요약
In this study, we propose a nonparametric test based on the empirical distribution and its
quantile function and compare its performance with the well-known tests for the two-sample
problem. For this, first of all, we review some existing nonparametric tests and then propose
a new one. We consider to apply the permutation principle to obtain the null distribution. Then
we show an example and compare the performance by obtaining empirical powers through a
simulation study. Finally, we discuss briefly the re-sampling methods and comment about
importance of the continuity assumption for the underlying distribution for the nonprametric
test.