I am working on a dataset, which involves three categorical (two dichotomies, and one of 5 categories) independent variables and a continuous variable that consists of counts. The idea is to look at the significance of the group differences/ the (main and interaction) effects of the independents on the dependent. The problem is that a) some groups formed by the independents are not at all equal in sample size (1 group has no people left inside), and b) the dependent variable is not normally distributed and has extreme outliers, which as part of the project should not be deleted. So far, I have tried factorial ANOVA (though violating most of its assumptions), Hierarchical LogLinear analysis, and multiple regression with the independents entered as dummies. However, none of the above tests seem appropriate. Any suggestions? Thank you ~ Anna
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