***SAS OUTPUT*** CRIME INCIDENCE IN THE UNITED STATES BY REGION General Linear Models Procedure Class Level Information Class Levels Values REGION 8 1 2 3 4 5 6 7 8 Number of observations in data set = 50 General Linear Models Procedure Dependent Variable: MURDER Sum of Mean Source DF Squares Square F Value Pr > F Model 7 400.13447857 57.16206837 7.38 0.0001 Error 42 325.40732143 7.74779337 Corrected Total 49 725.54180000 R-Square C.V. Root MSE MURDER Mean 0.551497 40.58743 2.7834858 6.8580000 Source DF Type I SS Mean Square F Value Pr > F REGION 7 400.13447857 57.16206837 7.38 0.0001 Source DF Type III SS Mean Square F Value Pr > F REGION 7 400.13447857 57.16206837 7.38 0.0001 General Linear Models Procedure Dependent Variable: RAPE Sum of Mean Source DF Squares Square F Value Pr > F Model 7 755.54289048 107.93469864 2.40 0.0370 Error 42 1890.26430952 45.00629308 Corrected Total 49 2645.80720000 R-Square C.V. Root MSE RAPE Mean 0.285562 42.96025 6.7086730 15.616000 Source DF Type I SS Mean Square F Value Pr > F REGION 7 755.54289048 107.93469864 2.40 0.0370 Source DF Type III SS Mean Square F Value Pr > F REGION 7 755.54289048 107.93469864 2.40 0.0370 General Linear Models Procedure Dependent Variable: ROBBERY Sum of Mean Source DF Squares Square F Value Pr > F Model 7 124546.19526 17792.31361 2.64 0.0234 Error 42 282949.20974 6736.88595 Corrected Total 49 407495.40500 R-Square C.V. Root MSE ROBBERY Mean 0.305638 80.85759 82.078535 101.51000 Source DF Type I SS Mean Square F Value Pr > F REGION 7 124546.19526 17792.31361 2.64 0.0234 Source DF Type III SS Mean Square F Value Pr > F REGION 7 124546.19526 17792.31361 2.64 0.0234 General Linear Models Procedure Dependent Variable: ASSAULT Sum of Mean Source DF Squares Square F Value Pr > F Model 7 87829.715714 12547.102245 3.77 0.0030 Error 42 139878.464286 3330.439626 Corrected Total 49 227708.180000 R-Square C.V. Root MSE ASSAULT Mean 0.385712 42.61554 57.709961 135.42000 Source DF Type I SS Mean Square F Value Pr > F REGION 7 87829.715714 12547.102245 3.77 0.0030 Source DF Type III SS Mean Square F Value Pr > F REGION 7 87829.715714 12547.102245 3.77 0.0030 General Linear Models Procedure Dependent Variable: BURGLARY Sum of Mean Source DF Squares Square F Value Pr > F Model 7 1693851.7679 241978.8240 2.17 0.0572 Error 42 4693638.2321 111753.2912 Corrected Total 49 6387490.0000 R-Square C.V. Root MSE BURGLARY Mean 0.265183 35.91483 334.29522 930.80000 Source DF Type I SS Mean Square F Value Pr > F REGION 7 1693851.7679 241978.8240 2.17 0.0572 Source DF Type III SS Mean Square F Value Pr > F REGION 7 1693851.7679 241978.8240 2.17 0.0572 General Linear Models Procedure Duncan's Multiple Range Test for variable: MURDER NOTE: This test controls the type I comparisonwise error rate, not the experimentwise error rate Alpha= 0.05 df= 42 MSE= 7.747793 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Number of Means 2 3 4 5 6 7 8 Critical Range 3.344 3.517 3.630 3.711 3.773 3.823 3.863 Means with the same letter are not significantly different. Duncan Grouping Mean N REGION A 10.738 8 5 A A 10.300 8 6 B 6.480 5 3 B B 6.350 8 7 B B 6.300 3 2 B B 6.160 5 8 B C B 3.814 7 4 C C 2.500 6 1 General Linear Models Procedure Bonferroni (Dunn) T tests for variable: MURDER NOTE: This test controls the type I experimentwise error rate, but generally has a higher type II error rate than REGWQ. Alpha= 0.05 df= 42 MSE= 7.747793 Critical Value of T= 3.34 Minimum Significant Difference= 5.5284 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Bon Grouping Mean N REGION A 10.738 8 5 A A 10.300 8 6 A B A 6.480 5 3 B A B A 6.350 8 7 B A B A 6.300 3 2 B A B A 6.160 5 8 B B 3.814 7 4 B B 2.500 6 1 General Linear Models Procedure Scheffe's test for variable: MURDER NOTE: This test controls the type I experimentwise error rate but generally has a higher type II error rate than REGWF for all pairwise comparisons Alpha= 0.05 df= 42 MSE= 7.747793 Critical Value of F= 2.23707 Minimum Significant Difference= 6.5579 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Scheffe Grouping Mean N REGION A 10.738 8 5 A B A 10.300 8 6 B A B A C 6.480 5 3 B A C B A C 6.350 8 7 B A C B A C 6.300 3 2 B A C B A C 6.160 5 8 B C B C 3.814 7 4 C C 2.500 6 1 General Linear Models Procedure Duncan's Multiple Range Test for variable: RAPE NOTE: This test controls the type I comparisonwise error rate, not the experimentwise error rate Alpha= 0.05 df= 42 MSE= 45.00629 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Number of Means 2 3 4 5 6 7 8 Critical Range 8.060 8.476 8.748 8.944 9.094 9.213 9.310 Means with the same letter are not significantly different. Duncan Grouping Mean N REGION A 21.800 5 8 A B A 18.788 8 7 B A B A 17.620 5 3 B A B A C 16.675 8 6 B A C B A C 15.988 8 5 B A C B A C 13.233 3 2 B C B C 12.057 7 4 C C 8.000 6 1 General Linear Models Procedure Bonferroni (Dunn) T tests for variable: RAPE NOTE: This test controls the type I experimentwise error rate, but generally has a higher type II error rate than REGWQ. Alpha= 0.05 df= 42 MSE= 45.00629 Critical Value of T= 3.34 Minimum Significant Difference= 13.324 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Bon Grouping Mean N REGION A 21.800 5 8 A B A 18.788 8 7 B A B A 17.620 5 3 B A B A 16.675 8 6 B A B A 15.988 8 5 B A B A 13.233 3 2 B A B A 12.057 7 4 B B 8.000 6 1 General Linear Models Procedure Scheffe's test for variable: RAPE NOTE: This test controls the type I experimentwise error rate but generally has a higher type II error rate than REGWF for all pairwise comparisons Alpha= 0.05 df= 42 MSE= 45.00629 Critical Value of F= 2.23707 Minimum Significant Difference= 15.806 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Scheffe Grouping Mean N REGION A 21.800 5 8 A A 18.788 8 7 A A 17.620 5 3 A A 16.675 8 6 A A 15.988 8 5 A A 13.233 3 2 A A 12.057 7 4 A A 8.000 6 1 General Linear Models Procedure Duncan's Multiple Range Test for variable: ROBBERY NOTE: This test controls the type I comparisonwise error rate, not the experimentwise error rate Alpha= 0.05 df= 42 MSE= 6736.886 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Number of Means 2 3 4 5 6 7 8 Critical Range 98.6 103.7 107.0 109.4 111.3 112.7 113.9 Means with the same letter are not significantly different. Duncan Grouping Mean N REGION A 239.57 3 2 A B A 176.84 5 3 B B C 119.80 8 5 B C B C 107.60 5 8 B C B C 77.71 8 7 B C B C 74.94 8 6 B C B C 67.79 7 4 C C 46.75 6 1 General Linear Models Procedure Bonferroni (Dunn) T tests for variable: ROBBERY NOTE: This test controls the type I experimentwise error rate, but generally has a higher type II error rate than REGWQ. Alpha= 0.05 df= 42 MSE= 6736.886 Critical Value of T= 3.34 Minimum Significant Difference= 163.02 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Bon Grouping Mean N REGION A 239.57 3 2 A B A 176.84 5 3 B A B A 119.80 8 5 B A B A 107.60 5 8 B A B A 77.71 8 7 B B 74.94 8 6 B B 67.79 7 4 B B 46.75 6 1 General Linear Models Procedure Scheffe's test for variable: ROBBERY NOTE: This test controls the type I experimentwise error rate but generally has a higher type II error rate than REGWF for all pairwise comparisons Alpha= 0.05 df= 42 MSE= 6736.886 Critical Value of F= 2.23707 Minimum Significant Difference= 193.38 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Scheffe Grouping Mean N REGION A 239.57 3 2 A A 176.84 5 3 A A 119.80 8 5 A A 107.60 5 8 A A 77.71 8 7 A A 74.94 8 6 A A 67.79 7 4 A A 46.75 6 1 General Linear Models Procedure Duncan's Multiple Range Test for variable: ASSAULT NOTE: This test controls the type I comparisonwise error rate, not the experimentwise error rate Alpha= 0.05 df= 42 MSE= 3330.44 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Number of Means 2 3 4 5 6 7 8 Critical Range 69.34 72.91 75.25 76.94 78.23 79.26 80.09 Means with the same letter are not significantly different. Duncan Grouping Mean N REGION A 202.00 8 5 A A 169.63 8 6 A B A 135.13 8 7 B A B A 135.00 5 8 B A B A 129.67 3 2 B A B A 127.00 5 3 B B 81.43 7 4 B B 74.67 6 1 General Linear Models Procedure Bonferroni (Dunn) T tests for variable: ASSAULT NOTE: This test controls the type I experimentwise error rate, but generally has a higher type II error rate than REGWQ. Alpha= 0.05 df= 42 MSE= 3330.44 Critical Value of T= 3.34 Minimum Significant Difference= 114.62 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Bon Grouping Mean N REGION A 202.00 8 5 A B A 169.63 8 6 B A B A 135.13 8 7 B A B A 135.00 5 8 B A B A 129.67 3 2 B A B A 127.00 5 3 B B 81.43 7 4 B B 74.67 6 1 General Linear Models Procedure Scheffe's test for variable: ASSAULT NOTE: This test controls the type I experimentwise error rate but generally has a higher type II error rate than REGWF for all pairwise comparisons Alpha= 0.05 df= 42 MSE= 3330.44 Critical Value of F= 2.23707 Minimum Significant Difference= 135.96 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Scheffe Grouping Mean N REGION A 202.00 8 5 A A 169.63 8 6 A A 135.13 8 7 A A 135.00 5 8 A A 129.67 3 2 A A 127.00 5 3 A A 81.43 7 4 A A 74.67 6 1 General Linear Models Procedure Duncan's Multiple Range Test for variable: BURGLARY NOTE: This test controls the type I comparisonwise error rate, not the experimentwise error rate Alpha= 0.05 df= 42 MSE= 111753.3 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Number of Means 2 3 4 5 6 7 8 Critical Range 401.7 422.4 435.9 445.7 453.2 459.1 463.9 Means with the same letter are not significantly different. Duncan Grouping Mean N REGION A 1342.6 5 8 A B A 1063.3 8 7 B A B A 1016.3 3 2 B A B A 944.4 8 5 B A B A 917.8 5 3 B B 849.3 6 1 B B 799.0 8 6 B B 662.9 7 4 General Linear Models Procedure Bonferroni (Dunn) T tests for variable: BURGLARY NOTE: This test controls the type I experimentwise error rate, but generally has a higher type II error rate than REGWQ. Alpha= 0.05 df= 42 MSE= 111753.3 Critical Value of T= 3.34 Minimum Significant Difference= 663.96 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Bon Grouping Mean N REGION A 1342.6 5 8 A B A 1063.3 8 7 B A B A 1016.3 3 2 B A B A 944.4 8 5 B A B A 917.8 5 3 B A B A 849.3 6 1 B A B A 799.0 8 6 B B 662.9 7 4 General Linear Models Procedure Scheffe's test for variable: BURGLARY NOTE: This test controls the type I experimentwise error rate but generally has a higher type II error rate than REGWF for all pairwise comparisons Alpha= 0.05 df= 42 MSE= 111753.3 Critical Value of F= 2.23707 Minimum Significant Difference= 787.6 WARNING: Cell sizes are not equal. Harmonic Mean of cell sizes= 5.642317 Means with the same letter are not significantly different. Scheffe Grouping Mean N REGION A 1342.6 5 8 A A 1063.3 8 7 A A 1016.3 3 2 A A 944.4 8 5 A A 917.8 5 3 A A 849.3 6 1 A A 799.0 8 6 A A 662.9 7 4