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sci.Mann-Whitney-U-test Calculator
Calculates the Mann-Whitney U statistic and z-score for comparing two independent samples without normality assumptions. Mann-Whitney is equivalent to Wilcoxon rank-sum test — it tests whether P(X > Y) = 0.5 and is valid for ordinal data and skewed continuous distributions.
Inputs
N1
Reference formula or conversion factor shown for context.
N2
Reference formula or conversion factor shown for context.
U Statistic
Reference formula or conversion factor shown for context.
Results
z-score
Number of standard deviations a value is from the mean. |z| below 2: within normal range. |z| above 2: in the outer 5% of the distribution. |z| above 3: in the outer 0.3%.
U₁
Reference formula or conversion factor shown for context.
E[U] under H₀
Sample size or count used in the calculation.
interpretation
Qualitative summary of what the computed numbers mean in practical terms.
z = (U - n₁n₂/2) / √(n₁n₂(n₁+n₂+1)/12)
Sample size or count used in the calculation.
exact test preferred
Reference formula or conversion factor shown for context.