Nonparametric tests for the two-sample location problem

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Let X1,X2,...,Xm and Y1,Y2,...,Yn be two independent random samples from populations with continuous distribution functions F(x) and G(x)=F(x - ) respectively. In order to test H: =0 against K:A>0 several tests can be used. Thirteen such nonparametric tests are presented here. By means of a sampling study a comparison of these tests are performed. The criteria of the power and the power index was used. Related problems are discussed as well. An algorithm (in Pascal) for computation of the critical level of the Mann-Whitney- Wilcoxon test is given also.