Exact conditional P value calculation for the quasi-symmetry model

Journal of Computational and Graphical Statistics

Volumn 14, Issue 3, 2005, Pages 716-725

  Booth, James G ^a   Capanu, Marinela ^b   Heigenhauser, Ludwig ^b  

^a Plant Breeding and Genetics Section in the School of Integrative Plant Science   (United States)

^b University of Florida ^*  (United States)

Author keywords

Enumeration; Goodness of fit; Loglinear model; Network algorithm; Reference set; Sufficient statistic

Indexed keywords

EID: 26644446123     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186005X59496     Document Type: Article

References (21)

1. Agresti, A. (1988), "A Model for Agreement Between Ratings on an Ordinal Scale," Biometrics, 44, 539-548.
2. _ (1990), Categorical Data Analysis, New York: Wiley.
3. _ (1992), "A Survey of Exact Inference for Contingency Tables" (with discussion), Statistical Science, 7, 131-177.
4. Agresti, A., Wackerly, D., and Boyett, J. (1979), "Exact Conditional Tests for Cross-Classifications: Approximation of Attained Significance Levels," Psychometrika, 44, 75-83.
5. Agresti, A., and Yang, M. (1987), "An Empirical Investigation of Some Effects of Sparseness in Contingency Tables," Communications in Statistics; Simulation and Computation, 5, 9-21.
6. Booth, J. G., and Butler, R. W. (1999), "An Importance Sampling Algorithm for Exact Conditional Tests in Log-Linear Models," Biometrika, 86, 321-332.
7. Caffo, B. S., and Booth, J. G. (2001), "A Markov Chain Monte Carlo Algorithm for Approximating Exact Conditional Tests," Journal of Computational and Graphical Statistics, 10, 730-745.
8. Diaconis, P., and Sturmfels, B. (1998), "Algebraic Algorithms for Sampling from Conditional Distributions," The Annals of Statistics, 26, 363-397.
9. Forster, J. J., McDonald, J. W., and Smith, P. W. F. (1996), "Monte Carlo Exact Conditional Tests for Loglinear and Logistic Models," Journal of the Royal Statistical Society, Ser. B, 58, 445-453.
10. Gail, M., and Mantel, N. (1977), "Counting the Number of r × c Contingency Tables with Fixed Margins," Journal of the American Statistical Association, 72, 859-862.
11. Haberman, S. J. (1988), "A Warning on the Use of Chi-Squared Statistics with Frequency Tables with Small Expected Cell Counts," Journal of the American Statistical Association, 83, 555-560.
12. Kappes, J. (2003), "Community Interactions Associated with Red-Cockaded Woodpecker Cavities," unpublushed PhD thesis, University of Florida, Department of Wildlife Ecology and Conservation.
13. McCullagh, P. (1982), "Some Applications of Quasisymmetry," Biometrika, 69, 303-308.
14. McDonald, J. W., DeRoure, D. C., and Michaelides, D. T. (1998), "Exact Tests for Two-Way Symmetric Contingency Tables," Statistics and Computing, 8, 391-399.
15. Mehta, C. R., and Patel, N. R. (1983), "A Network Algorithm for Performing Fisher's Exact Test in r × c Contingency Tables," Journal of the American Statistical Association, 78, 427-434.
16. Pagnini, L. D., and Morgan, S. P. (1990), "Intermarriage and Social Distance Among U.S. Immigrants at the Turn of the Century," American Journal of Sociology, 96, 405-432.
17. Patefield, W. M. (1981), "An Efficient Method of Generating r × c Tables With Given Row and Column Totals," Applied Statistics, 30, 91-97.
18. Read, R. C., and Cressie, N. A. (1988), Goodness-of-Fit Statistics for Discrete Multivariate Data, New York: Springer.
19. Smith, P. W. F., Forster, J. J., and McDonald, J. W. (1996), "Monte Carlo Exact Tests for Square Contingency Tables," Journal of the Royal Statistical Society, Ser. A, 159, 309-321.
20. Smith, P. W. F., and McDonald, J. W. (1995). "Exact Conditional Tests for Incomplete Contingency Tables: Estimating Attained Significance Levels," Statistics and Computing, 5, 253-256.
21. StatXact (1989), Cambridge, MA: Cytel Software Corporation.