# 3 categorical IV and 1 categorical DV -- what test to use?

Here's my setup:

Independent Variables (IV):
(A) Task -- values 0 - 6 (order doesn't matter)
(B) Viewpoint -- values 0 - 26 (order doesn't matter)
(C) Input-device -- values {touchscreen, mouse, trackpad}

Dependent Variable (DV):
(1) Types of drawing -- values {arrow, circle, outline, arrow+circle, arrow+outline, circle+outline, arrow+circle+outline, sketch, words, ...}

I want to see if task, viewpoint, or input-device affects the type of drawing my participants did. What statistical test should I use for this?

Since this is all categorical (nominal) data, I was thinking to use the Chi-Squared test, but I have too many independent variables, right? All the websites I have found mention using Chi-Squared with only 1 independent variable. I can't use a "Factorial logistic regression" either because the dependent variable is not dichotomous. Any ideas?

EDIT: Actually, I think my dependent variable is the number of each of type of drawing drawn. E.g., for Task 0, Viewpoint 1, mouse, across all users who did this task (it's between-subjects on Task), there was 3 arrows, 5 circles, etc. This is still a categorical DV, right?

• I think that you need to clarify whether you really want to find out, if your IVs affect your DV, as, strictly speaking, this would be a causal analysis. Alternatively, your (most likely and simpler) goal is determine the nature of the relation between your IVs and your DV, which is a correlational analysis. But this is just my opinion. Apr 9, 2015 at 8:06
• Yes, I think I want the latter--just the nature of the relation between my IVs and my DV. Apr 9, 2015 at 8:09