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Table 2 Frequentist confidence intervals and p-values adjusted for silent multiple comparisons, Illawarra and Brisbane ABC cancer clusters

From: Bayesian versus frequentist statistical inference for investigating a one-off cancer cluster reported to a health department

  Illawarra, leukaemia observed = 12, expected = 3.49 SIR = 3.44 Brisbane, ABC, breast cancer observed = 10, expected = 1.6 SIR = 6.25
Number of comparisons Confidence interval (p-value) Confidence interval (p-value)
1 1.78, 6.01 (0.00056) 3.00, 11.49 (0.000014)
10 1.30, 7.27 (0.0056) 2.11, 14.10 (0.00014)
100 0.99, 8.40 (0.0548) 1.55, 16.44 (0.0014)
500 0.83, 9.13 (0.2456) 1.27, 17.98 (0.0071)
1000 0.77, 9.44 (0.4309) 1.16, 18.62 (0.0142)
5000 0.65, 10.14 (0.9403) 0.96, 20.08 (0.0689)
10000 0.61, 10.43 (0.9964) 0.89, 20.69 (0.1331)
40000 0.53, 11.0 (>0.9999) 0.76, 21.90 (0.4353)
50000 0.52, 11.1 (>0.9999) 0.74, 22.09 (0.5104)