Sorry if this is a simple question but I have designed a study in which I gathered some incidental, opportunistic data, without really thinking properly as to how I could analyse it. I am now stuck.

32 participants (16 in two groups) answered a question. Subsequent to answering this question, participants indicated whether their answer was based on a guess, a feeling or a memory - so a categorical variable with 3 levels. Each participant provided 22 of these categorical ratings. I thought initially, I could analyse the data by converting it into relative proportions and use a mixed analysis of variance with 1 between and 1 within. However, of course, the observations are not independent of one another. Moreover, they average out to 33.33% across the within-subject. It doesn't seem like a chi-square test is a good idea though, as each of the 22 for each subject would be more related to one another than any of the other observations. What analysis can I use - or is it only possible to explore this data?

Thanks for any help - it is much appreciated!