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Volumn 104, Issue 488, 2009, Pages 1682-1695

What are the limits of posterior distributions arising from nonidentified models, and why should we care?

Author keywords

Asymptotics; Bayesian inference; Nonidentified model

Indexed keywords


EID: 74049133642     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2009.tm08603     Document Type: Article
Times cited : (34)

References (37)
  • 1
    • 2942679728 scopus 로고    scopus 로고
    • A Cautionary Note on the Robustness of Latent Class Models for Estimating Diagnostic Error Without a Gold Standard
    • Albert, P. S., and Dodd, L. E. (2004), "A Cautionary Note on the Robustness of Latent Class Models for Estimating Diagnostic Error Without a Gold Standard," Biometrics, 60, 427-435.
    • (2004) Biometrics , vol.60 , pp. 427-435
    • Albert, P.S.1    Dodd, L.E.2
  • 2
    • 20244387188 scopus 로고
    • Sufficient Parameters: Solution to the Minimal Dimensionality Problem
    • Barankin, E. (1961), "Sufficient Parameters: Solution to the Minimal Dimensionality Problem," Annals of the Institute of Statistical Mathematics, 12, 91-118.
    • (1961) Annals of the Institute of Statistical Mathematics , vol.12 , pp. 91-118
    • Barankin, E.1
  • 3
    • 0035106431 scopus 로고    scopus 로고
    • Bayesian Approaches to Modeling the Conditional Dependence Between Multiple Diagnostic Tests
    • Dendukuri, N., and Joseph, L. (2001), "Bayesian Approaches to Modeling the Conditional Dependence Between Multiple Diagnostic Tests," Biometrics, 57, 158-167.
    • (2001) Biometrics , vol.57 , pp. 158-167
    • Dendukuri, N.1    Joseph, L.2
  • 6
    • 0442309445 scopus 로고    scopus 로고
    • Identifiability, Improper Priors, and Gibbs Sampling for Generalized Linear Models
    • Gelfand, A. E., and Sahu, S. K. (1999), "Identifiability, Improper Priors, and Gibbs Sampling for Generalized Linear Models," Journal of the American Statistical Association, 94, 247-253.
    • (1999) Journal of the American Statistical Association , vol.94 , pp. 247-253
    • Gelfand, A.E.1    Sahu, S.K.2
  • 7
    • 0141798922 scopus 로고    scopus 로고
    • Georgiadis, M. P., Johnson, W. O., Gardner, I. A., and Singh, R. (2003), Correlation-Adjusted Estimation of Sensitivity and Specificity of Two Diagnostic Tests, Journal ofthe Royal Statistical Society, Ser. C, 52, 63-76.
    • Georgiadis, M. P., Johnson, W. O., Gardner, I. A., and Singh, R. (2003), "Correlation-Adjusted Estimation of Sensitivity and Specificity of Two Diagnostic Tests," Journal ofthe Royal Statistical Society, Ser. C, 52, 63-76.
  • 9
    • 85041975304 scopus 로고
    • Exploratory Latent Structure Using Both Identifiable and Unidentifiable Models
    • Goodman, L. A. (1974), "Exploratory Latent Structure Using Both Identifiable and Unidentifiable Models," Biometrika, 61, 215-231.
    • (1974) Biometrika , vol.61 , pp. 215-231
    • Goodman, L.A.1
  • 10
    • 0037361638 scopus 로고    scopus 로고
    • The Impact of Prior Distributions for Uncontrolled Confounding and Response Bias: A Case Study of the Relation of Wire Codes and Magnetic Fields to Childhood Leukemia
    • Greenland, S. (2003), "The Impact of Prior Distributions for Uncontrolled Confounding and Response Bias: A Case Study of the Relation of Wire Codes and Magnetic Fields to Childhood Leukemia," Journal of the American Statistical Association, 98, 47-54.
    • (2003) Journal of the American Statistical Association , vol.98 , pp. 47-54
    • Greenland, S.1
  • 11
    • 20144383829 scopus 로고    scopus 로고
    • Multiple Bias Modeling for Analysis of Epidemiologic Data (with discussion)
    • -(2005), "Multiple Bias Modeling for Analysis of Epidemiologic Data" (with discussion), Journal of the Royal Statistical Society, Ser. A, 168, 267-306.
    • (2005) Journal of the Royal Statistical Society, Ser. A , vol.168 , pp. 267-306
    • Greenland, S.1
  • 12
    • 15844429309 scopus 로고    scopus 로고
    • On Model Expansion, Model Contraction, Identifiability, and Prior Information: Two Illustrative Scenarios Involving Mismeasured Variables (with discussion)
    • Gustafson, P. (2005a), "On Model Expansion, Model Contraction, Identifiability, and Prior Information: Two Illustrative Scenarios Involving Mismeasured Variables" (with discussion), Statistical Science, 20, 111-140.
    • (2005) Statistical Science , vol.20 , pp. 111-140
    • Gustafson, P.1
  • 13
    • 16844381373 scopus 로고    scopus 로고
    • The Utility of Prior Information and Stratification for Parameter Estimation With Two Screening Tests But No Gold Standard
    • (2005b), "The Utility of Prior Information and Stratification for Parameter Estimation With Two Screening Tests But No Gold Standard," Statistics in Medicine, 24, 1203-1217.
    • Statistics in Medicine , vol.24 , pp. 1203-1217
  • 14
    • 33748802753 scopus 로고    scopus 로고
    • Sample Size Implications When Biases Are Modeled Rather Than Ignored
    • -(2006), "Sample Size Implications When Biases Are Modeled Rather Than Ignored," Journal of the Royal Statistical Society, Ser. A, 165, 865-881.
    • (2006) Journal of the Royal Statistical Society, Ser. A , vol.165 , pp. 865-881
  • 15
    • 35648969491 scopus 로고    scopus 로고
    • Measurement Error Modelling With an Approximate Instrumental Variable
    • -(2007), "Measurement Error Modelling With an Approximate Instrumental Variable," Journal of the Royal Statistical Society, Ser. B, 69, 797-815.
    • (2007) Journal of the Royal Statistical Society, Ser. B , vol.69 , pp. 797-815
  • 16
    • 33745624487 scopus 로고    scopus 로고
    • The Performance of Random Coefficient Regression in Accounting for Residual Confounding
    • Gustafson, P., and Greenland, S. (2006), "The Performance of Random Coefficient Regression in Accounting for Residual Confounding," Biometrics, 62, 760-768.
    • (2006) Biometrics , vol.62 , pp. 760-768
    • Gustafson, P.1    Greenland, S.2
  • 18
    • 0034997533 scopus 로고    scopus 로고
    • Case-Control Analysis With Partial Knowledge of Exposure Misclassification Probabilities
    • Gustafson, P., Le, N. D., and Saskin, R. (2001), "Case-Control Analysis With Partial Knowledge of Exposure Misclassification Probabilities," Biometrics, 57, 598-609.
    • (2001) Biometrics , vol.57 , pp. 598-609
    • Gustafson, P.1    Le, N.D.2    Saskin, R.3
  • 19
    • 74049116698 scopus 로고    scopus 로고
    • Comment on "On Model Expansion, Model Contraction, Identifiability, and Prior Information: Two Illustrative Scenarios Involving Mismeasured Variables," by P. Gustafson
    • Hanson, T. E., and Johnson, W. O. (2005), Comment on "On Model Expansion, Model Contraction, Identifiability, and Prior Information: Two Illustrative Scenarios Involving Mismeasured Variables," by P. Gustafson, Statistical Science, 20, 131-134.
    • (2005) Statistical Science , vol.20 , pp. 131-134
    • Hanson, T.E.1    Johnson, W.O.2
  • 21
    • 0018987004 scopus 로고
    • Estimating the Error Rates of Diagnostic Tests
    • Hui, S. L., and Walter, S. D. (1980), "Estimating the Error Rates of Diagnostic Tests," Biometrics, 36, 167-171.
    • (1980) Biometrics , vol.36 , pp. 167-171
    • Hui, S.L.1    Walter, S.D.2
  • 22
    • 0031772593 scopus 로고    scopus 로고
    • Evaluation of Diagnostic Tests Without Gold Standards
    • Hui, S. L., and Zhou, X. H. (1998), "Evaluation of Diagnostic Tests Without Gold Standards," Statistical Methods in Medical Research, 7, 354-370.
    • (1998) Statistical Methods in Medical Research , vol.7 , pp. 354-370
    • Hui, S.L.1    Zhou, X.H.2
  • 23
    • 42149190098 scopus 로고    scopus 로고
    • Use of Instrumental Variables in the Analysis of Generalized Linear Models in the Presence of Unmeasured Confounding With Applications to Epidemiological Research
    • Johnston, K., Gustafson, P., Levy, A. R., and Grootendorst, P. (2008), "Use of Instrumental Variables in the Analysis of Generalized Linear Models in the Presence of Unmeasured Confounding With Applications to Epidemiological Research," Statistics in Medicine, 27, 1539-1556.
    • (2008) Statistics in Medicine , vol.27 , pp. 1539-1556
    • Johnston, K.1    Gustafson, P.2    Levy, A.R.3    Grootendorst, P.4
  • 24
    • 74049104611 scopus 로고    scopus 로고
    • Identifiability of Models for Multiple Diagnostic Testing in the Absence of a Gold Standard
    • to appear
    • Jones, G., Johnson, W. O., Hanson, T. E., and Christensen, R. (2009), "Identifiability of Models for Multiple Diagnostic Testing in the Absence of a Gold Standard," Biometrics, to appear.
    • (2009) Biometrics
    • Jones, G.1    Johnson, W.O.2    Hanson, T.E.3    Christensen, R.4
  • 25
    • 0033619528 scopus 로고    scopus 로고
    • Evaluating the Exposure and Disease Relationship With Adjustment for Different Types of Exposure Misclassification: A Regression Approach
    • Kosinski, A. S., and Flanders, W. D. (1999), "Evaluating the Exposure and Disease Relationship With Adjustment for Different Types of Exposure Misclassification: A Regression Approach," Statistics in Medicine, 18, 2795-2808.
    • (1999) Statistics in Medicine , vol.18 , pp. 2795-2808
    • Kosinski, A.S.1    Flanders, W.D.2
  • 26
    • 53349102224 scopus 로고    scopus 로고
    • Bayesian Latent Class Models With Conditionally Dependent Diagnostic Tests: A Case Study
    • Menten, J., Boelaert, M., and Lesaffre, E. (2008), "Bayesian Latent Class Models With Conditionally Dependent Diagnostic Tests: A Case Study," Statistics in Medicine, 27, 4469-4488.
    • (2008) Statistics in Medicine , vol.27 , pp. 4469-4488
    • Menten, J.1    Boelaert, M.2    Lesaffre, E.3
  • 27
    • 0031536541 scopus 로고    scopus 로고
    • On the Efficacy of Bayesian Inference for Nonidentifiable Models
    • Neath, A. A., and Samaniego, F. J. (1997), "On the Efficacy of Bayesian Inference for Nonidentifiable Models," The American Statistician, 51, 225-232.
    • (1997) The American Statistician , vol.51 , pp. 225-232
    • Neath, A.A.1    Samaniego, F.J.2
  • 29
    • 17944363580 scopus 로고    scopus 로고
    • Revising Beliefs in Nonidentified Models
    • Poirier, D. J. (1998), "Revising Beliefs in Nonidentified Models," Econometric Theory, 14, 483-509.
    • (1998) Econometric Theory , vol.14 , pp. 483-509
    • Poirier, D.J.1
  • 30
    • 0029795558 scopus 로고    scopus 로고
    • Random Effects Models in Latent Class Analysis for Evaluating Accuracy of Diagnostic Tests
    • Qu, Y., Tan, M., and Kutner, M. H. (1996), "Random Effects Models in Latent Class Analysis for Evaluating Accuracy of Diagnostic Tests," Biometrics, 52, 797-810.
    • (1996) Biometrics , vol.52 , pp. 797-810
    • Qu, Y.1    Tan, M.2    Kutner, M.H.3
  • 31
    • 0001727688 scopus 로고
    • Identification in Parametric Models
    • Rothenberg, T. J. (1971), "Identification in Parametric Models," Econometrica, 39, 577-591.
    • (1971) Econometrica , vol.39 , pp. 577-591
    • Rothenberg, T.J.1
  • 32
    • 2942658011 scopus 로고    scopus 로고
    • Incorporating Prior Beliefs About Selection Bias Into the Analysis of Randomized Trials With Missing Outcomes
    • Scharfstein, D. O., Daniels, M. J., and Robins, J. M. (2003), "Incorporating Prior Beliefs About Selection Bias Into the Analysis of Randomized Trials With Missing Outcomes," Biostatistics, 4, 495-512.
    • (2003) Biostatistics , vol.4 , pp. 495-512
    • Scharfstein, D.O.1    Daniels, M.J.2    Robins, J.M.3
  • 33
    • 33845251378 scopus 로고    scopus 로고
    • Estimation of Policy Effects Using Parametric Nonlinear Models: A Contextual Critique of the Generalized Method of Moments
    • Terza, J. V. (2006), "Estimation of Policy Effects Using Parametric Nonlinear Models: A Contextual Critique of the Generalized Method of Moments," Health Services Outcomes and Research Methodology, 6, 177-198.
    • (2006) Health Services Outcomes and Research Methodology , vol.6 , pp. 177-198
    • Terza, J.V.1
  • 34
    • 0030959695 scopus 로고    scopus 로고
    • Effects of Dependent Errors in the Assessment of Diagnostic Test Performance
    • Torrance-Rynard, V. L., and Walter, S. D. (1998), "Effects of Dependent Errors in the Assessment of Diagnostic Test Performance," Statistics in Medicine, 16, 2157-2175.
    • (1998) Statistics in Medicine , vol.16 , pp. 2157-2175
    • Torrance-Rynard, V.L.1    Walter, S.D.2
  • 35
    • 0022308103 scopus 로고
    • The Effect of Conditional Dependence on the Evaluation of Diagnostic Tests
    • Vacek, P. M. (1985), "The Effect of Conditional Dependence on the Evaluation of Diagnostic Tests," Biometrics, 41, 959-968.
    • (1985) Biometrics , vol.41 , pp. 959-968
    • Vacek, P.M.1
  • 36
    • 0041419339 scopus 로고    scopus 로고
    • A Simulation-Based Approach to Bayesian Sample Size Determination for Performance Under a Given Model and for Separating Models
    • Wang, F., and Gelfand, A. E. (2002), "A Simulation-Based Approach to Bayesian Sample Size Determination for Performance Under a Given Model and for Separating Models," Statistical Science, 17, 193-208.
    • (2002) Statistical Science , vol.17 , pp. 193-208
    • Wang, F.1    Gelfand, A.E.2
  • 37
    • 33744977705 scopus 로고    scopus 로고
    • Measures of Bayesian Learning and Identifiability in Hierarchical Models
    • Xie, Y., and Carlin, B. P. (2006), "Measures of Bayesian Learning and Identifiability in Hierarchical Models," Journal of Statistical Planning and Inference, 136, 3458-3477.
    • (2006) Journal of Statistical Planning and Inference , vol.136 , pp. 3458-3477
    • Xie, Y.1    Carlin, B.P.2


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