494
Views
13
CrossRef citations to date
0
Altmetric
Applications and Case Studies

Modeling of Multivariate Monotone Disease Processes in the Presence of Misclassification

, , &
Pages 976-989 | Received 01 Sep 2010, Published online: 08 Oct 2012

REFERENCES

  • Albert , P. S. , Hunsberger , S. A. and Biro , F. M. 1997 . “Modeling Repeated Measures With Monotonic Ordinal Responses and Misclassification, With Applications to Studying Maturation,” . Journal of American Statistical Association , 92 : 1304 – 1311 .
  • Arnold , B. , Castillo , E. and Sarabia , J. M. 1992 . Conditionally Specified Distributions , Berlin : Springer-Verlag .
  • Azzalini , A. 1994 . “Logistic Regression for Autocorrelated Data With Application to Repeated Measures,” . Biometrika , 81 : 767 – 775 . (correction: 1997, 84, 989)
  • Banerjee , S. , Wall , M. M. and Carlin , B. P. 2003 . “Frailty Modeling for Spatially Correlated Survival Data, With Application to Infant Mortality in Minnesota,” . Biostatistics , 4 : 123 – 142 .
  • Bedrick , E. J. , Christensen , R. and Johnson , W. 1996 . “A New Perspective on Priors for Generalized Linear Models,” . Journal of the American Statistical Association , 91 : 1450 – 1460 .
  • Besag , J. 1974 . “Spatial Interaction and the Statistical Analysis of Lattice Systems,” . Journal of the Royal Statistical Society, Series B , 36 : 192 – 236 .
  • Besag , J. , Green , P. , Higdon , D. and Mengersen , K. 1995 . “Bayesian Computation and Stochastic Systems” (with discussion) . Statistical Science , 10 : 3 – 66 .
  • Besag , J. , York , J. and Mollié , A. 1991 . “Bayesian Image Restoration, With Two Applications in Spatial Statistics,” . The Annals of the Institute of Statistical Mathematics , 43 : 1 – 20 .
  • Buonaccorsi , J. P. 2010 . Measurement Error , London : Chapman & Hall/CRC .
  • Chen , M. H. and Shao , Q. M. 1999 . “Monte Carlo Estimation of Bayesian Credible and HPD Intervals,” . Journal of Computational and Graphical Statistics , 8 ( 1 ) : 69 – 92 .
  • Cook , R. J. , Ng , E. T. M. and Meade , M. O. 2000 . “Estimation of Operating Characteristics for Dependent Diagnostic Tests Based on Latent Markov Models,” . Biometrics , 56 : 1109 – 1117 .
  • Espeland , M. A. , Murphy , W. C. and Leverett , D. H. 1988 . “Assessing Diagnostic Reliability and Estimating Incidence Rates Associated With a Strictly Progressive Disease: Dental Caries,” . Statistics in Medicine , 7 : 403 – 416 .
  • Espeland , M. A. , Platt , O. S. and Gallagher , D. 1989 . “Joint Estimation of Incidence and Diagnostic Error Rates From Irregular Longitudinal Data,” . Journal of the American Statistical Association , 84 ( 408 ) : 972 – 979 .
  • Gamerman , D. 1997 . “Sampling From the Posterior Distribution in Generalized Linear Mixed Models,” . Statistics and Computing , 7 : 57 – 68 .
  • García-Zattera , M. J. , Jara , A. , Lesaffre , E. and Declerck , D. 2007 . “Conditional Independence of a Multivariate Binary Data With an Application in Caries Research,” . Computational Statistics and Data Analysis , 51 : 3223 – 3234 .
  • García-Zattera , M. J. , Mutsvari , T. , Jara , A. , Declerck , D. and Lesaffre , E. 2010 . “Correcting for Misclassification for a Monotone Disease Process With an Application in Dental Research,” . Statistics in Medicine , 29 : 3103 – 3117 .
  • Geisser , S. and Eddy , W. 1979 . “A Predictive Approach to Model Selection,” . Journal of the American Statistical Association , 74 : 153 – 160 .
  • Gelfand , A. E. and Dey , D. 1994 . “Bayesian Model Choice: Asymptotics and Exact Calculations,” . Journal of the Royal Statistical Society, Series B , 56 : 501 – 514 .
  • Heagerty , P. J. 2002 . “Marginalized Transition Models and Likelihood Inference for Longitudinal Categorical Data,” . Biometrics , 58 : 342 – 352 .
  • Heagerty , P. J. and Zeger , S. L. 2000 . “Marginalized Multilevel Models and Likelihood Inference,” . Statistical Science , 15 : 1 – 26 .
  • Held , L. 2004 . “Simultaneous Posterior Probability Statements From Monte Carlo Output,” . Journal of Computational and Graphical Statistics , 13 : 20 – 35 .
  • Joe , H. and Liu , Y. 1996 . “A Model for a Multivariate Binary Response With Covariates Based on Compatible Conditionally Specified Logistic Regressions,” . Statistics and Probability Letters , 31 : 113 – 120 .
  • Küchenhoff , H. , Mwalili , S. M. and Lesaffre , E. 2006 . “A General Method for Dealing With Misclassification in Regression: The Misclassification SIMEX,” . Biometrics , 62 : 85 – 96 .
  • Little , R. J. A. and Rubin , D. 2002 . Statistical Analysis With Missing Data (2nd ed.) , New York : John Wiley .
  • Luan , X. , Pan , W. , Gerberich , S. G. and Carlin , B. P. 2005 . “Does It Always Help to Adjust for Misclassification of a Binary Outcome in Logistic Regression?,” . Statistics in Medicine , 24 : 2221 – 2234 .
  • Mwalili , S. M. , Lesaffre , E. and Declerck , D. 2005 . “A Bayesian Ordinal Logistic Regression Model to Correct for Interobserver Measurement Error in a Geographical Oral Health Study,” . Journal of the Royal Statistical Society, Series C , 54 : 77 – 93 .
  • Nagelkerke , N. J. D. , Chunge , R. N. and Kinot , S. N. 1990 . “Estimation of Parasitic Infection Dynamics When Detectability Is Imperfect,” . Statistics in Medicine , 9 : 1211 – 1219 .
  • Neal , R. M. 2003 . “Slice Sampling,” . The Annals of Statistics , 31 : 705 – 767 .
  • Neuhaus , J. M. 1999 . “Bias and Efficiency Loss Due to Misclassified Responses in Binary Regression,” . Biometrika , 86 ( 4 ) : 843 – 855 .
  • Neuhaus , J. M. 2002 . “Analysis of Clustered and Longitudinal Binary Data Subject to Response Misclassification,” . Biometrics , 58 : 675 – 683 .
  • Pitts , N. B. , Evans , D. J. and Pine , C. M. 1997 . “British Association for the Study of Community Dentistry (BASCD) Diagnostic Criteria for Caries Prevalence Surveys—1996/97,” . Community Dental Health , 14 ( Suppl. 1 ) : 6 – 9 .
  • R Development Core Team . 2012 . R: A Language and Environment for Statistical Computing , Vienna : R Foundation for Statistical Computing . Available at http://www.R-project.org
  • Reis , A. , Medeiros Mendes , F. , Angnes , V. , Angnes , G. , Miranda Grande , R. H. and Dourado Loguercio , A. 2006 . “Performance of Methods of Occlusal Caries Detection in Permanent Teeth Under Clinical and Laboratory Conditions,” . Journal of Dentistry , 34 : 89 – 96 .
  • Rosychuk , R. J. and Islam , M. S. 2009 . “Parameter Estimation in a Model for Misclassified Markov Data—a Bayesian Approach,” . Computational Statistics and Data Analysis , 53 : 3805 – 3816 .
  • Rosychuk , R. J. and Thompson , M. E. 2001 . “A Semi-Markov Model for Binary Longitudinal Responses Subject to Misclassification,” . Canadian Journal of Statistics , 19 : 394 – 404 .
  • Rosychuk , R. J. and Thompson , M. E. 2003 . “Bias Correction of Two-State Latent Markov Process Parameter Estimates Under Misclassification,” . Statistics in Medicine , 22 : 2035 – 2055 .
  • Schmid , C. H. , Segal , M. R. and Rosner , B. 1994 . “Incorporating Measurement Error in the Estimation of Autoregressive Models for Longitudinal Data,” . Journal of Statistical Planning and Inference , 42 ( 1–2 ) : 1 – 18 .
  • Singh , A. C. and Rao , J. N. K. 1995 . “On the Adjustment of Gross Flow Estimates for Classification Error With Application to Data From the Canadian Labour Force Survey,” . Journal of the American Statistical Association , 90 ( 430 ) : 478 – 488 .
  • Smith , B. J. 2007 . “An R Package for MCMC Output Convergence Assessment and Posterior Inference,” . Journal of Statistical Software , 21 ( 11 ) : 1 – 37 .
  • Spiegelhalter , S. D. , Best , N. G. , Carlin , B. P. and Van der Linde , A. 2002 . “Bayesian Measures of Model Complexity and Fit,” . Journal of the Royal Statistical Society, Series B , 64 : 583 – 639 .
  • Su , L. and Hogan , J. W. 2008 . “Bayesian Semiparametric Regression for Longitudinal Binary Processes With Missing Data,” . Statistics in Medicine , 27 : 3247 – 3268 .
  • Teicher , H. 1967 . “Identifiability of Mixtures of Product Measures,” . The Annals of Mathematical Statistics , 38 : 1300 – 1302 .
  • Tierney , R. M. 1994 . “Markov Chains for Exploring the Posterior Distribution (with discussion),” . The Annals of Statistics , 22 : 1701 – 1762 .
  • Vanobbergen , J. , Martens , L. , Lesaffre , E. and Declerck , D. 2000 . “The Signal-Tandmobiel Project, a Longitudinal Intervention Health Promotion Study in Flanders (Belgium): Baseline and First Year Results,” . European Journal of Paediatric Dentistry , 2 : 87 – 96 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.