Table 4.
Usual power of the cluster detection methods
| "Small Clusters"1 | "Moderate Clusters"1 | "Large Clusters"1 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| #1 | #2 | #3 | #4 | #5 | #6 | #7 | #8 | #9 | ||
| Linear | U-Shaped | Compact | Linear | U-Shaped | Compact | Linear | U-Shaped | Compact | ||
| No LZ = 6 | No. LZ = 10 | No. LZ = 8 | No. LZ = 7 | No. LZ = 7 | No. LZ = 11 | No. LZ = 12 | No. LZ = 16 | No. LZ = 13 | ||
| RR = 1.5 | Scan-c | 0.18 | 0.16 | 0.14 | 0.30 | 0.32 | 0.40 | 0.84 | 0.85 | 0.83 |
| Scan-e0 | 0.11 | 0.11 | 0.11 | 0.26 | 0.26 | 0.36 | 0.83 | 0.83 | 0.79 | |
| FleX | 0.12 | 0.15 | 0.16 | 0.25 | 0.29 | 0.36 | 0.78 | 0.74 | 0.76 | |
| GA-1 | 0.14 | 0.11 | 0.10 | 0.33 | 0.30 | 0.44 | 0.87 | 0.87 | 0.83 | |
| Double | 0.14 | 0.13 | 0.13 | 0.26 | 0.25 | 0.39 | 0.82 | 0.79 | 0.78 | |
| Mlink | 0.65 | 0.60 | 0.60 | 0.71 | 0.73 | 0.79 | 0.95 | 0.96 | 0.96 | |
| RR = 2.0 | Scan-c | 0.46 | 0.49 | 0.52 | 0.94 | 0.96 | 1.00 | 1.00 | 1.00 | 1.00 |
| Scan-e0 | 0.51 | 0.51 | 0.50 | 0.95 | 0.95 | 0.98 | 1.00 | 1.00 | 1.00 | |
| FleX | 0.52 | 0.57 | 0.52 | 0.93 | 0.92 | 0.97 | 1.00 | 1.00 | 1.00 | |
| GA-1 | 0.32 | 0.41 | 0.43 | 0.95 | 0.95 | 1.00 | 1.00 | 1.00 | 1.00 | |
| Double | 0.44 | 0.42 | 0.48 | 0.92 | 0.90 | 0.98 | 1.00 | 1.00 | 1.00 | |
| Mlink | 0.83 | 0.82 | 0.85 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | |
| RR = 3.0 | Scan-c | 0.97 | 0.99 | 0.99 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
| Scan-e0 | 0.99 | 0.99 | 0.99 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | |
| FleX | 0.98 | 1.00 | 0.99 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | |
| GA-1 | 0.92 | 0.98 | 0.98 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | |
| Double | 0.98 | 0.97 | 0.99 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | |
| Mlink | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | |
Scan-c: circular scan method, Scan-e0: standard elliptic scan method, FleX: unrestricted flexible scan method, GA-1: strongly penalized genetic algorithm, Double and Mlink: dynamic minimum spanning tree method with double and maximum link connections, respectively. No. LZ: size of living zones in the cluster (number of living zones); RR: relative risk in the true cluster. Results based on 250 Monte Carlo replications.
1 "small", "moderate" and "large" clusters are clusters with about 20, 45 and 115 cases of childhood acute leukemia over the period 1990-2006, respectively.