Table 2. Simulation results of cluster model 1 (10% and 40% of the total cases in the true cluster).
Maximum reported cluster sizes chosen by the Gini coefficient at least once are only shown. Cells most chosen as the optimal maximum size are shaded in gray.
| Maximum reported cluster size | |||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 3 | 4 | 5 | 6 | 8 | 10 | 12 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | Default | |
| Scenario A | |||||||||||||||||
| 200 cases | |||||||||||||||||
| # of OMRCS | 0 | 3 | 0 | 36 | 40 | 109 | 729 | 5 | 36 | 24 | 15 | 2 | 1 | 0 | 0 | 0 | |
| Sensitivity | - | 0.67 | - | 0.65 | 0.64 | 0.77 | 1.00 | 0.80 | 0.99 | 0.99 | 1.00 | 1.00 | 1.00 | - | - | - | 0.96 |
| PPV | - | 1.00 | - | 1.00 | 0.98 | 0.98 | 1.00 | 0.65 | 0.75 | 0.58 | 0.50 | 0.43 | 0.38 | - | - | - | 0.97 |
| 800 cases | |||||||||||||||||
| # of OMRCS | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 134 | 109 | 189 | 3 | 492 | 55 | 18 | |
| Sensitivity | - | - | - | - | - | - | - | - | - | 0.98 | 0.98 | 1.00 | 0.89 | 1.00 | 1.00 | 1.00 | 0.99 |
| PPV | - | - | - | - | - | - | - | - | - | 0.99 | 0.99 | 0.99 | 0.62 | 1.00 | 0.71 | 0.52 | 0.96 |
| Scenario B | |||||||||||||||||
| 200 cases | |||||||||||||||||
| # of OMRCS | 26 | 120 | 17 | 16 | 15 | 31 | 2 | 19 | 20 | 23 | 16 | 9 | 11 | 8 | 11 | 12 | |
| Sensitivity | 0.17 | 0.33 | 0.10 | 0.23 | 0.33 | 0.65 | 0.00 | 0.61 | 0.70 | 0.74 | 0.92 | 1.00 | 0.78 | 0.92 | 0.88 | 0.89 | 0.72 |
| PPV | 0.50 | 0.94 | 0.29 | 0.66 | 1.00 | 0.95 | 0.00 | 0.61 | 0.57 | 0.49 | 0.46 | 0.42 | 0.28 | 0.28 | 0.25 | 0.22 | 0.56 |
| 800 cases | |||||||||||||||||
| # of OMRCS | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 5 | 0 | 0 | 4 | 41 | 85 | 442 | 191 | 231 | |
| Sensitivity | - | - | - | - | - | - | 0.33 | 0.33 | - | - | 0.33 | 0.67 | 0.67 | 0.99 | 1.00 | 1.00 | 0.94 |
| PPV | - | - | - | - | - | - | 1.00 | 1.00 | - | - | 1.00 | 1.00 | 0.86 | 0.99 | 0.68 | 0.51 | 0.82 |
| Scenario C | |||||||||||||||||
| 200 cases | 0 | 9 | 3 | 11 | 14 | 180 | 598 | 13 | 60 | 60 | 28 | 11 | 5 | 3 | 2 | 3 | |
| # of OMRCS | - | 0.41 | 0.33 | 0.52 | 0.36 | 0.67 | 1.00 | 0.69 | 0.94 | 0.97 | 1.00 | 1.00 | 1.00 | 1.00 | 0.83 | 1.00 | 0.90 |
| Sensitivity | - | 1.00 | 0.67 | 1.00 | 0.96 | 0.99 | 1.00 | 0.63 | 0.73 | 0.59 | 0.49 | 0.42 | 0.35 | 0.30 | 0.22 | 0.24 | 0.92 |
| PPV | |||||||||||||||||
| 800 cases | |||||||||||||||||
| # of OMRCS | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 12 | 10 | 94 | 11 | 717 | 111 | 45 | |
| Sensitivity | - | - | - | - | - | - | - | - | - | 0.67 | 0.70 | 0.97 | 0.79 | 1.00 | 1.00 | 1.00 | 0.99 |
| PPV | - | - | - | - | - | - | - | - | - | 1.00 | 0.87 | 0.98 | 0.89 | 1.00 | 0.71 | 0.52 | 0.94 |
| Scenario D | |||||||||||||||||
| 200 cases | |||||||||||||||||
| # of OMRCS | 0 | 23 | 3 | 14 | 15 | 214 | 450 | 26 | 78 | 71 | 45 | 24 | 13 | 8 | 8 | 8 | |
| Sensitivity | - | 0.33 | 0.33 | 0.43 | 0.38 | 0.67 | 0.99 | 0.67 | 0.93 | 0.95 | 0.99 | 0.99 | 1.00 | 1.00 | 0.96 | 0.96 | 0.81 |
| PPV | - | 1.00 | 0.67 | 1.00 | 0.97 | 0.99 | 1.00 | 0.66 | 0.71 | 0.59 | 0.48 | 0.42 | 0.35 | 0.31 | 0.27 | 0.24 | 0.83 |
| 800 cases | |||||||||||||||||
| # of OMRCS | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 7 | 8 | 55 | 16 | 658 | 153 | 103 | |
| Sensitivity | - | - | - | - | - | - | - | - | - | 0.67 | 0.67 | 0.92 | 0.71 | 1.00 | 1.00 | 1.00 | 0.99 |
| PPV | - | - | - | - | - | - | - | - | - | 1.00 | 0.92 | 0.98 | 0.96 | 1.00 | 0.70 | 0.53 | 0.92 |
| Scenario E | |||||||||||||||||
| 200 cases | |||||||||||||||||
| # of OMRCS | 0 | 1 | 0 | 29 | 25 | 130 | 684 | 9 | 47 | 40 | 18 | 5 | 5 | 6 | 1 | 0 | |
| Sensitivity | - | 0.33 | - | 0.59 | 0.57 | 0.71 | 1.00 | 0.67 | 0.95 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | - | 0.92 |
| PPV | - | 1.00 | - | 0.95 | 1.00 | 1.00 | 1.00 | 0.67 | 0.74 | 0.60 | 0.49 | 0.43 | 0.37 | .31 | 0.27 | - | 0.94 |
| 800 cases | |||||||||||||||||
| # of OMRCS | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 36 | 19 | 37 | 4 | 767 | 115 | 22 | |
| Sensitivity | - | - | - | - | - | - | - | - | - | 1.00 | 0.97 | 0.97 | 0.83 | 1.00 | 1.00 | 1.00 | 1.00 |
| PPV | - | - | - | - | - | - | - | - | - | 1.00 | 0.97 | 1.00 | 0.75 | 1.00 | 0.71 | 0.52 | 0.95 |
# of OMRCS, frequency chosen as the optimal maximum reported cluster size by the Gini coefficient among 1000 random data sets; PPV, positive predictive value.