I have not been able to find an authoritative source on when it is inappropriate to use Fisher's Exact test in the context of cell counts. I know that it can be computationally intensive to use Fisher Exact test's if the cell counts are large, but if I am not concerned with computation time, is it still statistically valid to use Fisher Exact's test on a 2x2 contingency table with large cell counts?
Please let me know if I can clarify the question.
EDIT: Some links that imply there is an issue with large cell counts for Fisher's Exact test:
- This calculator from graphpad will not allow you to use Fisher's Exact test when cell counts are large --> it uses Chi Squared test instead.
- This thread where a comment states "Why on earth would you do a fisher's exact test for this? That test is better suited for small counts."
That's all I have for now.