Is the gamma statistic the right way to analyze this data? I want to make sure I am thinking about this correctly. Would I be calculating the gamma statistic to see what the association between each set combination would be with respect to the similar/dissimilar rating (e.g., sets of 2 and sets of 3, sets of 3 and sets of 4)? The examples of this that I am finding all compare different questions that were answered using the same likert scale, whereas this data has the same question for each. To me, the interpretation of a significant finding does not seem to make sense. Say the correlation was .36 (or 36%) with p<.05; which would mean there is a positive correlation -- as their similar/dissimilar score increases to being more similar, their reported similar/dissimilar score increases on another set. This makes me think there must be another way to look at this data.

Thank you for the assistance!