Results from testing the null hypotheses of a single KS law (left column) and of a double KS law (right column). Each panel shows the 2.5%,25%,50%,75% and 97.5% percentiles of σ_1fit (top), Δlog (t_dep) (middle) and SSR_2fit/SSR_1fit (bottom) as a function of σ_rand. The measured values are indicated by dashed horizontal lines. A gray rectangle represents the 95% confidence interval for σ_rand derived in each panel from the measured value. Dotted lines show the confidence intervals derived from σ_1fit (top panels).