I am planning a study and am not sure which statistical test I should use. In this study, I have multiple independent variables. Some of these variables are categorical, while others are numerical. I am especially interested in the effects of only one of these variables, which is categorical. I also have three dependent variables, all of which are numerical.
I want to use a test that will allow me to account for the effects of all of my independent variables except for the one I'm interested in so that I can tell whether that one variable has a statistically significant effect. How should I go about doing so?