Understanding the Kruskal–Wallis Test

The Kruskal–Wallis test is a nonparametric statistical method used to compare three or more independent groups. It is useful when the data does not meet the assumptions needed for a one-way ANOVA.

When Is It Used?

Researchers can use this test to compare groups in fields such as education, business, psychology, and healthcare. The test evaluates whether the groups have different distributions.

Important Assumptions

Before using the test, check that:

The groups are independent.

The outcome can be ranked.

Observations are independent within and between groups.

If you want to interpret the result as a difference in group locations, the group distributions should have reasonably similar shapes.

How Do You Interpret the Result?

The test produces an H statistic and a p-value. If the p-value is below your chosen significance level, such as 0.05, there is evidence that at least one group differs.…