Bias in Penalized Quasi-Likelihood Estimation in Random Effects Logistic Regression Models When the Random Effects Are not Normally Distributed

References

• Austin , P. C. A Bayesian logistic-mixture of normals hierarchical model for hospital mortality . 1 – 19 .
   Google Scholar
• Burgess , J. F. Jr. , Christiansen , C. L. , Michalak , S. E. , Morris , C. N. ( 2000 ). Medical profiling: improving standards and risk adjustments using hierarchical models . J. Health Econ. 19 : 291 – 309 . [PUBMED] [INFOTRIEVE] [CROSSREF]
   PubMed Web of Science ®Google Scholar
• DeLong , E. R. , Peterson , E. D. , DeLong , D. M. , Muhlbaier , L. H. , Hackett , S. , Mark , D. B. ( 1997 ). Comparing risk-adjustment methods for provider profiling . Statist. Med. 16 : 2645 – 2664 . [CROSSREF]
   PubMed Web of Science ®Google Scholar
• Gatsonis , C. , Normand , S. L. , Liu , C. , Morris , C. ( 1993 ). Geographic variation of procedure utilization: A hierarchical model approach . Medical Care 31 : YS54 – YS59 . [PUBMED] [INFOTRIEVE]
   PubMed Web of Science ®Google Scholar
• Gatsonis , C. A. , Epstein , A. M. , Newhouse , J. P. , Normand , S. L. , McNeil , B. J. ( 1995 ). Variations in the utilization of coronary angiography for elderly patients with an acute myocardial infarction. An analysis using hierarchical logistic regression . Medical Care 33 : 625 – 642 . [PUBMED] [INFOTRIEVE]
   PubMed Web of Science ®Google Scholar
• Gilks , W. R. , Richardson , S. , Spiegelhalter , D. J. ( 1996 ). Introducing Markov chain Monte Carlo . In: Gilks , W. R. , Richardson , S. , Spiegelhalter , D. J. eds. London : Chapman & Hall .
   Google Scholar
• Goldstein , H. , Spiegelhalter , D. J. ( 1996 ). League tables and their limitations: statistical issues in comparisons of institutional performance . J. Roy. Statist. Soc. Ser. A 159 : 385 – 443 .
   Google Scholar
• Insightful Corporation . ( 2002 ). S-Plus, Version 6.1.2 . Seattle , WA .
   Google Scholar
• Langford , I. H. , Bentham , G. ( 1996 ). Regional variations in mortality rates in England and Wales: an analysis using multi-level modelling . Social Sci. Med. 42 : 897 – 908 . [CSA] [CROSSREF]
   PubMed Web of Science ®Google Scholar
• Leyland , A. H. , Boddy , F. A. ( 1998 ). League tables and acute myocardial infarction . The Lancet 351 : 555 – 558 . [CROSSREF]
   PubMed Web of Science ®Google Scholar
• Merlo , J. , Ostergren , P. O. , Broms , K. , Bjorck-Linne , A. , Liedholm , H. ( 2001 ). Survival after initial hospitalization for heart failure: a multilevel analysis of patients in Swedish acute care hospitals . J. Epidemiology Commun. Health 55 : 323 – 329 . [CSA] [CROSSREF]
   PubMed Web of Science ®Google Scholar
• Miller , M. E. , Hui , S. L. , Tierney , W. M. , McDonald , C. J. ( 1993 ). Estimating physician costliness: an empirical Bayes approach . Medical Care 31 : YS16 – YS28 . [PUBMED] [INFOTRIEVE]
   PubMed Web of Science ®Google Scholar
• Normand , S. L. , Glickman , M. E. , Gatsonis , C. A. ( 1997 ). Statistical methods for profiling providers of medical care: issues and applications . J. Amer. Statist. Assoc. 92 : 803 – 814 .
   Web of Science ®Google Scholar
• Raudenbush , S. W. , Bryk , A. S. ( 2002 ). Hierarchical Linear Models: Applications and Data Analysis Methods . 2nd ed. Thousand Oaks , CA : Sage Publications .
   Google Scholar
• Rodriguez , G. , Goldman , N. ( 1995 ). As assessment of estimation procedures for multilevel models with binary responses . J. Roy. Statist. Soc. Ser. A 158 : 73 – 89 .
   Google Scholar
• Scientific Software International . ( 1996 ). HLM, Version 5 . Chicago , IL .
   Google Scholar
• Seltzer , M. ( 1993 ). Sensitivity analysis for fixed effects in the hierarchical model: a Gibbs sampling approach . J. Educat. Statist. 18 : 207 – 235 .
   Google Scholar
• Spiegelhalter , D. J. , Thomas , A. , Best , N. G. , Gilks , W. ( 1995 ). BUGS: Bayesian Inference Using Gibbs Sampling, Version 0.603 . Cambridge : Medical Research Council Biostatistics Unit .
   Google Scholar