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*'''Wilcoxon rank sum test'''<br>='''Mann-Whitney test'''
::''<math>H_0</math> is distribution '''medians of both of outcomes ranks''' in both the two population'''s''' are the same''
:#To rank whole combined observations of two groups
:#To separate back the ranks into two groups
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*'''Wilcoxon signed rank test'''
::''<math>H_0</math> is '''median of paired differences''' in the population is zero''
:#To calculate differences between pairs and discard 0 differences
:#To rank the absolute values of differences (ignoring 0)
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*'''Kruskall-Wallis test'''
::''<math>H_0</math> is distribution of outcomes in all population'''s''' are the same''
:#To rank whole combined observations of all groups
:#To separate back the ranks into original groups