Conditional inference on tables with structural zeros

Journal of Computational and Graphical Statistics

Volumn 16, Issue 2, 2007, Pages 445-467

  Chen, Yuguo ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Contingency table; Exact test; Monte Carlo method; Sequential importance sampling; Zero one table

Indexed keywords

EID: 84941944719     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186007X209226     Document Type: Article

References (25)

1. Agresti, A. (1992), "A Survey of Exact Inference for Contingency Tables," Statistical Science, 7, 131-153.
2. Aoki, S., and Takemura, A. (2005), "Markov Chain Monte Carlo Exact Tests for Incomplete Two-Way Contingency Tables," Journal of Statistical Computation and Simulation, 75, 787-812.
3. Bender, E. A. (1974), "The Asymptotic Number of Non-negative Integer Matrices with Given Row and Column Sums," Discrete Mathematics, 10, 217-223.
4. Bishop, Y. M. M., Fienberg, S. E., and Holland, P. W. (1975), Discrete Multivariate Analysis: Theory and Practice, Cambridge, MA: M.I.T. Press.
5. Chen, S. X., and Liu, J. S. (1997), "Statistical Applications of the Poisson-Binomial and Conditional Bernoulli Distributions," Statistica Sinica, 1 875-892.
6. Chen, X. H., Dempster, A. P., and Liu, J. S. (1994), "Weighted Finite Population Sampling to Maximize Entropy," Biometrika, 81, 457-469.
7. Chen, Y. (2006), "Simple Existence Conditions for Zero-One Matrices With at Most One Structural Zero in Each Row and Column," Discrete Mathematics, 306, 2870-2877.
8. Chen, Y., Diaconis, P., Holmes, S. P., and Liu, J. S. (2005), "Sequential Monte Carlo Methods for Statistical Analysis of Tables," Journal of the American Statistical Association, 100, 109-120.
9. Chen, Y., Dinwoodie, I. H., and Sullivant, S. (2006), "Sequential Importance Sampling for Multiway Contingency Tables," The Annals of Statistics, 34, 523-545.
10. Chen, Y., and Small, D. (2005), "Exact Tests for the Rasch Model via Sequential Importance Sampling," Psychometrika, 70, 11-30.
11. Connor, E. F., and Simberloff, D. (1979), "The Assembly of Species Communities: Chance or Competition?" Ecology, 60, 1132-1140.
12. Cook, R. R., and Quinn, J. F. (1995), "The Influence of Colonization in Nested Species Subsets," Oecologia, 102, 413-424.
13. Cox, D. R. (1988), "Some Aspects of Conditional and Asymptotic Inference," Sankhya, Series A, 50, 314-337.
14. Diaconis, P., and Efron, B. (1985), "Testing for Independence in a Two-Way Table: New Interpretations of the Chi-Square Statistic," The Annals of Statistics, 13, 845-874.
15. Fienberg, S. E. (1980), The Analysis of Cross-Classified Categorical Data (2nd ed.), Cambridge, MA: M.I.T. Press.
16. Goodman, L. A. (1968). "The Analysis of Cross-Classified Data: Independence, Quasi-independence and Interactions in Contingency Tables With or Without Missing Entries," Journal of the American Statistical Association, 63, 1091-1131.
17. Holland, P. W., and Leinhardt, S. (1981), "An Exponential Family of Probability Distributions for Directed Graphs," Journal of the American Statistical Association, 76, 33-50.
18. Kelderman, H. (1984), "Loglinear Rasch Model Tests," Psychometrika, 49, 223-245.
19. Kong, A., Liu, J. S., and Wong, W. H. (1994), "Sequential Imputations and Bayesian Missing Data Problems," Journal of the American Statistical Association, 89, 278-288.
20. Krackhardt, D. (1987), "Cognitive Social Structures," Social Networks, 9, 109-134.
21. Lehmann, E. L. (1986), Testing Statistical Hypotheses, New York: Wiley.
22. Manly, B. F. (1995), "A Note on the Analysis of Species Co-occurrences," Ecology, 76, 1109-1115.
23. Mirsky, L. (1971), Transversal Theory, New York: Academic Press.
24. Ploog, D. W. (1967), "The Behavior of Squirrel Monkeys (Saimiri sciureus) as Revealed by Sociometry, Bioacoustics, and Brain Stimulation," in Social Communication Among Primates, ed. S. Altmann, Chicago: University of Chicago Press, 149-184.
25. Rao, A. R., Jana, R., and Bandyopadhyay, S. (1996), "A Markov Chain Monte Carlo Method for Generating Random (0,1)-Matrices with Given Marginals," Sankhya, Series A, 58, 225-242.