Wilcoxon signed-rank test calculator

Calculate wilcoxon minimum signed rank sum and asymptotic two-sided p value with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use wilcoxon minimum signed rank sum and asymptotic two-sided p value to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Paired sample A
10,12,14,11,15
Paired sample B
8,11,10,9,12
Wilcoxon minimum signed rank sum
0
Asymptotic two-sided p value
0.042168
Nonzero pair count
5

Try another scenario

Paired sample A
10.1,12.0,14.0,11.0,15.0
Paired sample B
8,11,10,9,12
Wilcoxon minimum signed rank sum
0
Asymptotic two-sided p value
0.043114
Nonzero pair count
5
Calculation method

Calculation method

Wilcoxon minimum signed rank sum

Drop zero differences, average tied absolute ranks; normal approximation without continuity correction.

Asymptotic two-sided p value

Drop zero differences, average tied absolute ranks; normal approximation without continuity correction.

Nonzero pair count

Drop zero differences, average tied absolute ranks; normal approximation without continuity correction.

Symbols and units
a
Paired sample A
b
Paired sample B

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Zero differences dropped; asymptotic model and paired-difference symmetry assumption. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Zero differences dropped; asymptotic model and paired-difference symmetry assumption.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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