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Wilcoxon Signed Rank Test Calculator

Compare paired before-and-after measurements with a two-sided Wilcoxon signed-rank test. Zero differences are omitted, tied absolute differences receive average ranks, and the calculator shows every rank and a local CSV export.

Enter one pair per line as before, after. Separate the two values with a comma, semicolon or space; use a period for decimals. Enter 2–500 pairs.

Differences are calculated as after minus before. Zero differences are omitted; tied absolute differences receive average ranks. The test is two-sided. The exact method is used for up to 25 nonzero pairs; larger samples use a continuity-corrected normal approximation. Interpret results only when the paired study design and test assumptions are appropriate; this does not establish causation.

How do I use the Wilcoxon signed-rank test calculator?

Enter one before, after pair on each line. The calculator ranks the nonzero absolute differences, reports positive and negative rank sums, and calculates a two-sided p-value. Small samples use an exact sign-flip distribution; larger samples use a continuity-corrected normal approximation.

Frequently asked questions

How do I use the Wilcoxon signed-rank test calculator?

Enter one before, after pair on each line. The calculator ranks the nonzero absolute differences, reports positive and negative rank sums, and calculates a two-sided p-value. Small samples use an exact sign-flip distribution; larger samples use a continuity-corrected normal approximation.

Are my paired measurements uploaded?

No. The calculation and optional CSV file are created in this browser. The tool does not upload or save your entered values.

When should I use the Wilcoxon signed-rank test?

Use it for paired measurements when comparing the location of their differences and when the assumptions for the signed-rank procedure are reasonable. It is not a test for independent groups.

How are zero differences and ties handled?

Pairs with no change are omitted from the ranking. Equal nonzero absolute differences share the average rank positions they occupy.

What does the p-value mean?

It summarizes how unusual the observed signed ranks would be under the assumption of no systematic paired change. It is not the probability that this assumption is true and does not measure effect size or prove causation.