MyFisher33

A very compact routine to compute Fisher's exact test on a 3x3 matrix

Fisher's exact test of 3x3 contingency tables permits calculation of precise probabilities in situation where, as a consequence of small cell frequencies, the much more rapid normal approximation and chi-square calculations are liable to be inaccurate. The Fisher's exact test involves the computations of several factorials to obtain the probability of the observed and each of the more extreme tables. Factorials growth quickly, so it's necessary use logarithms of factorials. In Matlab this is very easy using the Gammaln function. The function uses preallocation and vectorization to speed-up the computations. Actually, the function also computes the mid-P correction to make the test less conservative.