIA                   2    0.145660
           31    ARKANSAS           NEVADA                     2    0.154545
           30    COLORADO           LOUISIANA                  2    0.170416
           29    ARIZONA            MICHIGAN                   2    0.172505
           28    NEBRASKA           WISCONSIN                  2    0.174356
           27    IDAHO              TEXAS                      2    0.191511
           26    CL27               UTAH                       3    0.193593
           25    FLORIDA            GEORGIA                    2    0.195629
           24    ALABAMA            CL31                       3    0.201924
           23    CL28               OREGON                     3    0.208384
           22    MISSOURI           NORTH CAROLINA             2    0.230317
           21    CALIFORNIA         MISSISSIPPI                2    0.245221
           20    CL24               CL32                       5    0.268750
           19    CL21               NEW YORK                   3    0.282627
           18    CL33               WASHINGTON                 3    0.292571
           17    CL29               CL23                       5    0.293175
           16    CL26               CL22                       5    0.293489
           15    CL19               CL25                       5    0.343329
           14    IOWA               OHIO                       2    0.360091
           13    CL16               CL34                       7    0.377602
           12    CONNECTICUT        NEW JERSEY                 2    0.386693
           11    CL20               CL30                       7    0.444895
           10    CL15               KANSAS                     6    0.467479
            9    CL11               CL13                      14    0.498461
            8    CL17               CL18                       8    0.542142
            7    CL9                CL14                      16    0.689465
            6    MASSACHUSETTS      RHODE ISLAND               2    0.722483
            5    CL7                CL8                       24    0.740709
            4    CL12               CL6                        4    0.901118
            3    CL5                CL10                      30    1.006121
            2    CL4                ILLINOIS                   5    1.341690
            1    CL3                CL2                       35    1.483826

Reported Offenses from the 1980 Uniform Crime Report 8 for Moderate Sized Cities

                             Average Linkage Cluster Analysis

                                               STATE
                                     N
                                     O                                         M
                                     R                     P                   A R
                                     T                     E     M         C   S H
                                     H                     N W C I         O N S O
                           L           T             W     N A A S         N E A D
                 A     V C O       M C E         M N I   K S S L S N       N W C E I
               A R   I I O U       I A N       A I E S   E Y H I I E F G   E   H   L
               L K N N R L I       S R N A     R C B C O N L I F S W L E K C J U I L
               A A E D G O S I T   S O E L     I H R O R T V N O S   O O A T E S S I
               B N V I I R I D E U O L S A I O Z I A N E U A G R I Y R R N I R E L N
               A S A A N A A A X T U I S S O H O G S S G C N T N P O I G S C S T A O
               M A D N I D N H A A R N E K W I N A K I O K I O I P R D I A U E T N I
               A S A A A O A O S H I A E A A O A N A N N Y A N A I K A A S T Y S D S
      A   1.5 +XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
      v       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
      e       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
      r       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
      a       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX .
      g  1.25 +XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX .
      e       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX .
              |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX .
      D       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX .
      i       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX .
      s     1 +XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX .
      t       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX XXXXXXX .
      a       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX XXXXXXX .
      n       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX XXX XXX .
      c       |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX XXX XXX .
      e  0.75 +XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX XXX XXX .
              |XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXXXXX XXX XXX .
      B       |XXXXXXXXXXXXXXXXXXXXXXXXXXX XXX XXXXXXXXXXXXXXX XXXXXXXXXXX XXX . . .
      e       |XXXXXXXXXXXXXXXXXXXXXXXXXXX XXX XXXXXXXXXXXXXXX XXXXXXXXXXX XXX . . .
      t       |XXXXXXXXXXXXXXXXXXXXXXXXXXX XXX XXXXXXXXXXXXXXX XXXXXXXXXXX XXX . . .
      w   0.5 +XXXXXXXXXXXXXXXXXXXXXXXXXXX XXX XXXXXXXXX XXXXX XXXXXXXXXXX XXX . . .
      e       |XXXXXXXXXXXXX XXXXXXXXXXXXX XXX XXXXXXXXX XXXXX XXXXXXXXXXX XXX . . .
      e       |XXXXXXXXX XXX XXXXXXXXXXXXX XXX XXXXXXXXX XXXXX XXXXXXXXX . XXX . . .
      n       |XXXXXXXXX XXX XXXXXXXXX XXX XXX XXXXXXXXX XXXXX XXXXXXXXX . . . . . .
              |XXXXXXXXX XXX XXXXXXXXX XXX . . XXXXXXXXX XXXXX XXXXX XXX . . . . . .
      C  0.25 +XXXXXXXXX XXX XXXXX XXX XXX . . XXX XXXXX XXX . XXX . XXX . . . . . .
      l       |XXXXX XXX XXX XXXXX . . XXX . . XXX XXXXX XXX . . . . XXX . . . . . .
      u       |. XXX XXX XXX . . . . . XXX . . XXX XXX . XXX . . . . . . . . . . . .
      s       |. . . . . . . . . . . . XXX . . . . . . . . . . . . . . . . . . . . .
      t       |. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
      e     0 +. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
      r
      s




Reported Offenses from the 1980 Uniform Crime Report 9 for Moderate Sized Cities

                    Plot of PRIN1*PRIN2.  Symbol is value of CLUSTER.

PRIN1 |
    4 +
      |                                                                         2
      |
      |
      |
    3 +
      |  3
      |  3
      |                                2
      |                       3              2
    2 +                                           1
      |
      |                                 2       2
      |                                  2
      |                                  1
    1 +
      |     3
      |
      |                              1
      |                                    11
    0 +                            1
      |                          1
      |                               11
      |          4              1       1     1
      |                                        1
   -1 +                            1         1
      |                                    1
      |
      |                           1
      |                                    1
   -2 +
      |                                       1
      |
      |                                  1    1
      |                                     1
   -3 +
      |                    1
      |
      |
      |
   -4 +
      --+---------+---------+---------+---------+---------+---------+---------+---------+-
       -3        -2        -1         0         1         2         3         4         5

                                              PRIN2

NOTE: 1 obs hidden.


Reported Offenses from the 1980 Uniform Crime Report 10 for Moderate Sized Cities

                               TABLE OF DIVISION BY CLUSTER
                  DIVISION     CLUSTER

                  Frequency|
                  Percent  |
                  Row Pct  |
                  Col Pct  |       1|       2|       3|       4|  Total
                  ---------+--------+--------+--------+--------+
                         1 |      0 |      0 |      3 |      0 |      3
                           |   0.00 |   0.00 |   8.57 |   0.00 |   8.57
                           |   0.00 |   0.00 | 100.00 |   0.00 |
                           |   0.00 |   0.00 |  75.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                         2 |      1 |      1 |      1 |      0 |      3
                           |   2.86 |   2.86 |   2.86 |   0.00 |   8.57
                           |  33.33 |  33.33 |  33.33 |   0.00 |
                           |   4.17 |  16.67 |  25.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                         3 |      4 |      0 |      0 |      1 |      5
                           |  11.43 |   0.00 |   0.00 |   2.86 |  14.29
                           |  80.00 |   0.00 |   0.00 |  20.00 |
                           |  16.67 |   0.00 |   0.00 | 100.00 |
                  ---------+--------+--------+--------+--------+
                         4 |      3 |      1 |      0 |      0 |      4
                           |   8.57 |   2.86 |   0.00 |   0.00 |  11.43
                           |  75.00 |  25.00 |   0.00 |   0.00 |
                           |  12.50 |  16.67 |   0.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                         5 |      2 |      2 |      0 |      0 |      4
                           |   5.71 |   5.71 |   0.00 |   0.00 |  11.43
                           |  50.00 |  50.00 |   0.00 |   0.00 |
                           |   8.33 |  33.33 |   0.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                  Total          24        6        4        1       35
                              68.57    17.14    11.43     2.86   100.00
                  (Continued)














Reported Offenses from the 1980 Uniform Crime Report 11 for Moderate Sized Cities

                               TABLE OF DIVISION BY CLUSTER
                  DIVISION     CLUSTER

                  Frequency|
                  Percent  |
                  Row Pct  |
                  Col Pct  |       1|       2|       3|       4|  Total
                  ---------+--------+--------+--------+--------+
                         6 |      3 |      1 |      0 |      0 |      4
                           |   8.57 |   2.86 |   0.00 |   0.00 |  11.43
                           |  75.00 |  25.00 |   0.00 |   0.00 |
                           |  12.50 |  16.67 |   0.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                         7 |      3 |      0 |      0 |      0 |      3
                           |   8.57 |   0.00 |   0.00 |   0.00 |   8.57
                           | 100.00 |   0.00 |   0.00 |   0.00 |
                           |  12.50 |   0.00 |   0.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                         8 |      5 |      0 |      0 |      0 |      5
                           |  14.29 |   0.00 |   0.00 |   0.00 |  14.29
                           | 100.00 |   0.00 |   0.00 |   0.00 |
                           |  20.83 |   0.00 |   0.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                         9 |      3 |      1 |      0 |      0 |      4
                           |   8.57 |   2.86 |   0.00 |   0.00 |  11.43
                           |  75.00 |  25.00 |   0.00 |   0.00 |
                           |  12.50 |  16.67 |   0.00 |   0.00 |
                  ---------+--------+--------+--------+--------+
                  Total          24        6        4        1       35
                              68.57    17.14    11.43     2.86   100.00