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Volumn 36, Issue 2, 2009, Pages 320-336

Posterior predictive p-values in bayesian hierarchical models

Author keywords

Calibration of p values; Hierarchical models; Model criticism; Posterior predictive p values

Indexed keywords


EID: 67949091122     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2008.00630.x     Document Type: Article
Times cited : (27)

References (31)
  • 2
    • 85032121470 scopus 로고    scopus 로고
    • P values for composite null, models (with discussion)
    • Bayarri, M. J. & Berger, J. O. (2000). P values for composite null, models (with discussion). J. Amer. Statist. Assoc. 95, 1127-1142.
    • (2000) J. Amer. Statist. Assoc , vol.95 , pp. 1127-1142
    • Bayarri, M.J.1    Berger, J.O.2
  • 3
    • 49449083133 scopus 로고    scopus 로고
    • Bayesian checking of the second levels of hierarchical, models (with discussion)
    • Bayarri, M. J. & Castellanos, M. E. (2007). Bayesian checking of the second levels of hierarchical, models (with discussion). Statist. Sci., 22, 322-367.
    • (2007) Statist. Sci , vol.22 , pp. 322-367
    • Bayarri, M.J.1    Castellanos, M.E.2
  • 4
    • 0001135785 scopus 로고    scopus 로고
    • (1.980). Sampling and Bayes' inference in scientific modelling and robustness (with discussion)
    • Box, G. E. P. (1.980). Sampling and Bayes' inference in scientific modelling and robustness (with discussion). J. Roy. Statist. Soc. Ser. A 143, 383-430.
    • J. Roy. Statist. Soc. Ser. A , vol.143 , pp. 383-430
    • Box, G.E.P.1
  • 5
    • 0011241944 scopus 로고
    • Approximate inference in generalized linear mixed models
    • Breslow, N. & Clayton, D. (1993). Approximate inference in generalized linear mixed models. J. Amer. Statist. Assoc. 88, 9-25.
    • (1993) J. Amer. Statist. Assoc , vol.88 , pp. 9-25
    • Breslow, N.1    Clayton, D.2
  • 6
    • 36749034828 scopus 로고    scopus 로고
    • A robust conflict measure of inconsistencies in Bayesian hierarchical models
    • Dahl, F. A., Gåsemyr, J. & Natvig, B. (2007). A robust conflict measure of inconsistencies in Bayesian hierarchical models. Scand J. Statist. 34, 816-828.
    • (2007) Scand J. Statist , vol.34 , pp. 816-828
    • Dahl, F.A.1    Gåsemyr, J.2    Natvig, B.3
  • 7
    • 3142725222 scopus 로고    scopus 로고
    • A simulation-intensive approach, for checking hierarchical models
    • Dey, D., Gelfand, A., Swartz, T. & Vlachos, P. (1998). A simulation-intensive approach, for checking hierarchical models. Test 7, 325-346.
    • (1998) Test , vol.7 , pp. 325-346
    • Dey, D.1    Gelfand, A.2    Swartz, T.3    Vlachos, P.4
  • 9
    • 48749087559 scopus 로고    scopus 로고
    • Evans, M. & Moshonov, H. (2006). Checking for prior-data conflict. Bayesian Anal. 1, 893-914. Gelfand, A. E. (2003). Some comments on model criticism. In Highly structured stochastic systems (eds P. J. Green, N. L. Hjort & S. Richardson), 449-523. Oxford University Press, Oxford.
    • Evans, M. & Moshonov, H. (2006). Checking for prior-data conflict. Bayesian Anal. 1, 893-914. Gelfand, A. E. (2003). Some comments on model criticism. In Highly structured stochastic systems (eds P. J. Green, N. L. Hjort & S. Richardson), 449-523. Oxford University Press, Oxford.
  • 11
    • 25444484077 scopus 로고    scopus 로고
    • Posterior predictive assessment of model fitness via realized discrepancies (with discussion)
    • German, A., Meng, X.-L. & Stern, H. (1996). Posterior predictive assessment of model fitness via realized discrepancies (with discussion). Statist. Sinica 6, 733-807.
    • (1996) Statist. Sinica , vol.6 , pp. 733-807
    • German, A.1    Meng, X.-L.2    Stern, H.3
  • 13
    • 15044358532 scopus 로고    scopus 로고
    • Multiple imputation for model checking: Completed-data plots with missing and latent data
    • Gelman, A., Mechelen, I. V., Verbeke, G., Heitjan, D. F. & Meulders, M. (2005). Multiple imputation for model checking: completed-data plots with missing and latent data. Biometrics 61, 74-85.
    • (2005) Biometrics , vol.61 , pp. 74-85
    • Gelman, A.1    Mechelen, I.V.2    Verbeke, G.3    Heitjan, D.F.4    Meulders, M.5
  • 14
    • 0002876195 scopus 로고
    • The use of the concept of a future observation in goodness-of-fit problems
    • Guttman, I. (1967). The use of the concept of a future observation in goodness-of-fit problems. J. Roy. Statist. Soc. Ser. B 29, 83-100.
    • (1967) J. Roy. Statist. Soc. Ser. B , vol.29 , pp. 83-100
    • Guttman, I.1
  • 15
    • 1342303691 scopus 로고    scopus 로고
    • Estimating catch-at-age from market sampling data using a Bayesian. hierarchical model
    • 1.-14
    • Hirst, D., Aanes, S., Storvik, G., Huseby, R. B. & Tvete, I. F. (2004). Estimating catch-at-age from market sampling data using a Bayesian. hierarchical model. J. Roy. Statist. Soc Ser. C 53, 1.-14.
    • (2004) J. Roy. Statist. Soc Ser. C , vol.53
    • Hirst, D.1    Aanes, S.2    Storvik, G.3    Huseby, R.B.4    Tvete, I.F.5
  • 18
    • 67949116411 scopus 로고    scopus 로고
    • Bayesian model assessment using pivotal quantities
    • Tech. Rep, UT MD Anderson Cancer Center, Department of Biostatistics
    • Johnson, V. (2006). Bayesian model assessment using pivotal quantities. Tech. Rep., UT MD Anderson Cancer Center, Department of Biostatistics.
    • (2006)
    • Johnson, V.1
  • 19
    • 34249277377 scopus 로고    scopus 로고
    • Measuring the complexity of generalised linear hierarchical models
    • Lu. H., Hodges, J. S. & Carlin, B. P. (2007). Measuring the complexity of generalised linear hierarchical models. Can, J Statist. 35, 69-87.
    • (2007) Can, J Statist , vol.35 , pp. 69-87
    • Lu, H.1    Hodges, J.S.2    Carlin, B.P.3
  • 20
    • 0037687725 scopus 로고    scopus 로고
    • Approximate cross-validatory predictive checks in disease mapping models
    • Marshall, E. C. & Spiegelhalter, D. J. (2003). Approximate cross-validatory predictive checks in disease mapping models. Statist. Med. 22, 1649-1660.
    • (2003) Statist. Med , vol.22 , pp. 1649-1660
    • Marshall, E.C.1    Spiegelhalter, D.J.2
  • 21
    • 67949091919 scopus 로고    scopus 로고
    • Meng, X.-L. (1.994). Posterior predictive p-values. Ann. Statist., 22, 1142-11.60.
    • Meng, X.-L. (1.994). Posterior predictive p-values. Ann. Statist., 22, 1142-11.60.
  • 22
    • 11144313312 scopus 로고    scopus 로고
    • HSSS model criticism
    • eds P. J. Green, N. L. Hjort & S. Richardson, Oxford University Press, Oxford
    • O'Hagan, A. (2003). HSSS model criticism. In Highly structured stochastic systems (eds P. J. Green, N. L. Hjort & S. Richardson), 423-444. Oxford University Press, Oxford.
    • (2003) Highly structured stochastic systems , pp. 423-444
    • O'Hagan, A.1
  • 23
    • 0442309488 scopus 로고    scopus 로고
    • Robins, J. M., van der Vaart, A. & Ventura, V. (2000). Asymptotic distribution of p values in composite null, models (with discussion). J. Amer. Statist. Assoc., 95, 11.43-1156.
    • Robins, J. M., van der Vaart, A. & Ventura, V. (2000). Asymptotic distribution of p values in composite null, models (with discussion). J. Amer. Statist. Assoc., 95, 11.43-1156.
  • 24
    • 0000439370 scopus 로고
    • Bayesian justifiable and relevant frequency calculations for the applied statistician
    • Rubin, D. B. (1984). Bayesian justifiable and relevant frequency calculations for the applied statistician. Ann, Statist. 12, 1251-1172.
    • (1984) Ann, Statist , vol.12 , pp. 1251-1172
    • Rubin, D.B.1
  • 26
    • 34250219986 scopus 로고    scopus 로고
    • Approximate Bayesian inference for hierarchical Gaussian Markov random field models
    • Rue, H. & Martino, S. (2007). Approximate Bayesian inference for hierarchical Gaussian Markov random field models. J. Statist. Plann, Inference 137, 3177-3192.
    • (2007) J. Statist. Plann, Inference , vol.137 , pp. 3177-3192
    • Rue, H.1    Martino, S.2
  • 27
    • 62849120031 scopus 로고    scopus 로고
    • Rue, H., Martino, S. & Chopin, N. (2009). Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations with discussions. J. Roy. Statist. Soc. Ser. B Statist. Methodol. 71 (to appear).
    • Rue, H., Martino, S. & Chopin, N. (2009). Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations with discussions. J. Roy. Statist. Soc. Ser. B Statist. Methodol. 71 (to appear).
  • 28
    • 0037290204 scopus 로고    scopus 로고
    • Posterior predictive model checking in hierarchical models
    • Sinharay, S. & Stern, H. (2003). Posterior predictive model checking in hierarchical models. J. Statist. Plann. Inference 111, 209-221.
    • (2003) J. Statist. Plann. Inference , vol.111 , pp. 209-221
    • Sinharay, S.1    Stern, H.2
  • 30
    • 67949115002 scopus 로고    scopus 로고
    • Tools for fast computation of Bayesian p-values in hierarchical models
    • Manuscript under preparation
    • Steinbakk, G. (2008). Tools for fast computation of Bayesian p-values in hierarchical models. Manuscript under preparation.
    • (2008)
    • Steinbakk, G.1
  • 31
    • 67949102807 scopus 로고    scopus 로고
    • Posterior predictive p-values in Bayesian hierarchical models
    • Tech. Rep. 07:1.2, Department of Mathematics, University of Bristol
    • Steinbakk, G. & Storvik, G. (2007). Posterior predictive p-values in Bayesian hierarchical models. Tech. Rep. 07:1.2, Department of Mathematics, University of Bristol.
    • (2007)
    • Steinbakk, G.1    Storvik, G.2


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