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I have a data set where I have unequal sample sizes and unequal variances. I am trying to see if there is a difference in Means between the group I am testing. The group sample sizes are 30, 59, 148, 77, 56, 29, 29, and 28.

I ran a Kruskal Wallis test but I am not sure how powerful it is against unequal sample sizes. Are robust ANOVA tests the best way to go about this analysis? What about Post hoc?

Robust tests I used (from WRS2 package):

t1way(`Crater Defect Rate`~Customer)

med1way(`Crater Defect Rate`~Customer)
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