Actual rejection levels versus expected ones: ordinates are the quantiles of simulated Poisson point patterns whose values are below the value in abscissa. Curves are built from 10,000 simulations of homogenous Poisson point processes with different intensities (solid line: 50 points expected, dashed line: 1500 points). More simulations are rejected than should be when the number of points is low, but the discrepancy is less than 1%. With 1500 points, the quantiles of the test are very close to their expected values.