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Intervals (CI)
Tests of Hypotheses
In this course most of the hypotheses we consider involve two samples.
Hypothesis testing is typically done using the Wilcoxon statistic. The
CC's that may be used for this purpose are given below. Again, as in the
case of CI's, the first one needs an extra effort of computing the pvalue
whereas the second one gives the pvalue based on 1000 resamples directly.
TwoSample bootstrap Wilcoxon
statistic (Sorted)

TwoSample hypothesis test and confidence interval for the location parameter
based on the
As an example consider the following data.
Y : 12 15 10 9 13
X : 7 5 14 6 8 10
Suppose we are testing H_{0}
: X = Y versus H_{A}
: X < Y. The data and appropriate output based on 1000
resamples is
So the pvalue of the test is 0.025.
20000821