Bayesian model checking for multivariate outcome data

Computational Statistics and Data Analysis

Volumn 53, Issue 11, 2009, Pages 3765-3772

  Crespi, Catherine M ^a   Boscardin, W John ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN MODEL; DATA VECTORS; DIAGNOSTIC METHODS; DISSIMILARITY MEASURES; LONGITUDINAL BINARY DATA; MODEL FIT; MODEL PREDICTION; MULTIVARIATE DATA; OBSERVED DATA; PREDICTIVE MODELS; REPLICATED DATA;

BAYESIAN NETWORKS;

MODEL CHECKING;

EID: 67349270996     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2009.03.024     Document Type: Article

References (38)

1. Agresti A. Categorical Data Analysis (1990), John Wiley and Sons, New York
2. Carlin J., Brown H., Gelman A., and Wolfe R. Alternative models for longitudinal binary outcome data: A case study on their choice, interpretation and checking. Biostatistics 2 (2001) 397-416
3. Congdon P. Bayesian Statistical Modelling (2001), John Wiley and Sons, Chichester, West Sussex, England
4. Corey L., and Wald A. Genital herpes. In: Holmes K.K., et al. (Ed). Sexually Transmitted Diseases (1999), McGraw-Hill, New York 285-312
5. Crespi C.M., Cumberland W.G., and Blower S. A queueing model for chronic recurrent conditions under panel observation. Biometrics 61 (2005) 194-199
6. Crespi C.M., Cumberland W.G., Wald A., Corey L., and Blower S. Longitudinal study of herpes simplex virus type 2 infection using viral dynamic modeling. Sexually Transmitted Infections 83 (2007) 359-364
7. Cressie N.A.C. Statistics for Spatial Data (1993), John Wiley and Sons, New York, NY
8. Dey D.K., Gelfand A.E., Swartz T.B., and Vlachos P.K. A simulation-intensive approach for checking hierarchical models. Test 7 2 (1998) 323-344
9. Diggle P., Heagerty P., Liang K.-Y., and Zeger S. Analysis of Longitudinal Data. 2nd Edition (2002), Oxford University Press, Oxford, UK
10. Draper, D., Krnjajic, M., 2007. Bayesian Model Specification. Technical Report ams2007-09. Department of Mathematics and Statistics, University of California, Santa Cruz, available at http://ams.ucsc.edu/reports/trview.php
11. Duffull S.B., Kirkpatrick C.M.J., Green B., and Holford N.H.G. Analysis of population pharmacokinetic data using NONMEM and WinBUGS. Journal of Biopharmaceutical Statistics 15 1 (2005) 53-73
12. Everitt B.S., Landau S., and Leese M. Cluster Analysis. 4th Edition (2001), Arnold Publishing
13. Gelman A. Comment on "Bayesian checking of the second level of hierarchical models: Cross-validated posterior predictive checks using discrepancy measures" by M.J. Bayarri and M.E. Castellanos. Statistical Science 22 (2007) 349-352
14. Gelman A., Carlin J.B., Stern H.S., and Rubin D.B. Bayesian Data Analysis (2004), Chapman & Hall/CRC, Boca Raton
15. Gelman A., Goegebeur Y., Tuerlinckx F., and Mechelen I.V. Diagnostic checks for discrete-data regression models using posterior predictive simulations. Applied Statistics 49 (2000) 247-268
16. Gelman A., Meng X.-L., and Stern H. Posterior predictive assessment of model fitness via realized discrepancies. Statistica Sinica 66 (1996) 733-807
17. Gibbons J. Nonparametric Methods for Quantitative Analysis (1997), American Sciences Press Inc., Columbus Ohio
18. Hamilton J.D. Time Series Analysis (1994), Princeton University Press, Princeton, NJ
19. Kamarainen J.-K., Kyrki V., Ilonen J., and Kalviainen H. Improving similarity measures of histograms using smoothing projections. Pattern Recognition Letters 24 (2003) 2009-2019
20. Laird N.M., and Ware J.H. Random-effects models for longitudinal data. Biometrics 38 (1982) 963-974
21. Lewin A., Richardson S., Marshall C., Glazier A., and Aitman T. Bayesian modeling of differential gene expression. Biometrics 62 1 (2006) 1-9
22. Macdonald I.L., and Zucchini W. Hidden Markov and Other Models for Discrete-Valued Time Series (1997), Chapman and Hall, New York
23. Mardia K.V., Kent J.T., and Bibby J.M. Multivariate Analysis (1979), Academic Press, London
24. O'Hagan, A., 20199501, Fractional Bayes factors for model comparison, Journal of the Royal Statistical Society Series B 57, 99-138
25. In: O'Hagan A., and Forster J. (Eds). Bayesian Inference (2004), Arnold Publishers, London
26. Pinheiro J.C., Liu C.H., and Wu. Y.N. Efficient algorithms for robust estimation in linear mixed-effects models using the multivariate t distribution. Journal of Computational and Graphical Statistics 10 (2001) 249-276
27. Robins J.M., van der Vaart A., and Ventura V. The asymptotic distribution of p-values in composite null models. Journal of the American Statistical Association 95 (2000) 1143-1172
28. Ross S.M. Introduction to Probability Models (2003), Academic Press, San Diego
29. Rubin D.B. Bayesianly justifiable and relevant frequency calculations for the applied statistician. Annals of Statistics 12 (1984) 1151-1172
30. Seber G.A.F. Multivariate Observations (1984), John Wiley and Sons, New York
31. Sibson R. Order invariance methods for data analysis. Journal of the Royal Statistical Society Series B 34 (1972) 311-349
32. Sinharay S., Johnson M.S., and Stern H.S. Posterior predictive assessment of item response theory models. Applied Psychological Measurement 30 4 (2006) 298-321
33. Sinharay S., and Stern H.S. Posterior predictive model checking in hierarchical models. Journal of Statistical Planning and Inference 11 1-2 (2003) 209-221
34. In: Speed T. (Ed). Statistical Analysis of Gene Expression Microarray Data (2003), Chapman Hall/CRC, CRC Press, Boca Raton, FL
35. Spiegelhalter D., Best N., Carlin B., and van der Linde A. Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society Series B 64 (2002) 583-639
36. Spiegelhalter, D., Thomas, A., Best, N., Lunn, D., 2003, WinBUGS Version 1.4 Users Manual. MRC Biostatistics Unit. Cambridge, UK
37. Wald A., Corey L., Cone R., Hobson A., Davis G., and Zeh J. Frequent genital herpes virus 2 shedding in immunocompetent women: Effect of acyclovir treatment. Journal of Clinical Investigation 99 (1997) 1092-1097
38. Wald A., Zeh J., Barnum G., Davis L.G., and Corey L. Suppression of subclinical shedding of herpes simplex virus type 2 with acyclovir. Annals of Internal Medicine 124 (1996) 8-15