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Applications and Case Studies

A Nested Dirichlet Process Analysis of Cluster Randomized Trial Data With Application in Geriatric Care Assessment

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Pages 48-68 | Received 01 May 2011, Published online: 15 Mar 2013

REFERENCES

  • Agresti , A. , Caffo , B. and Ohman-Strickland , P. 2004 . “Examples in Which Misspecification of a Random Effects Distribution Reduces Efficiency, and Possible Remedies,” . Computational Statistics & Data Analysis , 47 : 639 – 653 .
  • Antoniak , C. E. 1974 . “Mixtures of Dirichlet Processes With Applications to Nonparametric Problems,” . The Annals of Statistics , 2 : 1152 – 1174 .
  • Asch , S. M. , Sloss , E. M. , Hogan , C. , Brook , R. H. and Kravitz , R. L. 2000 . “Measuring Underuse and Necessary Care Among Elderly Medicare Beneficiaries Using Inpatient and Outpatient Claims,” . Journal of the American Medical Association , 284 : 2325 – 2333 .
  • Azzalini , A. 1985 . “A Class of Distributions Which Includes the Normal Ones,” . Scandinavian Journal of Statistics , 12 : 171 – 178 .
  • Bland , J. M. 2004 . “Cluster Randomised Trials in the Medical Literature: Two Bibliometric Surveys,” . BMC Medical Research Methodology , 4 : 1 – 6 .
  • Böhning , D. 2000 . Computer-Assisted Analysis of Mixtures and Applications: Meta-Analysis, Disease Mapping and Others , Boca Raton, FL : Chapman and Hall-CRC .
  • Boult , C. , Boult , L. and Pacala , J. 1998 . “Systems of Care for Older Populations of the Future,” . Journal of the American Geriatrics Society , 46 : 499 – 505 .
  • Branscum , A. and Hanson , T. E. 2008 . “Bayesian Nonparametric Meta-Analysis Using Pólya Tree Mixture Models,” . Biometrics , 64 : 825 – 833 .
  • Brown , E. R. and Ibrahim , J. G. 2003 . “Bayesian Approaches to Joint Cure-rate and Longitudinal Models With Applications to Cancer Vaccine Trials,” . Biometrics , 59 : 686 – 693 .
  • Brown , H. and Prescott , R. 1999 . Applied Mixed Models in Medicine , New York : Wiley .
  • Burr , D. and Doss , H. 2005 . “A Bayesian Semiparametric Model for Random-effects Meta-analysis,” . Journal of the American Statistical Association , 100 : 242 – 251 .
  • Burr , D. , Doss , H. , Cooke , G. E. and Goldschmidt-Clermont , P. J. 2003 . “A Meta-Analysis of Studies on the Association of the Platelet PlA Polymorphism of Glycoprotein IIIa and Risk of Coronary Heart Disease,” . Statistics in Medicine , 22 : 1741 – 1760 .
  • Callahan , C. M. , Stump , T. E. , Stroupe , K. T. and Tierney , W. M. 1998 . “Cost of Health Care for a Community of Older Adults in an Urban Academic Health Care System,” . Journal of the American Geriatrics Society , 46 : 1371 – 1377 .
  • Campbell , M. K. , Elbourne , D. R. and Altman , D. C. 2004 . “CONSORT Statement: Extension to Cluster Randomised Trials,” . British Medical Journal , 328 : 702 – 708 .
  • Campbell , M. K. , Mollison , J. and Grimshaw , J. M. 2001 . “Cluster Trials in Implementation Research: Estimation of Intracluster Correlation Coefficients and Sample Size,” . Statistics in Medicine , 20 : 391 – 399 .
  • Chen , M.-H. , Ibrahim , J. G. , Lam , P. , Yu , A. and Zhang , Y. 2011 . “Bayesian Design of Noninferiority Trials for Medical Devices Using Historical Data,” . Biometrics , 67 : 1163 – 1170 .
  • Chen , M.-H. , Shao , Q. M. and Ibrahim , J. G. 2000 . Monte Carlo Methods in Bayesian Computation , Berlin and New York : Springer-Verlag .
  • Counsell , S. R. , Callahan , C. M. , Clark , D. O. , Tu , W. , Buttar , A. B. , Stump , T. E. and Ricketts , G. D. 2007 . “Geriatric Care Management for Low-Income Seniors,” . Journal of the American Medical Association , 298 : 2623 – 2633 .
  • Counsell , S. R. , Holder , C. M. , Liebenauer , L. L. , Palmer , R. M. , Fortinsky , R. H. , Kresevic , D. M. , Quinn , L. M. , Allen , K. R. , Covinsky , K. E. and Landefeld , C. S. 2000 . “Effects of a Multicomponent Intervention on Functional Outcomes and Process of Care in Hospitalized Older Patients: A Randomized Controlled Trial of Acute Care for Elders (ACE) in a Community Hospital,” . Journal of the American Geriatrics Society , 48 : 1572 – 1581 .
  • Di , C.-Z. and Bandeen-Roche , K. 2011 . “Multilevel Latent Class Models With Dirichlet Mixing Distribution,” . Biometrics , 67 : 86 – 96 .
  • Donner , A. and Klar , N. 2000 . Design and Analysis of Cluster Randomization Trials in Health Research , London , , UK : Arnold Publishers Limited .
  • Dunson , D. B. 2008 . “Nonparametric Bayes Applications to Biostatistics,” . In Bayesian Nonparametrics , Edited by: Hjort , N. L. , Holmes , C. , Müller , P. and Walker , S. G. 223 – 273 . Cambridge : Cambridge University Press .
  • Escobar , M. D. 1988 . “Estimating the Means of Several Normal Populations by Nonparametric Estimation of the Distribution of the Means,” . unpublished Ph.D. dissertation, Department of Statistics, Yale University
  • Escobar , M. D. 1994 . “Estimating Normal Means With a Dirichlet Process Prior,” . Journal of the American Statistical Association , 89 : 268 – 277 .
  • Escobar , M. D. and West , M. 1995 . “Bayesian Density Estimation and Inference Using Mixtures,” . Journal of the American Statistical Association , 90 : 577 – 588 .
  • Ferguson , T. S. 1973 . “A Bayesian Analysis of Some Nonparametric Problems,” . The Annals of Statistics , 1 : 209 – 230 .
  • Geisser , I. and Eddy , W. 1979 . “A Predictive Approach to Model Selection,” . Journal of the American Statistical Association , 74 : 153 – 160 .
  • Gelfand , A. E. , Dey , D. K. and Chang , H. 1992 . “Model Determination Using Predictive Distributions With Implementation via Sampling-Based Methods” (with discussion) ” . In Bayesian Statistics (Vol. 4) , Edited by: Bernardo , J. M. , Berger , J. O. , Dawid , A. P. and Smith , A. F. M. 147 – 159 . Oxford : Oxford University Press .
  • Ghidey , W. , Lesaffre , E. and Eilers , P. 2004 . “Smooth Random Effects Distribution in a Linear Mixed Model,” . Biometrics , 60 : 945 – 953 .
  • Ghosh , P. , Basu , S. and Tiwari , R. C. 2009 . “Bayesian Analysis of Cancer Rates From SEER Program Using Parametric and Semiparametric Joinpoint Regression Models,” . Journal of the American Statistical Association , 104 : 439 – 452 .
  • Ghosh , K. , Ghosh , P. and Tiwari , R. C. 2008 . Comment on “The Nested Dirichlet Process (By Rodríguez, Dunson and Gelfand),” . Journal of the American Statistical Association , 103 : 1147 – 1149 .
  • Higgins , J. P. T. , Thompson , S. G. and Spiegelhalter , D. J. 2009 . “A Re-Evaluation of Random-Effects Meta-Analysis,” . Journal of the Royal Statistical Society, Series A , 172 : 139 – 159 .
  • Ishwaran , H. and James , L. F. 2001 . “Gibbs Sampling Methods for Stick-Breaking Priors,” . Journal of the American Statistical Association , 96 : 161 – 173 .
  • Jackel , L. A. 1972 . “Estimating Regression Coefficients by Minimizing the Dispersion of Residuals,” . Annals of Mathematical Statistics , 43 : 1449 – 1458 .
  • Jencks , S. F. , Cuerdon , T. , Burwen , D. R. , Fleming , B. , Houck , P. M. , Kussmaul , A. E. , Nilasena , D. S. , Ordin , D. L. and Arday , D. R. 2000 . “Quality of Medical Care Delivered to Medicare Beneficiaries: A Profile at State and National Levels,” . Journal of the American Medical Association , 284 : 1670 – 1676 .
  • Landefeld , C. S. , Palmer , R. M. , Kresevic , D. M. , Fortinsky , R. H. and Kowal , J. 1995 . “A Randomized Trial of Care in a Hospital Medical Unit Especially Designed to Improve the Functional Outcomes of Acutely ill Older Patients,” . The New England Journal of Medicine , 332 : 1338 – 1344 .
  • Lee , K. J. and Thompson , S. G. 2007 . “Flexible Parametric Models for Random-Effects Distributions,” . Statistics in Medicine , 27 : 418 – 434 .
  • Litiére , S. , Alonso , A. and Molenberghs , G. 2007 . “Type I and Type II Error Under Random Effects Misspecification in Generalized Linear Mixed Models,” . Biometrics , 63 : 1038 – 1044 .
  • Lo , A. Y. 1978 . “Bayesian Nonparametric Density Methods,” . Technical Report, Department of Statistics, University of California, Berkeley
  • Lo , A. Y. 1984 . “On a Class of Bayesian Nonparametric Estimates. 1. Density Estimates,” . The Annals of Statistics , 12 : 351 – 357 .
  • MedPAC. 2005 . A Data Book: Healthcare Spending and the Medicare Program, June 2005, MedPAC Report , 12 – 20 . Washington , DC : MedPAC .
  • Moher , D. , Schulz , K. F. and Altman , D. G. 2001a . “The CONSORT Statement: Revised Recommendations for Improving the Quality of Reports of Parallel-Group Randomized Trials,” . Journal of the American Medical Association , 285 : 1987 – 1991 .
  • Moher , D. , Schulz , K. F. and Altman , D. G. 2001b . “The CONSORT Statement: Revised Recommendations for Improving the Quality of Reports of Parallel-Group Randomized Trials,” . Annals of Internal Medicine , 134 : 657 – 662 .
  • Ohlssen , D. I. , Sharples , L. D. and Spiegelhalter , D. J. 2007 . “Flexible Random-effects Models Using Bayesian Semi-parametric Models: Applications to Institutional Comparisons,” . Statistics in Medicine , 26 : 2088 – 2112 .
  • Pfeiffer , E. 1975 . “A Short Portable Mental Status Questionnaire for the Assessment of Organic Brain Deficit in Elderly Patients,” . Journal of the American Geriatrics Society , 23 : 433 – 441 .
  • Rashid , M. M. 2003 . “Rank-based Test for Non-inferiority and Equivalence Hypotheses in Multi-cluster Clinical Trials Using Mixed Models,” . Statistics in Medicine , 22 : 291 – 311 .
  • Reuben , D. B. 2002 . “Organizational Interventions to Improve Health Outcomes of Older Persons,” . Medical Care , 40 : 416 – 428 .
  • Rodríguez , A. 2007 . “Some Advances in Bayesian Nonparametric Modeling,” . unpublished Ph.D. dissertation, Institute of Statistics and Decision Sciences, Duke University
  • Rodríguez , A. , Dunson , D. B. and Gelfand , A. E. 2008 . “The Nested Dirichlet Process,” . Journal of the American Statistical Association , 103 : 1131 – 1154 .
  • Sethuraman , J. 1994 . “A Constructive Definition of Dirichlet Priors,” . Statistica Sinica , 4 : 639 – 650 .
  • Sethuraman , J. and Tiwari , R. C. 1982 . “Convergence of Dirichlet Measure and the Interpretation of Their Parameters,” . In Statistical Decisions Theory and Related Topics III (Vol. 2) , Edited by: Gupta , S. and Berger , J. O. 305 – 315 . New York: Academic Press .
  • Tchetgen , E. and Coull , B. 2006 . “A Diagnostic Test for the Mixing Distribution in a Generalized Linear Mixed Model,” . Biometrika , 93 : 1003 – 1010 .
  • Verbeke , G. and Molenberghs , G. 2000 . Linear Mixed Model for Longitudinal Data , New York: Springer .
  • Walker , S. G. and Mallick , B. K. 1997 . “Hierarchical Generalized Linear Models and Frailty Models With Bayesian Nonparametric Mixing,” . Journal of the Royal Statistical Society, Series B , 59 : 845 – 860 .
  • Ware , J. E. , Kosinski , M. and Keller , S. D. 1994 . SF-36® Physical and Mental Health Summary Scales: A User’s Manual , Boston , MA : The Health Institute, New England Medical Cluster .
  • Wenger , N. S. , Solomon , D. H. , Roth , C. P. , MacLean , C. H. , Saliba , D. , Kamberg , C. J. , Rubenstein , L. Z. , Young , R. T. , Sloss , E. M. , Louie , R. , Adams , J. , Chang , J. T. , Venus , P. J. , Schnelle , J. F. and Shekelle , P. G. 2003 . “The Quality of Medical Care Provided to Vulnerable Community-Dwelling Older Patients,” . Annals of Internal Medicine , 139 : 740 – 747 .
  • Wolff , J. L. and Boult , C. 2005 . “Moving Beyond Round Pegs and Square Holes: Restructuring Medicare to Improve Chronic Care,” . Annals of Internal Medicine , 143 : 439 – 445 .

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