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Howell, D. C. & Gordon, L. R.The chi-square test with small expected frequencies. Paper presented at the metting of the Eastern Psychological Association, New York, N. Y., April 1975.
References
Cochran, W. G. The χ2 test of goodness of fit.Annals of Mathematical Statistics, 1952,23, 315–345.
Cohran, W. G. Some methods for strengthening the common χ2 test.Biometrics, 1954,10, 417–451.
Freeman, G. H., &Halton, J. H. Note on an exact treatment of contingency, goodness of fit and other problems of significance.Biometrika, 1951,38, 141–149.
Hancock, T. W. Remark on Algorithm 434: Exact probabilities for R by C contingency tables.Communications of the ACM, 1975,18, 117–119.
Hays, J. E. A FORTRAN procedure for Fisher’s exact probability test.Behavior Research Methods & Instrumentation, 1975,7, 481.
Lancaster, H. O. Significance tests in discrete distributions.Journal of the American Statistical Association, 1961,56, 223–234.
March, D. L.Accuracy of the chi-square approximation for 2 by 3 contingency tables with small expectations. (Doctoral dissertation, Lehigh University, 1970).Dissertation Abstracts International, 1971.32, 6329B. (University Microfilms No. 71-10, 519)
March, D. L. Algorithm 434: Exact probabilities for R by C contingency tables.Communications of the ACM, 1972,15, 991–992.
Radlow, R. &Alf, E. F., Jr. An alternate multinomial assessment of the accuracy of the χ2 test of goodness of fit.Journal of the American Statistical Association, 1975,70, 811–813.
Trichler, D. L., &Pedrini, D. T. A computer program for Fisher’s exact probability test.Educational and Psychological Measurement, 1975,35, 717–719.
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The authors would like to acknowledge the assistance of Mrs. Cathy Thompson of the University of Durham, England, who made several helpful contributions concerning the calculation of factorials.
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Howell, D.C., Gordon, L.R. Computing the exact probability of an r by c contingency table with fixed marginal totals. Behavior Research Methods & Instrumentation 8, 317 (1976). https://doi.org/10.3758/BF03201729
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DOI: https://doi.org/10.3758/BF03201729