Wilcoxon Signed-Rank Test Calculator

Non-parametric test for comparing two related samples or matched pairs.

Paired Data

Wilcoxon W Statistic

3.50

Statistically Significant

ZZ-Score
-1.9750
pP-Value
1.000000
rEffect Size (r)
0.6983
mdMedian Diff
3.00

Rank Statistics

W+ (positive ranks)32.5 (6 pairs)
W- (negative ranks)3.5 (2 pairs)
Total pairs8
Non-zero differences8

Formula

W = min(W+, W-), Z = (W - n(n+1)/4) / sqrt(n(n+1)(2n+1)/24)