When applying the K-S test to samples known to come from the correct distribution, the resulting values {p_i = P(x < K_i)}  should be uniformly distributed, but when working with a limited number of samples, the Kolmogorov distribution is only approximate, and the actual CDF of the results, G(p), differs from the ideal G_∞(p) = p. This is shown in the upper panel for the case of 540 samples per experiment, where G(p) is the solid line and G_∞(p) is dashed. The lower panel shows the deviation between the two, which is of the order of 1% in this case (but larger with fewer samples).