WOLFRAM|DEMONSTRATIONS PROJECT

The Mann-Whitney Nonparametric Test in the Role of a Location Test

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median difference k
-3.1
Select significance level α
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
Find the interval where the null hypothesis cannot be rejected.
Do not reject
p-value = 0.145
This Demonstration uses the Mann–Whitney test, a standard nonparametric test, to test whether the means or medians of two groups are equal. Consider and test the null hypothesis
H
0
for median difference:
μ
1
-
μ
2
=k
. You can vary the hypothesized
k
to find the range where
H
0
is not rejected. For those values, the value of
k
from the null hypothesis is not considered to be significantly different from the true value.