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Volumn 9, Issue 1, 1999, Pages 17-26

On MCMC sampling in hierarchical longitudinal models

Author keywords

Blocking; Convergence acceleration; Correlated binary data; Gibbs sampler; Linear mixed model; Metropolis Hastings algorithm; Panel data; Random effects

Indexed keywords


EID: 0043047984     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008853808677     Document Type: Article
Times cited : (145)

References (41)
  • 2
    • 84916537550 scopus 로고
    • Bayesian analysis of binary and polychotomous response data
    • Albert, J. H. and Chib, S. (1993) Bayesian analysis of binary and polychotomous response data. J. Amer. Statist. Assoc., 88, 669-79.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 669-679
    • Albert, J.H.1    Chib, S.2
  • 3
    • 0042115897 scopus 로고    scopus 로고
    • Bayesian modeling of binary repeated measures data with application to crossover trials
    • D. A. Berry and D. K. Stangl, eds., New York: Marcel Dekker
    • Albert, J. and Chib, S. (1996) Bayesian modeling of binary repeated measures data with application to crossover trials. In Bayesian Biostatistics, D. A. Berry and D. K. Stangl, eds., New York: Marcel Dekker, pp. 577-99
    • (1996) Bayesian Biostatistics , pp. 577-599
    • Albert, J.1    Chib, S.2
  • 6
    • 0000676690 scopus 로고    scopus 로고
    • Hierarchical longitudinal modeling
    • eds. W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, London: Chapman and Hall
    • Carlin, B. P. (1996) Hierarchical longitudinal modeling. In Markov Chain Monte Carlo in Practice, eds. W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, London: Chapman and Hall, pp. 303-19.
    • (1996) Markov Chain Monte Carlo in Practice , pp. 303-319
    • Carlin, B.P.1
  • 8
    • 0001342598 scopus 로고
    • Monte Carlo Bayesian methods for discrete regression models and categorical time series
    • J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds., Oxford: Oxford University Press
    • Carlin, B. P. and Polson, N. G. (1992) Monte Carlo Bayesian methods for discrete regression models and categorical time series. In Bayesian Statistics 4, J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds., Oxford: Oxford University Press, pp. 577-86.
    • (1992) Bayesian Statistics 4 , pp. 577-586
    • Carlin, B.P.1    Polson, N.G.2
  • 9
    • 84950445183 scopus 로고
    • A Monte Carlo approach to nonnormal and nonlinear state-space modeling
    • Carlin, B. P., Polson, N. G., and Stoffer, D. S. (1992) A Monte Carlo approach to nonnormal and nonlinear state-space modeling. J. Amer. Statist. Assoc., 87, 493-500.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 493-500
    • Carlin, B.P.1    Polson, N.G.2    Stoffer, D.S.3
  • 10
    • 0000193853 scopus 로고
    • On Gibbs sampling for state space models
    • Carter, C. K. and Kohn, R. (1994) On Gibbs sampling for state space models. Biometrika, 81, 541-53.
    • (1994) Biometrika , vol.81 , pp. 541-553
    • Carter, C.K.1    Kohn, R.2
  • 11
    • 0000761439 scopus 로고    scopus 로고
    • Markov chain Monte Carlo in conditionally Gaussian state space models
    • Carter, C. K. and Kohn, R. (1996) Markov chain Monte Carlo in conditionally Gaussian state space models. Biometrika, 83, 589-601.
    • (1996) Biometrika , vol.83 , pp. 589-601
    • Carter, C.K.1    Kohn, R.2
  • 13
    • 0003107701 scopus 로고    scopus 로고
    • Calculating Posterior Distributions and Modal Estimates in Markov Mixture Models
    • Chib, S. (1996) Calculating Posterior Distributions and Modal Estimates in Markov Mixture Models. Journal of Econometrics, 75, 79-97.
    • (1996) Journal of Econometrics , vol.75 , pp. 79-97
    • Chib, S.1
  • 14
    • 32344446687 scopus 로고
    • Understanding the Metropolis-Hastings algorithm
    • Chib, S. and Greenberg E. (1995) Understanding the Metropolis-Hastings algorithm. The American Statistician, 49, 327-35.
    • (1995) The American Statistician , vol.49 , pp. 327-335
    • Chib, S.1    Greenberg, E.2
  • 15
    • 0000911137 scopus 로고    scopus 로고
    • Analysis of multivariate probit models
    • Chib, S. and Greenberg, E. (1998) Analysis of multivariate probit models. Biometrika, 85, 347-61.
    • (1998) Biometrika , vol.85 , pp. 347-361
    • Chib, S.1    Greenberg, E.2
  • 16
    • 0041615018 scopus 로고    scopus 로고
    • Gibbs sampling for Bayesian nonconjugate and hierarchical models using auxilliary variables
    • To appear
    • Damien, P., Wakefield, J. and Walker, S. (1998) Gibbs sampling for Bayesian nonconjugate and hierarchical models using auxilliary variables. To appear J. Roy. Statist. Soc., Ser. B.
    • (1998) J. Roy. Statist. Soc., Ser. B
    • Damien, P.1    Wakefield, J.2    Walker, S.3
  • 17
    • 0002384709 scopus 로고
    • Conditional independence in statistical theory
    • Dawid, A. P. (1979) Conditional independence in statistical theory (with discussion). J. Roy. Statist. Soc. Ser. B, 41, 1-31.
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , pp. 1-31
    • Dawid, A.P.1
  • 18
    • 0001708275 scopus 로고
    • A likelihood-based method for analysing longitudinal binary responses
    • Fitzmaurice, G. F. V. and Laird, N. M. (1993) A likelihood-based method for analysing longitudinal binary responses. Biometrika, 80, 141-51.
    • (1993) Biometrika , vol.80 , pp. 141-151
    • Fitzmaurice, G.F.V.1    Laird, N.M.2
  • 19
    • 0442309445 scopus 로고    scopus 로고
    • Identifiability, improper priors and Gibbs sampling for generalized linear models
    • To appear
    • Gelfand, A. E. and Sahu, S. K. (1999) Identifiability, improper priors and Gibbs sampling for generalized linear models. To appear J. Amer. Statist. Assoc.
    • (1999) J. Amer. Statist. Assoc.
    • Gelfand, A.E.1    Sahu, S.K.2
  • 20
    • 0001574731 scopus 로고
    • Efficient parametrizations for normal linear mixed models
    • Gelfand, A. E. Sahu, S. K. and Carlin, B. P. (1995) Efficient parametrizations for normal linear mixed models. Biometrika, 82, 479-88.
    • (1995) Biometrika , vol.82 , pp. 479-488
    • Gelfand, A.E.1    Sahu, S.K.2    Carlin, B.P.3
  • 21
    • 0001516939 scopus 로고    scopus 로고
    • Efficient parametrizations for generalized linear mixed models
    • eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith. Oxford: Oxford University Press
    • Gelfand, A. E., Sahu, S. K. and Carlin, B. P. (1996) Efficient parametrizations for generalized linear mixed models (with discussion). In Bayesian Statistics 5, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith. Oxford: Oxford University Press, pp. 165-80.
    • (1996) Bayesian Statistics 5 , pp. 165-180
    • Gelfand, A.E.1    Sahu, S.K.2    Carlin, B.P.3
  • 22
    • 84950453304 scopus 로고
    • Sampling-based approaches to calculating marginal densities
    • Gelfand, A. E. and Smith, A. F. M. (1990) Sampling-based approaches to calculating marginal densities. J. Amer. Statist. Assoc., 85, 398-409.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 398-409
    • Gelfand, A.E.1    Smith, A.F.M.2
  • 23
    • 84950437936 scopus 로고
    • Annealing Markov chain Monte Carlo with applications to ancestral inference
    • Geyer, C. J. and Thompson, E. A. (1995) Annealing Markov chain Monte Carlo with applications to ancestral inference. J. Amer. Statist. Assoc., 90, 909-20.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 909-920
    • Geyer, C.J.1    Thompson, E.A.2
  • 24
    • 0002388372 scopus 로고    scopus 로고
    • Strategies for improving MCMC
    • W. R. Gilks, S. Richardson and D. J. Spiegelhalter, D. J., eds, London: Chapman and Hall
    • Gilks, W. R. and Roberts, G. O. (1996) Strategies for improving MCMC. In Markov Chain Monte Carlo in Practice, W. R. Gilks, S. Richardson and D. J. Spiegelhalter, D. J., eds, London: Chapman and Hall, pp. 89-114.
    • (1996) Markov Chain Monte Carlo in Practice , pp. 89-114
    • Gilks, W.R.1    Roberts, G.O.2
  • 27
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • Hastings, W. K. (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57, 97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 28
    • 0032382838 scopus 로고    scopus 로고
    • Markov chain Monte Carlo in practice: A round table discussion
    • Kass, R. E., Carlin, B. P., Gelman, A. and Neal, R. (1998) Markov chain Monte Carlo in practice: A round table discussion. The American Statistician, 52, 93-100.
    • (1998) The American Statistician , vol.52 , pp. 93-100
    • Kass, R.E.1    Carlin, B.P.2    Gelman, A.3    Neal, R.4
  • 29
    • 0001251517 scopus 로고    scopus 로고
    • Stochastic Volatility, Likelihood Inference and Comparison with ARCH Models
    • Kim, S., Shephard, N. and Chib, S. (1998) Stochastic Volatility, Likelihood Inference and Comparison with ARCH Models. The Review of Economic Studies, 65, 361-394.
    • (1998) The Review of Economic Studies , vol.65 , pp. 361-394
    • Kim, S.1    Shephard, N.2    Chib, S.3
  • 31
    • 0020333131 scopus 로고
    • Random-effects models for longitudinal data
    • Laird, N. M. and Ware, J. H. (1982) Random-effects models for longitudinal data. Biometrics, 38, 963-74.
    • (1982) Biometrics , vol.38 , pp. 963-974
    • Laird, N.M.1    Ware, J.H.2
  • 32
    • 84950459427 scopus 로고
    • Hierarchical Bayes models for the progression of HIV infection using longitudinal CD4 T- Cell numbers
    • Lange, N., Carlin, B. P., and Gelfand, A. E. (1992) Hierarchical Bayes models for the progression of HIV infection using longitudinal CD4 T- cell numbers (with discussion). J. Amer. Statist. Assoc., 87, 615-32.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 615-632
    • Lange, N.1    Carlin, B.P.2    Gelfand, A.E.3
  • 34
    • 79951870792 scopus 로고
    • The collapsed Gibbs sampler in Bayesian computations with applications to a gene regulation problem
    • Liu, J. S. (1994) The collapsed Gibbs sampler in Bayesian computations with applications to a gene regulation problem. Journal of the American Statistical Association, 89, 958-66.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 958-966
    • Liu, J.S.1
  • 35
    • 0038553920 scopus 로고    scopus 로고
    • Simulated sintering: Markov chain Monte Carlo with spaces of varying dimension
    • To appear J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds., Oxford: Oxford University Press
    • Liu, J. S. and Sabatti, C. (1998) Simulated sintering: Markov chain Monte Carlo with spaces of varying dimension. To appear Bayesian Statistics 6, J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds., Oxford: Oxford University Press.
    • (1998) Bayesian Statistics 6
    • Liu, J.S.1    Sabatti, C.2
  • 36
    • 0001789822 scopus 로고
    • Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes
    • Liu, J. S., Wong, W. H., and Kong, A. (1994) Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes. Biometrika, 81, 27-40.
    • (1994) Biometrika , vol.81 , pp. 27-40
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 37
    • 0000051645 scopus 로고    scopus 로고
    • Updating schemes, correlation structure, blocking, and parameterization for the Gibbs sampler
    • Roberts, G. O. and Sahu, S. K. (1997) Updating schemes, correlation structure, blocking, and parameterization for the Gibbs sampler. J. Roy. Statist. Soc., Ser. B, 59, 291-17.
    • (1997) J. Roy. Statist. Soc., Ser. B , vol.59 , pp. 291-317
    • Roberts, G.O.1    Sahu, S.K.2
  • 38
    • 0003258788 scopus 로고    scopus 로고
    • Likelihood analysis of non-Gaussian measurement time series
    • Shephard, N. and Pitt, M. K. (1997) Likelihood analysis of non-Gaussian measurement time series. Biometrika, 84, 653-67.
    • (1997) Biometrika , vol.84 , pp. 653-667
    • Shephard, N.1    Pitt, M.K.2
  • 39
    • 0003470083 scopus 로고
    • BUGS 0.5: Bayesian inference using Gibbs sampling manual
    • Medical Research Council Biostatistics Unit, Institute of Public Health, Cambridge University
    • Spiegelhalter, D. J., Thomas, A., Best, N. and Gilks, W. R. (1995) BUGS 0.5: Bayesian inference using Gibbs sampling manual. Technical report, Medical Research Council Biostatistics Unit, Institute of Public Health, Cambridge University.
    • (1995) Technical Report
    • Spiegelhalter, D.J.1    Thomas, A.2    Best, N.3    Gilks, W.R.4
  • 40
    • 21444459350 scopus 로고    scopus 로고
    • Fitting Bayesian multiple random effects models
    • Vines, S. K., Gilks, W. R. and Wild, P. (1996) Fitting Bayesian multiple random effects models. Statistics and Computing, 6, 337-46.
    • (1996) Statistics and Computing , vol.6 , pp. 337-346
    • Vines, S.K.1    Gilks, W.R.2    Wild, P.3
  • 41
    • 84910906566 scopus 로고
    • Generalized linear models with random effects; a Gibbs sampling approach
    • Zeger, S. L. and Karim, M. R. (1991) Generalized linear models with random effects; a Gibbs sampling approach. J. Amer. Statist. Assoc., 86, 79-86.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 79-86
    • Zeger, S.L.1    Karim, M.R.2


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