Dependence of Dixon theoretical statistical significance probabilities on the number of samples taken at fixed separation ratios. The logarithms of the Dixon test theoretical statistical significance probabilities (equation 6) are plotted against the number of points n in a sample, [10, 11, ... , 100]. Each theoretical line (right) is at a different fixed sample separation ratio τ = [0.5, 0.8, 0.9, 0.95, 0.99], respectively. From the family of lines, the rapid decrease in statistical significance probability with increasing sample size n is apparent. This effect is stronger the closer τ is to unity.