Presented in the paper are a technical description, a recursion algorithm, and a FORTRAN computer subroutine to compute the one-and two-sided probability values for the Fisher exact probability test. The probability values are calculated recursively, without recourse to factorial expressions; consequently, a vast improvement in computational speed is achieved over previously published algorithms.
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References
1.
Correction, 1978, 27, 109.
2.
Bedian, A. G. and Armenakis, A. A.A program for computing Fisher's exact probability test and the coefficient of association λ for n × m contingency tables. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1977, 37, 253-256.
3.
Boulton, D. M.Remark on algorithm 434 . Communications of the ACM, 1974, 17, 326.
4.
Fisher, R. A.Statistical methods for research workers. Edinburgh: Oliver and Boyd, 1934.
5.
Fleishman, A. I.A program for calculating the exact probability along with exploration of M × N contingency tables . EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1977, 37, 799-803.
6.
Freeman, G. H. and Halton, J. H.Note on an exact treatment of contingency, goodness of fit, and other problems of significance. Biometrika, 1951, 38, 141-149.
7.
Gregory, R. J.A FORTRAN computer program for the Fisher exact probability test . EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1973, 33, 697-700.
8.
Howell, D. C. and Gordon, L. R.Computing the exact probability of an r × c contingency table with fixed marginal totals. Behavior Research Methods and Instrumentation, 1976, 8, 317.
9.
March, D. L.Algorithm 434: Exact probabilities for R × C contingency tables . Communications of the ACM, 1972, 15, 991-992.
10.
Pierce, A.Fundamentals of nonparametric statistics. Belmont Calif.,: Dickenson, 1970.
11.
Robertson, W. H.Programming Fisher's exact method of comparing two percentages . Technometrics, 1960, 2, 103-107.
12.
Romesburg, H. C. , Marshall, K., and Mauk, T. P.FITEST: A computer program for "exact chi-square" goodness-of-fit significance tests. Computers and Geosciences, 1981, 7, 47-58.
13.
Tritchler, D. L. and Pedrini, D. T.A computer program for Fisher's exact probability test. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1975, 35, 717-719.