Barnard's unconditional test.

Barnard, G.A. (1945), A new test for 2x2 tables. Nature, pp. 156-177.

Barnard, G.A. (1947), Significance tests for 2x2 tables, Biometrika, 34, pp. 123-138.

Suissa, S. and Shuster, J. J. (1985), Exact Unconditional Sample Sizes for the 2x2 Binomial Trial, Journal of the Royal Statistical Society, Ser. A, 148, pp. 317-327.

Lin C.Y., Yang M.C. (2009), Improved p-value tests for comparing two independent binomial proportions. Communications in Statistics-Simulation and Computation, 38(1):78-91.

This file was inspired by Trujillo-Ortiz, A., R. Hernandez-Walls, A. Castro-Perez, L.

Rodriguez-Cardozo N.A. Ramos-Delgado and R. Garcia-Sanchez. (2004).

Barnardextest:Barnard's Exact Probability Test.

https://www.mathworks.com/matlabcentral/fileexchange/6198-barnardextest .

and by Cardillo G. (2009) MyBarnard: a very compact routine for Barnard's exact test on 2x2 matrix.

http://www.mathworks.com/matlabcentral/fileexchange/257600 .

A comparison with the the current implementation is given in the last example.

The FSDA team wishes to thank Dr. Ivano Azzini for the current implementation of the Barnard test.