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Table 1 Characteristics of selected Gamma distributions with mode = 1.

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

α β Standard deviation Mode Mean Median 95% prior interval
1.46 0.46 2.63 1.00 3.17 2.49 (0.22, 10.0)
2.17 1.17 1.26 1.00 1.85 1.58 (0.25, 5.0)
2.68 1.68 0.97 1.00 1.60 1.40 (0.29, 4.0)
3.84 2.84 0.69 1.00 1.35 1.24 (0.36, 3.0)
5.23 4.23 0.54 1.00 1.24 1.16 (0.41, 2.5)
8.64 7.64 0.38 1.00 1.13 1.09 (0.51, 2.0)
12.92 11.92 0.30 1.00 1.08 1.06 (0.58, 1.75)
24.04 23.04 0.21 1.00 1.04 1.03 (0.67, 1.5)
77.93 76.93 0.11 1.00 1.01 1.01 (0.80, 1.25)
  1. Mode, Mean, Median and 95% prior interval for the SIR. Priors used in this paper are in bold.