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Just a note

Surprisingly, most statistical tests have little power to detect this type of difference - for example:
  • a Kolmogorov-Smirnov test (which compares the overall shape of distributions) only gives a (non-significant) P-value of 0.586,
  • a Wilcoxon-Mann-Whitney test (which is most sensitive to differences between medians) gives a (non-significant) P-value of 0.1924.