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Kolmogorov-Smirnov One-Sample Test Calculator

D = max|F_n(x) − F_0(x)| — KS goodness-of-fit statistic.

Calculates the one-sample Kolmogorov-Smirnov test statistic D from the maximum deviation between empirical and theoretical CDFs.

Marcus Laurent By Marcus Laurent
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

D_n = max|F_n(x) − F_0(x)|; critical value ≈ 1.36/√n (5%)

In depth

Calculates the one-sample Kolmogorov-Smirnov test statistic D from the maximum deviation between empirical and theoretical CDFs.