Pairwise Kruskal-Wallis

Compute the Kruskal-Wallis H-test for pairwise independent samples, from a given reference sample.

The Kruskal-Wallis H-test tests the null hypothesis that the population median of all of the groups are equal. It is a non-parametric version of ANOVA.

• Input: a table containing the sample measurements, with the name of the samples.

• Output: a table listing the Kruskal-Wallis H statistic, corrected for ties, and the p-value for each pairwise comparison testing. Kruskal-Wallis H statistic is corrected for ties. The p-value for the test uses the assumption that H has a chi square distribution. The p-value returned is the survival function of the chi square distribution evaluated at H.

for the test using the assumption that H has a chi square distribution. The p-value returned is the survival function of the chi square distribution evaluated at H.

• Config Parameters:

• "column_names": The columns used for pairwise comparison. By default, the first three columns are used.

Note: due to the assumption that H has a chi square distribution, the number of samples in each group must not be too small. A typical rule is that each sample must have at least 5 measurements.

For more details, see https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.kruskal.html