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Table 5 Power to detect at least one LZ in the true cluster.

From: Detection of clusters of a rare disease over a large territory: performance of 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 0.04 0.07 0.05 0.22 0.21 0.34 0.83 0.82 0.80
  Scan-e0 0.03 0.02 0.05 0.19 0.19 0.31 0.81 0.81 0.76
  FleX 0.04 0.07 0.07 0.17 0.19 0.28 0.76 0.72 0.72
  GA-1 0.02 0.05 0.02 0.24 0.23 0.36 0.85 0.86 0.80
  Double 0.03 0.06 0.05 0.17 0.16 0.32 0.80 0.76 0.74
  Mlink 0.11 0.13 0.11 0.34 0.34 0.50 0.90 0.91 0.88
RR = 2.0 Scan-c 0.38 0.41 0.44 0.94 0.92 1.00 1.00 1.00 1.00
  Scan-e0 0.43 0.39 0.46 0.94 0.94 0.98 1.00 1.00 1.00
  FleX 0.44 0.54 0.47 0.92 0.91 0.97 1.00 1.00 1.00
  GA-1 0.25 0.37 0.34 0.94 0.92 0.99 1.00 1.00 1.00
  Double 0.38 0.36 0.42 0.91 0.88 0.98 1.00 1.00 1.00
  Mlink 0.59 0.57 0.58 0.96 0.96 0.99 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 0.95 0.99 1.00 1.00 1.00 1.00 1.00 1.00
  FleX 0.98 0.99 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 0.96 0.98 1.00 1.00 1.00 1.00 1.00 1.00
  Mlink 0.99 0.99 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  1. Scan-c: circular scan method, Scan-e 0: 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 the cluster (number of living zones); RR: relative risk in the true cluster. Results based on 250 Monte Carlo replications.
  2. 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.