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Table 1 Regions detected as the most likely cluster by three procedures. Regions detected as the most likely cluster by the circular scan, the flexible scan and Duczmal and Assunção's scan, with the maximum length of cluster set to be K = 15 for the simulated random sample from the cluster model C where the hot spot cluster is assumed to be the set of connected four regions {14, 15, 26, 27} with the assumed relative risk θ = 3.0. For details, see text.

From: A flexibly shaped spatial scan statistic for detecting clusters

region no. population observed no. cases expected no. cases relative risk estimated (true) Log likelihood ratio (LLR) and estimated relative risk for the most likely cluster
      Circular Flexible Duczmal et al.
14 319,687 14 3.794 3.69 (3.0) * * *
15 529,485 21 6.283 3.34 (3.0) * * *
      LLR = 20.1   
      = 3.47   
26 139,077 6 1.650 3.64 (3.0)   * *
27 165,564 6 1.964 3.05 (3.0)   * *
33 105,899 4 1.257 3.18 (1.0)   * *
       LLR = 29.7  
       = 3.41  
24 466,347 8 5.534 1.44 (1.0)    *
31 197,677 3 2.346 1.27 (1.0)    *
32 349,050 5 4.142 1.20 (1.0)    *
48 58,635 1 0.696 1.43 (1.0)    *
54 3,808 1 0.045 22.12(1.0)    *
69 119,575 3 1.419 2.11 (1.0)    *
77 177,742 5 2.109 2.37 (1.0)    *
78 125,127 2 1.485 1.34 (1.0)    *
90 194,866 5 2.312 2.16 (1.0)    *
110 21,535 1 0.256 3.91 (1.0)    *
        LLR = 31.8
        = 2.41