Statistics

Kolmogorov-Smirnov Two-Sample Test Calculator

Easily perform a Kolmogorov-Smirnov test online to compare two samples and determine if they are drawn from the same distribution. Get instant D-statistic and P-value results.

Input Data

Enter your sample data sets below. Values should be comma-separated.

Enter comma-separated numeric values.

Enter comma-separated numeric values.

Test Results

D-Statistic:

P-Value:

CDF Visualization

About the Kolmogorov-Smirnov Test

The Kolmogorov-Smirnov (KS) test is a non-parametric test used to determine if two independent samples are drawn from the same continuous distribution. It quantifies the maximum distance (D-statistic) between the empirical cumulative distribution functions (CDFs) of the two samples. A small P-value (typically ≤ 0.05) suggests that the samples are likely from different distributions, rejecting the null hypothesis that they are from the same distribution. Conversely, a large P-value indicates that we do not have enough evidence to reject the null hypothesis. The CDF visualization helps to graphically compare the distributions.

Frequently Asked Questions

What is the Kolmogorov-Smirnov Two-Sample Test Calculator?
The Kolmogorov-Smirnov Two-Sample Test Calculator is an online Statistics calculator. You enter your values, and it returns the answer with the steps shown so you can follow along.
How accurate is the Kolmogorov-Smirnov Two-Sample Test Calculator?
The solver uses a math engine that avoids the floating-point rounding errors you get from most hardware calculators. For typical homework and professional calculations, the results will match what you would get by hand.
Can I use the Kolmogorov-Smirnov Two-Sample Test Calculator for professional Statistics projects?
Yes. The math behind it is standard Statistics, so the results are reliable for professional use. That said, always double-check that your inputs are in the right format before relying on the output.
Why use the Kolmogorov-Smirnov Two-Sample Test Calculator instead of calculating by hand?
Manual calculation is slow and error-prone, especially with multiple steps. This tool does the arithmetic for you and shows each step, so you can catch mistakes before they carry forward.
How do I format my inputs for the Kolmogorov-Smirnov Two-Sample Test Calculator?
Type your numbers into the input fields. Leave out units and symbols unless a field specifically asks for them. The solver handles the rest.