A subroutine to calculate Fisher's exact test of mutual independence in 2 x 2 x 2 cross-classification tables is presented. The subroutine's speed is due to use of an arbitrary constant for the initial table and recursively defined values obtained for all remaining tables.
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References
1.
Agresti, A. (1992). A survey of exact inference for contingency tables. Statistical Science, 7, 131-177.
2.
Bartlett, M. S. (1935). Contingency table interactions. Journal of the Royal Statistical Society Supplement, 2, 248-252.
3.
Berry, K. J. , & Mielke, P. W. (1989). Analyzing independence in r-way contingency tables. Educational and Psychological Measurement, 49, 605-607.
4.
Fisher, R. A. (1934). Statistical methods for research workers. Edinburgh: Oliver & Boyd.
5.
Freeman, G. H. , & Halton, J. H. (1951). Note on an exact treatment of contingency, goodness of fit and other problems of significance. Biometrika, 38, 141-149.
6.
Grizzle, J. E. , Starmer, C. F., & Koch, G. G. (1969). Analysis of categorical data by linear models. Biometrics, 25, 489-504.
7.
Mielke, P. W. , & Berry, K. J. (1988). Cumulant methods for analyzing independence of r-way contingency tables. Biometrika, 75, 790-793.
8.
Mielke, P. W. , & Berry, K. J. (1992). Fisher's exact probability test for cross-classification tables. Educational and Psychological Measurement, 52, 97-101.
9.
Pomar, M. I. (1984). Demystifying loglinear analysis: Four ways to assess interaction in a 2 x 2 x 2 table. Sociological Perspectives, 27, 111-135.
10.
Quetelet, M. A. (1849). Letters addressed to H.R.H. the Grand Duke of Saxe Coburg and Gotha on the theory of probabilities as applied to the moral and political sciences (0. G. Downes, Trans.). London: Charles & Edwin Layton.
11.
Zelen, M. (1972). Exact significance tests for contingency tables embedded in a 2n classification. In L. M. LeCam, J. Neyman, & E. L. Scott (Eds.), Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Vol. 1, pp. 737-757). Berkeley: University of California Press.
