In my study, each subject produces a 3x3 contingency table.So I have a table of counts of how many times a subject responded X Y Z in condition A, B or C. All the columns sum up to 50 (num of trials in the task).
A B C
X 20 15 25
Y 20 15 20
Z 10 20 5
I have multiple such tables. I want to know if it's correct to pool all the data together and run a chi square or there is another thing I can do (something that includes random factors)?