Statsly
nonparam

Wilcoxon signed-rank

Compare paired ordinal or non-normal continuous measurements.

Requirements

  • paired observations
  • signed non-zero differences

Avoid when

  • independent groups
  • many zero differences

Formula

W = Σ rank(|dᵢ|) · sign(dᵢ)

Interpretation

Tests whether paired differences are centered at zero.

Worked example

Compare paired pain ratings before and after an intervention using ranks.

Open example datasets