An example of complex modelling in dentistry using Markov chain Monte Carlo (MCMC) simulation

Community Dental Health

Volumn 19, Issue 3, 2002, Pages 152-160

  Helfenstein, Ulrich ^a   Menghini, Giorgio ^a   Steiner, Marcel ^a   Murati, Francesca ^b  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b School Dental Clinic of Geneva   (Switzerland)

Author keywords

Bayesian statistics; BUGS; Complex models; Dental caries; Markov chain Monte Carlo

Indexed keywords

ARTICLE; BAYES THEOREM; CHILD; COMPUTER GRAPHICS; COMPUTER PROGRAM; DENTAL CARIES; DENTAL RESEARCH; HEALTH SURVEY; HUMAN; METHODOLOGY; MONTE CARLO METHOD; PROBABILITY; REGRESSION ANALYSIS; STATISTICAL MODEL;

BAYES THEOREM; CHILD; COMPUTER GRAPHICS; DENTAL CARIES; DENTAL RESEARCH; DMF INDEX; HUMANS; MARKOV CHAINS; MODELS, STATISTICAL; MONTE CARLO METHOD; REGRESSION ANALYSIS; SOFTWARE;

EID: 0036729592     PISSN: 0265539X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. Casella, G. and George, E.I. (1992): Explaining the Gibbs sampler. American Statistician 46, 167-174.
2. Edwards, D. (1995): Introduction to Graphical Modelling. New York: Springer-Verlag.
3. Gelman, A., Carlin, J.B., Stern, H.S. and Rubin, D.B. (1995): Bayesian Data Analysis. London: Chapman and Hall.
4. Gilks, W.R., Thomas, A. and Spiegelhalter, D.J. (1994): A language and program for complex Bayesian modelling. The Statistician 43, 169-178.
5. Gilks, W.R., Richardson, S. and Spiegelhalter, D.J. (1996): Markov Chain Monte Carlo in Practice. London: Chapman and Hall.
6. Gilthorpe, M.S., Griffiths, G.S., Maddick, I.H. and Zamzuri, A.T. (2000a): The application of multilevel modelling to periodontal research data. Community Dental Health 17, 227-235.
7. Gilthorpe, M.S., Maddick, I.H. and Petrie, A. (2000b): Introduction to Bayesian modelling in dental research. Community Dental Health 17, 218-221.
8. Gilthorpe, M.S., Maddick, I H. and Petrie, A. (2000c): Introduction to multilevel modelling in dental research. Community Dental Health 17, 222-226.
9. Helfenstein, U. and Steiner, M. (1994): The use of logistic discrimination and receiver operating characteristic (ROC) analysis in dentistry. Community Dental Health 11, 142-146.
10. Helfenstein, U., Steiner, M. and Menghini, G. (1997): The use of genereralised additive models (GAM) in dentistry. Community Dental Health 14, 221-226.
11. Helfenstein, U., Steiner, M. and Menghini, G. (1999): An outline of graphical Markov models in dentistry. Community Dental Health 16, 220-226.
12. Lauritzen, S.L., Dawid, A.P., Larsen, B.N. and Leimer, H.G. (1990): Independence properties of directed Markov fields. Networks 20, 491-505.
13. Lewsey, J.D., Gilthorpe, M.S., Bulman, J.S. and Bedi, R. (2000): Is modelling dental caries a 'normal' thing to do? Community Dental Health 17, 212-217.
14. Macfarlane, T.V. and Worthington, H.V. (1999): Some aspects of data analysis in dentistry. Community Dental Health 16, 216-219.
15. MacMahon, S., Peto, R., Cutler, J., Collins, R., Sorlie, P., Neaton, J., Abbott, R., Godwin, J., Dyer, A. and Stamler, J. (1990): Blood pressure, stroke and coronary heart disease. Part 1, prolonged differences in blood pressure: prospective observational studies corrected for the regression dilution bias. The Lancet 335, 765-774.
16. McCullagh, P. and Nelder, J.A. (1989): Generalized Linear Models, 2nd Ed. London: Chapman and Hall.
17. Richardson, S. and Gilks, W.R. (1993): A Bayesian approach to measurement error problems in epidemiology using conditional independence models. American Journal of Epidemiology 138, 430-442.
18. Salas-Wadge, M.H. (1994): Use of linear multiple regression on dental survey data. Community Dental Health 11, 197-201.
19. Smith, A.F.M. and Gelfand, A.E. (1992): Bayesian statistics without tears: a sampling-resampling perspective. American Statistician 46, 84-88.
20. Spiegelhalter, D.J., Myles, J.P., Jones, D.R. and Abrams, K.R. (1999): An introduction to Bayesian methods in health technology assessment. British Medical Journal 319, 508-512.
21. Spiegelhalter, D.J., Thomas, A., Best, N.G. and Gilks, W.R. (1997): BUGS: Bayesian Inference Using Gibbs Sampling, Version 0.60. MRC Biostatistics Unit, Cambridge.
22. Steiner, M., Helfenstein, U. and Marthaler, T.M. (1992): Dental predictors of high caries increment. Journal of Dental Research 71(12), 1926-1933.
23. Thomas, A., Spiegelhalter, D.J. and Gilks, W.R. (1992): BUGS: a program to perform Bayesian inferencs using Gibbs Sampling. In: Bayesian Statistics 4, eds. Bernardo, J.M., Berger, J.O., Dawid, A.P. and Smith, A.F.M. Oxford: Oxford University Press. 837-842.
24. Whittaker, J. (1990): Graphical Models in Applied Multivariate Statistics. New York: Wiley.