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Table 2 Estimated α-levels for the Gumbel approximation for different parameters, corresponding to five nominal α-levels.

From: Gumbel based p-value approximations for spatial scan statistics

      Nominal alpha
Number of cases Maximum circle size Region Probability Model Number of Monte Carlo replicates 0.00001 0.0001 0.001 0.01 0.05
6 50% NE counties Poisson 99 0.000003 0.00004 0.0006 0.008 0.051
     999 0.000001 0.00002 0.0004 0.007 0.048
     9999 0.000001 0.00002 0.0004 0.007 0.047
600 50% NE counties Poisson 99 0.000013 0.00012 0.0012 0.011 0.054
     999 0.000006 0.00008 0.0009 0.010 0.051
     9999 0.000006 0.00007 0.0008 0.010 0.050
600 50% NE counties Bernoulli 99 0.000014 0.00013 0.0012 0.011 0.053
     999 0.000007 0.00008 0.0009 0.010 0.050
     9999 0.000007 0.00008 0.0008 0.010 0.047
600 50% US 3 digit zip codes Poisson 99 0.000014 0.00013 0.0012 0.011 0.054
     999 0.000007 0.00008 0.0009 0.010 0.052
     9999 0.000006 0.00008 0.0009 0.010 0.051
600 1 county NE counties Poisson 99 0.000033 0.00022 0.0016 0.012 0.053
     999 0.000020 0.00016 0.0012 0.011 0.051
     9999 0.000018 0.00015 0.0018 0.011 0.050
6000 50% NE counties Poisson 99 0.000013 0.00012 0.0011 0.011 0.053
     999 0.000007 0.00008 0.0009 0.010 0.051
     9999 0.000006 0.00007 0.0008 0.010 0.050
60000 50% NE counties Poisson 99 0.000013 0.00012 0.0011 0.011 0.054
     999 0.000006 0.00007 0.0009 0.010 0.051
     9999 0.000006 0.00007 0.0008 0.009 0.050