A multidimensional version of the KolmogorovSmirnov test
Abstract
The authors discuss a generalization of the classical KolmogorovSmirnov test, which is suitable to analyse random samples defined in two or three dimensions. This test provides some improvements with respect to an earlier version proposed by Peacock. Supported by a large number of Monte Carlo simulations, the authors are ensured that this test is sufficiently distributionfree for any practical purposes. They also give a simple analytic expression to make easier the calculation of the critical values of the test probability distribution. To illustrate how the test works, the authors use it to analyse models of the cosmological evolution of Xray selected active galactic nuclei and they show that it is a much more sensitive goodnessoffit test than the χ^{2}.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 March 1987
 DOI:
 10.1093/mnras/225.1.155
 Bibcode:
 1987MNRAS.225..155F
 Keywords:

 Astronomical Models;
 Galactic Evolution;
 Galactic Nuclei;
 KolmogoroffSmirnoff Test;
 Random Sampling;
 X Ray Spectra;
 Active Galactic Nuclei;
 Data Correlation;
 Monte Carlo Method;
 Probability Density Functions;
 Run Time (Computers);
 Astrophysics