A network algorithm for performing fisher’s exact test in r × c contingency tables

Journal of the American Statistical Association

Volumn 78, Issue 382, 1983, Pages 427-434

  Mehta, Cyrus R ^a   Patel, Nitin R ^b  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

^b INDIAN INSTITUTE OF MANAGEMENT   (India)

Author keywords

Conditional reference set; Contingency tables; Exact tests; Fisher s exact test; Implicit enumeration; Network algorithm; Permutation distribution; R c contingency tables

Indexed keywords

EID: 84950435288     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1983.10477989     Document Type: Article

References (14)

1. BISHOP, Y.M.M., FIENBERG, S.E., and HOLLAND, P.W. (1975), Discrete Multivariate Analysis: Theory and Practice. M.l.T. Press.
2. 2, -2 Log R. and Multinomial Probability Criteria for Significance Tests when Expected Frequencies are Small,” Journal of the American Statistical Association, 71, 854–863.
3. 2 Tests,” Biometrics, 10, 417–451.
4. GAIL, M., and MANTEL, N. (1977), “Counting the Number of Contingency Tables with Fixed Margins,” Journal of the American Statistical Association, 72, 859–862.
5. HABER, M. (1980), “A Comparison of Some Continuity Corrections for the Chi-Squared Test on 2 × 2 Tables,” Journal of the American Statistical Association, 75, 510–515.
6. HADLEY, G. (1962), Linear Programming, Reading, Mass.: Addison-Wesley.
7. KNUTH, D. E. (1973), The Art of Computer Programming, Vol. 3: Sorting and Searching, Reading, Mass.: Addison-Wesley.
8. LEHMANN, E.L. (1959), Testing Statistical Hypotheses, New York: John Wiley.
9. MEHTA, C.R., and PATEL, N.R. (1980), “A Network Algorithm for the Exact Treatment of the 2 × k Contingency Table,” Communications in Statistics, Ser. B9 (3), 649–664.
10. MURTY, K.G. (1976), Linear and Combinatorial Programming, New York: John Wiley.
11. PAGANO, M., and HALVORSEN, K. (1981), “An Algorithm for Finding the Exact Significance Levels of r × c Contingency Tables,” Journal of the American Statistical Association, 76, 931–934.
12. VAN der WAERDEN, B. (1957), Mathematische Statistik, Heidelberg: Springer Verlag.
13. 2 Goodness of Fit Tests and the Accuracy of Approximations for the Null Distributions,” Journal of the American Statistical Association, 65, 864–886.
14. ZELEN, M. (1971), “The Analysis of Several 2×2 Contingency Tables,” Biometrika, 58, 129–137.