Fig 1. Sensitivity of the K-S test.

The sensitivity of the K-S test depends on the number of degrees of freedom and the number of realizations. Results from validating 25 different sample sizes (x-axis) drawn from a gamma distributions at 101 different temperatures (y-axis) but fixed number of degrees of freedom (10³, 10⁴, and 10⁵, for the first, the second and the third panel, respectively), against a gamma distribution at 300 K and the same number of degrees of freedom. All tests were repeated 1000 times. The color bars indicate the average p-value obtained from the tests, with two contour lines indicating the p = 10% and p = 1% levels. The values between the sampled data points were approximated using bi-cubic interpolation.