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Kruskal-Wallis Test

The Kruskal-Wallis test is a distribution free (nonparametric) alternative to ANOVA. It compares several samples and tests the hypothesis:

H0 the samples are all drawn from populations that have equal means
H1 the mean of at least one of the populations is different

The test involves:

• sort the combined results into size order and allocate ranks
• form a table that contains the ranks, instead of the values
• calculate the test statistic 'K using the formula:

Where:

 Ri sum of the ranks in row 'i' J number of values in row 'i' I number of rows N total number of values

'K' has an approximately χ 2 distribution with degrees of freedom I - 1

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