When you want to compare groups on a given variable such as happiness, you could first compute the mean for each group for happiness to see which group was highest and then determine whether the differences among them are significant by employing the Kruskal-Wallis one-way analysis of variance.

Question

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This is a correct method for comparing groups and determining if the differences are significant. The Kruskal-Wallis test is appropriate for comparing three or more groups on a continuous variable that is not normally distributed.

When You Want to Compare Groups on a Given Variable