A nonparametric alternative to the paired t-test which is similar to the Fisher sign test. This
test assumes that there is information in the magnitudes of the differences between
paired observations, as well as the signs. Take the paired observations, calculate
the differences, and rank them from smallest to largest by absolute
value. Add all the ranks associated with positive
differences, giving the 
statistic. Finally, the P-value
associated with this statistic is found from an appropriate table. The Wilcoxon test
is an R-estimate.
Wilcoxon Signed Rank Test
See also
Fisher Sign Test, Hypothesis Testing, Paired t-Test, Parametric Test, Wilcoxon Test StatisticExplore with Wolfram|Alpha
References
Wilcoxon, F. "Individual Comparisons by Ranking Methods." Biometrics 1, 80-83, 1945.Referenced on Wolfram|Alpha
Wilcoxon Signed Rank TestCite this as:
Weisstein, Eric W. "Wilcoxon Signed Rank Test." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WilcoxonSignedRankTest.html