Exact probabilities for contingency tables using binomial coefficients

Research paper by James M. Sakoda, Burton H. Cohen

Indexed on: 01 Mar '57Published on: 01 Mar '57Published in: Psychometrika


The use of binomial coefficients in place of factorials to shorten the calculation of exact probabilities for 2 × 2 and 2 ×r contingency tables is discussed. A useful set of inequalities for estimating the cumulative probabilities in the tail of the distribution from the probability of a single table is given. A table of binomial coefficients with four significant places andn through 60 is provided.