I’m looking for a statistical test, but having difficulty finding an analysis that fits all the conditions of the data.
My IV and the DV are categorical, each with 3 levels. For the IV, the experiment will have 3 conditions (e.g., easy, medium, difficult). For the DV, there are 3 possible responses. These responses are based on previous research which concluded that for this particular task, one of three responses is most likely.
It is a within-groups design, with each participant being tested in all 3 conditions.
My research question is whether the different conditions affect how individuals will respond (e.g., Are individuals in condition A most likely to respond with A, rather than B or C? Are individuals in condition C are most likely to respond with C, rather than A and B?, etc.). I could simply provide the percentage of participants who "chose" each response (A, B, or C) for each the 3 conditions, but want to test for significance. Cochran’s Q test seems to the closest I can find, but it only allows for a dichotomous DV.
To summarize, this is a repeated-measures experiment with 2 categorical variables, each with 3 levels. I plan to be working with SPSS. Any help would be appreciated.