I was taught to only apply Fisher's Exact Test in contingency tables that were 2x2.
Did Fisher himself ever envision this test to be used in tables larger than 2x2 (I am aware of the tale of him devising the test while trying to guess whether an old woman could tell if milk was added to tea or tea was added to milk)
Stata allows me to use Fisher's exact test to any contingency table. Is this valid?
Is it preferable to use FET when expected cell counts in a contingency table are < 5?