Computing p-values in conditional independence models for a contingency table

Computational Statistics

Volumn 25, Issue 1, 2010, Pages 57-70

  Kuroda, Masahiro ^a   Hashiguchi, Hiroki ^b   Nakagawa, Shigakazu ^c  

^a OKAYAMA UNIVERSITY OF SCIENCE   (Japan)

^b SAITAMA UNIVERSITY   (Japan)

^c KURASHIKI UNIVERSITY OF SCIENCE AND THE ARTS   (Japan)

Author keywords

Markov basis; Markov chain Monte Carlo; Markov property; Sparse contingency table

Indexed keywords

EID: 77951206345     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-009-0161-0     Document Type: Article

References (18)

1. Agresti A (1992) A survey of exact inference for contingency tables. Stat Sci 7: 131-153.
2. Agresti A (1999) Exact inference for categorical data: recent advances and continuing controversies. Stat Med 20: 2709-2722.
3. Booth JG, Butler RW (1999) An importance sampling algorithm for exact conditional test in log-linear models. Biometrika 86: 321-332.
4. Caffo BS (2006) Exact hypothesis tests for log-linear models with exactLoglinTest. J Stat Softw 17: 1-17.
5. Caffo BS, Booth JG (2001) A Markov chain Monte Carlo algorithm for approximating exact conditional probabilities. J Comput Graph Stat 10: 730-745.
6. Christensen R (1997) Log-linear models and logistic regression, 2nd edn. Springer, New York.
7. Dalenius P, Reiss RS (1982) Data-swapping: a technique for disclosure control. J Stat Plan Inference 6: 73-85.
8. Darroch JN, Lauritzen SL, Speed TP (1980) Markov-fields and log-linear models for contingency tables. Ann Stat 8: 522-539.
9. Dawid AP (1979) Conditional independence in statistical theory (with discussion). J R Stat Soc Ser B 41: 1-31.
10. Diaconis P, Sturmfels B (1998) Algebraic algorithms for sampling from conditional distributions. Ann Stat 26: 363-397.
11. Dobra A (2003) Markov bases for decomposable graphical models. Bernoulli 9: 1093-1108.
12. Edwards D (1995) Introduction to graphical modelling. Springer, New York.
13. Forster JJ, McDonald JW, Smith PW (1996) Monte Carlo exact conditional tests for log-linear and logistic models. J R Stat Soc Ser B 58: 445-453.
14. Geyer CJ (1992) Practical Markov Chain Monte Carlo. Stat Sci 7: 473-483.
15. Goorin AM, Perez-Atayde A, Gebhardt M, Andersen JW, Wilkinson RH, Delorey MJ, Watts H, Link M, Jaffe N, Frei E III (1987) Weekly high-dose methotrexate and doxorubicin for osteosarcoma: the Dana-Farber Cancer Institute/the Children's Hospital-study III. J Clin Oncol 5: 1178-1184.
16. Hastings WK (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57: 97-109.
17. Lauritzen SL (1996) Graphical models. Oxford University Press, New York.
18. Sundberg R (1975) Some results about decomposable (or Markov-type) models for multidimensional contingency tables: distribution of marginals and partitioning of tests. Scand J Stat 2: 71-79.