Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

First sample

Required list.

Second sample

Required list.

The cited overview of Statistics supplies background for the terminology and domain context used by this tool.^[1]

Calculate the Mann-Whitney U statistic for two independent samples using average ranks for ties. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

U statistic

Returned number.

• A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

• Wilcoxon Signed-Rank Test Calculator

  Calculate the two-sided Wilcoxon signed-rank statistic with average ranks for ties and zero differences removed.

• Kruskal-Wallis Test Calculator

  Calculate the tie-corrected Kruskal-Wallis H statistic for independent groups.

• Paired T-Test Calculator

  Calculate the paired-samples t statistic for matched observations.