The Kolmogorov-Smirnov and Anderson-Darling tests are based on the ECDF (Empirical Cumulative Distribution Function).

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Both KS test and AD test are based on the ECDF. The KS test compares the ECDF of the sample with the theoretical distribution, while the AD test calculates a test statistic based on the differences between the ECDF of the sample and the ECDF of the theoretical distribution.

The Kolmogorov-Smirnov and Anderson-Darling Tests Are Based on the ECDF