>> res.statistic, res.pvalue (1.974403288713695, 0.04991293614572478) >>> res.critical_values array([0.325, 1.226, 1.961, 2.718, 3.752, 4.592, 6.546]) The null hypothesis that the two random samples come from the same distribution can be rejected at the 5% level because the returned test value is greater than the critical value for 5% (1.961) but not at the 2.5% level. The interpolation gives an approximate p-value of 4.99%. >>> samples = [rng.normal(size=50), rng.normal(size=30), ... rng.normal(size=20)] >>> res = stats.anderson_ksamp(samples) >>> res.statistic, res.pvalue (-0.29103725200789504, 0.25) >>> res.critical_values array([ 0.44925884, 1.3052767 , 1.9434184 , 2.57696569, 3.41634856, 4.07210043, 5.56419101]) The null hypothesis cannot be rejected for three samples from an identical distribution. The reported p-value (25%) has been capped and may not be very accurate (since it corresponds to the value 0.449 whereas the statistic is -0.291). In such cases where the p-value is capped or when sample sizes are small, a permutation test may be more accurate. >>> method = stats.PermutationMethod(n_resamples=9999, random_state=rng) >>> res = stats.anderson_ksamp(samples, method=method) >>> res.pvalue 0.5254 rc