I have three overlapping sets and I want to find the probability of finding a larger/greater intersection for 'A intersect B intersect C' (in the example below, I want to find the probability of finding more than 135 elements that are common in sets A, B & C). For a two set problem, I guess I would do a Fisher or chi-square test. Here is what I have attempted so far:
### Prepare a 3 way contingency table: mytable <- array(c(135,116,385,6256, 48,97,274,9555), dim = c(2,2,2), dimnames = list( Is_C = c('Yes','No'), Is_B = c('Yes','No'), Is_A = c('Yes','No'))) ## test mantelhaen.test(myrabbit, exact = TRUE, alternative = "greater")
Is this the right test (alongwith the current parameters) to determine what I want or is there a more appropriate test for this?