# Kruskal Wallis test in one-way ANOVA

## Kruskal Wallis test in one-way ANOVA (By R-bloggers)

Kruskal Wallis test in R, Kruskal Wallis test is one of the frequently used methods in nonparametric statistics for analyzing data in one-way classification.

It is equivalent to a one-way analysis of variance in parametric methods.

When we test the identicalness of the k population from which the independent samples have been drawn. There is no restriction of sample sizes.

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## Assumptions

Mainly Kruskal Wallis test is based on the following assumptions.

- The observations are independent within and between samples.
- The variable under study is continuous
- The populations are identical in respect to the median.

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## Hypothesis

Ho: All the populations are identical

H1: At least one pair of the population do not have the same median.

The test statistic is approximately distributed as chi-square with (k-1) degrees of freedom. , subject to the condition n should be large or at least n should not be less than 5.

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