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Wilcoxon signed-rank

§2.6
Rev 4.6 · reviewed Feb 2026
Wilcoxon signed-rank
The nonparametric partner of the paired t-test. Enter the within-patient differences (after − before); zeros are dropped. Good for skewed change scores.
Source formula: Wilcoxon F. Biometrics Bull 1945;1:80–3.
Paired differences
Nonzero pairs (n)9
Sum of positive ranks W⁺38.5
z (normal approx, tie-corrected)1.901
* Normal approximation with tie correction. Wilcoxon F. Biometrics Bull 1945;1:80–3.
Two-sided p
0.057
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No significant within-patient change (p = 0.057). This tests whether differences are symmetrically centered on zero — report the median difference with it.
Understand what this is measuring