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Volumn 86, Issue 3, 1999, Pages 615-633

Markov chain Monte Carlo model determination for hierarchical and graphical log-linear models

Author keywords

Bayesian analysis; Contingency table; Decomposable model; Graphical model; Hierarchical log linear model; Markov chain monte carlo; Reversible jump

Indexed keywords


EID: 0000860415     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/86.3.615     Document Type: Article
Times cited : (111)

References (27)
  • 1
    • 84988128762 scopus 로고
    • A Bayesian test for a two-way contingency table using independence priors
    • ALBERT, J. H. (1990). A Bayesian test for a two-way contingency table using independence priors. Can. J. Statist. 18, 347-63.
    • (1990) Can. J. Statist. , vol.18 , pp. 347-363
    • Albert, J.H.1
  • 2
    • 0030304207 scopus 로고    scopus 로고
    • Bayesian selection of log-linear models
    • ALBERT, J. H. (1996). Bayesian selection of log-linear models. Can. J. Statist. 24, 327-47.
    • (1996) Can. J. Statist. , vol.24 , pp. 327-347
    • Albert, J.H.1
  • 3
    • 0031511721 scopus 로고    scopus 로고
    • Bayesian testing and estimation of association in a two-way contingency table
    • ALBERT, J. H. (1997). Bayesian testing and estimation of association in a two-way contingency table. J. Am. Statist. Assoc. 92, 685-93.
    • (1997) J. Am. Statist. Assoc. , vol.92 , pp. 685-693
    • Albert, J.H.1
  • 5
    • 0001637134 scopus 로고
    • Markov fields and log-linear interaction models for contingency tables
    • DARROCH, J. N., LAURITZEN, S. L. & SPEED, T. P. (1980). Markov fields and log-linear interaction models for contingency tables. Ann. Statist. 8, 522-39.
    • (1980) Ann. Statist. , vol.8 , pp. 522-539
    • Darroch, J.N.1    Lauritzen, S.L.2    Speed, T.P.3
  • 6
    • 21344482755 scopus 로고
    • Hyper Markov laws in the statistical analysis of decomposable graphical models
    • DAWID, A. P. & LAURITZEN, S. L. (1993). Hyper Markov laws in the statistical analysis of decomposable graphical models. Ann. Statist. 21, 1272-317.
    • (1993) Ann. Statist. , vol.21 , pp. 1272-1317
    • Dawid, A.P.1    Lauritzen, S.L.2
  • 7
    • 0039644192 scopus 로고
    • Bayesian inference for generalized linear and proportional hazards models via Gibbs sampling
    • DELLAPORTAS, P. & SMITH, A. F. M. (1993). Bayesian inference for generalized linear and proportional hazards models via Gibbs sampling. Appl. Statist. 42, 443-59.
    • (1993) Appl. Statist. , vol.42 , pp. 443-459
    • Dellaportas, P.1    Smith, A.F.M.2
  • 8
    • 21744432053 scopus 로고    scopus 로고
    • Computing Bayes factors by combining simulation and asymptotic approximations
    • Diciccio, T. J., KASS, R. E. & WASSERMAN, L. (1997). Computing Bayes factors by combining simulation and asymptotic approximations. J. Am. Statist. Assoc. 92, 903-15.
    • (1997) J. Am. Statist. Assoc. , vol.92 , pp. 903-915
    • Diciccio, T.J.1    Kass, R.E.2    Wasserman, L.3
  • 9
    • 0002276308 scopus 로고
    • Assessment and propagation of model uncertainty (with Discussion)
    • DRAPER, D. (1995). Assessment and propagation of model uncertainty (with Discussion). J. R. Statist. Soc. B 57, 45-97.
    • (1995) J. R. Statist. Soc. B , vol.57 , pp. 45-97
    • Draper, D.1
  • 10
    • 0000130823 scopus 로고
    • A fast procedure for model search in multidimensional contingency tables
    • EDWARDS, D. & HAVRâNEK, T. (1985). A fast procedure for model search in multidimensional contingency tables. Biometrika 72, 339-51.
    • (1985) Biometrika , vol.72 , pp. 339-351
    • Edwards, D.1    Havrânek, T.2
  • 11
    • 84972511893 scopus 로고
    • Practical Markov chain Monte Carlo (with Discussion)
    • GEYER, C. J. (1992). Practical Markov chain Monte Carlo (with Discussion). Statist. Sci. 7, 473-511.
    • (1992) Statist. Sci. , vol.7 , pp. 473-511
    • Geyer, C.J.1
  • 12
    • 0000324169 scopus 로고
    • Adaptive rejection sampling for Gibbs sampling
    • GILKS, W. R. & WILD, P. (1992). Adaptive rejection sampling for Gibbs sampling. Appl. Statist. 41, 337-48.
    • (1992) Appl. Statist. , vol.41 , pp. 337-348
    • Gilks, W.R.1    Wild, P.2
  • 13
    • 0000009303 scopus 로고
    • The robustness and sensitivity of the mixed-Dirichlet Bayesian test for 'independence' in contingency tables
    • GOOD, I. J. & CROOK, J. F. (1987). The robustness and sensitivity of the mixed-Dirichlet Bayesian test for 'independence' in contingency tables. Ann. Statist. 15, 670-93.
    • (1987) Ann. Statist. , vol.15 , pp. 670-693
    • Good, I.J.1    Crook, J.F.2
  • 14
    • 77956889087 scopus 로고
    • Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
    • GREEN, P. J. (1995). Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82, 711-32.
    • (1995) Biometrika , vol.82 , pp. 711-732
    • Green, P.J.1
  • 15
    • 0016340906 scopus 로고
    • Bayes factors for independence in contingency tables
    • GûNEL, E. & DICKEY, J. (1974). Bayes factors for independence in contingency tables. Biometrika 61, 545-57.
    • (1974) Biometrika , vol.61 , pp. 545-557
    • Gûnel, E.1    Dickey, J.2
  • 17
    • 27944462549 scopus 로고
    • A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion
    • KASS, R. E. & WASSERMAN, L. (1995). A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion. J. Am. Statist. Assoc. 90, 928-34.
    • (1995) J. Am. Statist. Assoc. , vol.90 , pp. 928-934
    • Kass, R.E.1    Wasserman, L.2
  • 18
    • 0024203638 scopus 로고
    • Incorporating prior information into the analysis of contingency tables
    • KNUIMAN, M. W. & SPEED, T. P. (1988). Incorporating prior information into the analysis of contingency tables. Biometrics 44, 1061-71.
    • (1988) Biometrics , vol.44 , pp. 1061-1071
    • Knuiman, M.W.1    Speed, T.P.2
  • 19
    • 0000220791 scopus 로고    scopus 로고
    • Bayesian model averaging and model selection for Markov equivalence classes of acyclic digraphs
    • MADIGAN, D., ANDERSON, S. A., PERLMAN, M. D. & VOLINSKY, C. T. (1996). Bayesian model averaging and model selection for Markov equivalence classes of acyclic digraphs. Commun. Statist. A 25, 2493-519.
    • (1996) Commun. Statist. a , vol.25 , pp. 2493-2519
    • Madigan, D.1    Anderson, S.A.2    Perlman, M.D.3    Volinsky, C.T.4
  • 20
    • 84950945692 scopus 로고
    • Model selection and accounting for model uncertainty in graphical models using Occam's window
    • MADIGAN, D. & RAFTERY, A. E. (1994). Model selection and accounting for model uncertainty in graphical models using Occam's window. J. Am. Statist. Assoc. 89, 1535-46.
    • (1994) J. Am. Statist. Assoc. , vol.89 , pp. 1535-1546
    • Madigan, D.1    Raftery, A.E.2
  • 22
    • 21844520724 scopus 로고
    • Bayesian graphical models for discrete data
    • MADIGAN, D. & YORK, J. (1995). Bayesian graphical models for discrete data. Int. Statist. Rev. 63, 215-32.
    • (1995) Int. Statist. Rev. , vol.63 , pp. 215-232
    • Madigan, D.1    York, J.2
  • 23
    • 0001857092 scopus 로고
    • Fractional Bayes factors for model comparison (with Discussion)
    • O'HAGAN, A. (1995). Fractional Bayes factors for model comparison (with Discussion). J. R. Statist. Soc. B 57, 99-138.
    • (1995) J. R. Statist. Soc. B , vol.57 , pp. 99-138
    • O'Hagan, A.1
  • 24
    • 0000471495 scopus 로고
    • Some observations on inverse probability including a new indifference rule
    • PERKS, W. (1947). Some observations on inverse probability including a new indifference rule. J. Inst. Actuar. 73, 285-334.
    • (1947) J. Inst. Actuar. , vol.73 , pp. 285-334
    • Perks, W.1
  • 25
    • 0000297493 scopus 로고    scopus 로고
    • Approximate Bayes factors and accounting for model uncertainty in generalized linear models
    • RAFTERY, A. E. (1996). Approximate Bayes factors and accounting for model uncertainty in generalized linear models. Biometrika 83, 251-66.
    • (1996) Biometrika , vol.83 , pp. 251-266
    • Raftery, A.E.1
  • 26
    • 0000458172 scopus 로고
    • Bayes factors for linear and log-linear models with vague prior information
    • SPIEGELHALTER, D. J. & SMITH, A. F. M. (1982). Bayes factors for linear and log-linear models with vague prior information. J. R. Statist. Soc. B 44, 377-87.
    • (1982) J. R. Statist. Soc. B , vol.44 , pp. 377-387
    • Spiegelhalter, D.J.1    Smith, A.F.M.2
  • 27
    • 0021473698 scopus 로고
    • Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs
    • TARJAN, R. E. & YANNAKAKIS, M. (1984). Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs. SIAM J. Comp. 13, 566-79.
    • (1984) SIAM J. Comp. , vol.13 , pp. 566-579
    • Tarjan, R.E.1    Yannakakis, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.