Table 2 Multinomial model: simulation results for the true cluster model (B) and alternative hypothesis (1) using elliptical windows
From: Optimizing the maximum reported cluster size for the multinomial-based spatial scan statistic
| Â | Â | Maximum reported cluster size (MRCS) | Default setting | |||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1% | 2% | 3% | 4% | 5% | 6% | 8% | 10% | 12% | 15% | 20% | 25% | 30% | 35% | 40% | 45% | 50% | Overall | |||
SCIC1 | Freqa | 0 | 2 | 0 | 9 | 32 | 61 | 547 | 123 | 85 | 39 | 20 | 4 | 3 | 1 | 0 | 0 | 1 | 927 | 927 |
Senb | NA | 0.200 | NA | 0.444 | 0.556 | 0.695 | 0.897 | 0.927 | 0.972 | 0.949 | 0.890 | 0.850 | 0.933 | 0.000 | NA | NA | 1.000 | 0.878 | 0.888 | |
PPVc | NA | 1.000 | NA | 1.000 | 0.927 | 0.939 | 0.965 | 0.773 | 0.655 | 0.519 | 0.356 | 0.237 | 0.254 | 0.000 | NA | NA | 0.088 | 0.869 | 0.803 | |
Misd | NA | 0.058 | NA | 0.040 | 0.035 | 0.027 | 0.011 | 0.026 | 0.043 | 0.071 | 0.133 | 0.210 | 0.208 | 0.406 | NA | NA | 0.754 | 0.026 | 0.044 | |
SCIC2 | Freq | 0 | 2 | 0 | 13 | 32 | 66 | 521 | 115 | 86 | 39 | 24 | 8 | 10 | 2 | 4 | 2 | 3 | 927 | 927 |
Sen | NA | 0.200 | NA | 0.538 | 0.594 | 0.694 | 0.899 | 0.920 | 0.972 | 0.959 | 0.892 | 0.900 | 0.860 | 0.500 | 0.800 | 1.000 | 0.933 | 0.878 | 0.888 | |
PPV | NA | 1.000 | NA | 0.981 | 0.947 | 0.933 | 0.967 | 0.770 | 0.649 | 0.513 | 0.339 | 0.233 | 0.195 | 0.081 | 0.126 | 0.132 | 0.105 | 0.850 | 0.803 | |
Mis | NA | 0.058 | NA | 0.035 | 0.032 | 0.027 | 0.010 | 0.027 | 0.044 | 0.074 | 0.142 | 0.223 | 0.278 | 0.391 | 0.420 | 0.478 | 0.594 | 0.034 | 0.044 | |
Elbow | Freq | 0 | 1 | 2 | 24 | 45 | 69 | 531 | 117 | 80 | 27 | 20 | 5 | 4 | 1 | 1 | 0 | 0 | 927 | 927 |
Sen | NA | 0.200 | 0.800 | 0.692 | 0.667 | 0.707 | 0.898 | 0.916 | 0.968 | 0.956 | 0.850 | 0.920 | 0.850 | 0.000 | 0.600 | NA | NA | 0.874 | 0.888 | |
PPV | NA | 1.000 | 1.000 | 0.976 | 0.944 | 0.928 | 0.958 | 0.764 | 0.651 | 0.501 | 0.282 | 0.216 | 0.199 | 0.000 | 0.094 | NA | NA | 0.868 | 0.803 | |
Mis | NA | 0.058 | 0.014 | 0.024 | 0.027 | 0.027 | 0.958 | 0.028 | 0.044 | 0.079 | 0.174 | 0.249 | 0.272 | 0.406 | 0.449 | NA | NA | 0.027 | 0.044 | |
MCS-P | Freq | 0 | 0 | 3 | 25 | 49 | 60 | 486 | 129 | 77 | 56 | 27 | 5 | 5 | 3 | 2 | 0 | 0 | 927 | 927 |
Sen | NA | NA | 0.333 | 0.576 | 0.624 | 0.677 | 0.893 | 0.929 | 0.977 | 0.971 | 0.933 | 0.880 | 1.000 | 0.667 | 1.000 | NA | NA | 0.872 | 0.888 | |
PPV | NA | NA | 0.333 | 0.939 | 0.861 | 0.916 | 0.973 | 0.787 | 0.679 | 0.555 | 0.411 | 0.285 | 0.271 | 0.145 | 0.192 | NA | NA | 0.856 | 0.803 | |
Mis | NA | NA | 0.068 | 0.035 | 0.034 | 0.029 | 0.010 | 0.023 | 0.036 | 0.059 | 0.104 | 0.168 | 0.197 | 0.309 | 0.304 | NA | NA | 0.026 | 0.044 | |
MCHS-P | Freq | 0 | 0 | 2 | 19 | 44 | 60 | 484 | 131 | 80 | 58 | 32 | 6 | 6 | 3 | 2 | 0 | 0 | 927 | 927 |
Sen | NA | NA | 0.800 | 0.674 | 0.677 | 0.690 | 0.895 | 0.919 | 0.975 | 0.972 | 0.925 | 0.867 | 0.967 | 0.667 | 1.000 | NA | NA | 0.882 | 0.888 | |
PPV | NA | NA | 1.000 | 1.000 | 0.910 | 0.910 | 0.968 | 0.770 | 0.663 | 0.549 | 0.390 | 0.273 | 0.257 | 0.145 | 0.192 | NA | NA | 0.848 | 0.803 | |
Mis | NA | NA | 0.014 | 0.024 | 0.029 | 0.029 | 0.010 | 0.027 | 0.040 | 0.061 | 0.115 | 0.179 | 0.208 | 0.309 | 0.304 | NA | NA | 0.028 | 0.044 | |