Mann-Whitney U Test
| Mann-Whitney U Test Calculator | ||
|---|---|---|
| Group 1 : X | Group 2 : Y | |
| Enter Data (Separated by comma ,) | ||
| Level of Significance ($\alpha$) | ||
| Tail | Left tailed Right tailed Two tailed | |
| Results | ||
| Number of Observations (n): | ||
| Ranks for Group 1: | ||
| Ranks for Group 2: | ||
| Ranks sum for Group 1: | ||
| Ranks sum for Group 2: | ||
| U Statistic : | ||
| U Critical Value : | ||
Mann-Whitney U Test
Define
$$ \begin{aligned} U_1 & = n_1n_2 + \frac{n_1(n_1+1)}{2}-R_1\\ U_2 & = n_1n_2 + \frac{n_2(n_2+1)}{2}-R_2\\ \end{aligned} $$
The test statistic is $U=min{U_1,U_2 }$.
The critical value of U is $U_{\alpha, n1,n2}$
