For two independently drawn samples of data, a novel statistical test is pr
oposed for the null hypothesis that both samples originate from the same po
pulation. The underlying distribution function does not need to be known bu
t must be continuous, i.e., it is a nonparametric test. It is demonstrated
for suitable examples that the test is easy to apply and is at least as pow
erful as the commonly used nonparametric tests, i.e., the KolmogorovSmirnov
, the Cramer-von Mises, and the Wilcoxon tests.