Two-sample Kolmogorov-Smirnov test between the Herschel/PACS observations and the simulations of the DEBRIS subsamples A, F, G, and K. Each simulation assumes a power law of index of α_f for the distribution of the fractional dust luminosities of the disks. In blue, we show the Kolmogorov-Smirnov test significance level (Prob K-S in %). The null hypothesis (i.e., that the two samples are drawn from the same distribution) can be rejected if the significance level is below 5% (horizontal dot-dash line). In black, connected dots are the simulated disk detection rates as a function of α_f for r₁ and r₂ of Table 3. In red, the single filled large circle and vertical bar mark the observed detection rate and the unfilled large circles show its 1σ uncertainty range. The K-S significance level peaks closely at the same α_f as the observed detection rate for the four subsamples A, F, G, and K, as expected with our fitting procedure and providing support for the power law model assumed. The fit parameters are given in Table 3.