Application of statistical methods for the comparison of data distributions

Data analysis is an essential section of all physics experiments; in spite of this only a few analysis standard toolkits are available. Concerning the comparison between distributions, almost all these toolkits are limited to the Chi-squared test. Statistics provides a whole chapter of Goodness-of-Fit tests, from the Chi-squared to tests based on maximum distance (Kolmogorov-Smirnov, Kuiper, Goodman), to tests based on quadratic distance (Fisz-Cramer-von Mises, Anderson-Darling, Tiku). All of these Goodness-of-Fit tests have been collected in a new open-source Statistical Toolkit