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:: Home ::Six Sigma ::SIX SIGMA GLOSSARY: Kruskal Wallace Test :: CURRENT STUDENTS LOGIN

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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:

kruskal wallace equation

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

 

MiC Quality offers online courses that can help you prepare for the American Society for Quality (ASQ) Certified Six Sigma Black Belt examination.

Try out our courses by taking the first module of the Primer in Statistics free of charge.

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