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Flexible shrinkage estimation of subgroup effects through Dirichlet process priors

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References

  • Albert, J. H., Chib, S. (1993). Bayesian analysis of binary and polychotomous response data. Journal of the American Statistical Association 88:669–679.
  • Aldous, D. J. (1985). Exchangeability and Related topics. Berlin, Germany: Springer.
  • Antoniak, C. (1974). Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems. The Annals of Statistics 2:1152–1174.
  • Bernardo, J. M. (1996). The concept of exchangeability and its applications. Far East Journal of Mathematical Sciences 4:111–122.
  • Blackwell, D., MacQueen, J. B. (1973). Ferguson distributions via Pólya urn schemes. The Annals of Statistics 1:353–355.
  • Bush, C. A., MacEachern, S. N. (1996). A semiparametric Bayesian model for randomised block designs. Biometrika 83:275–285.
  • Efron, B., Morris, C. (1973). Stein’s estimation rule and its competitors - an empirical Bayes approach. Journal of the American Statistical Association 68:117–130.
  • European Medicines Agency. (2014). Guideline on the Investigation of Subgroups in Confirmatory Clinical Trials. URL http://www.ema.europa.eu/docs/enSUBSCRIPTNBGB/documentSUBSCRIPTNBlibrary/ScientificSUBSCRIPTNBguideline/2014/02/WC500160523.pdf.
  • FDA. (2013). Guidance for Industry: Antibacterial Therapies for Patients With Unmet Medical Need for the Treatment of Serious Bacterial Diseases. URL http://www.fda.gov/downloads/drugs/guidancecomplianceregulatoryinformation/guidances/ucm359184.pdf.
  • FDA. (2015). Guidance for Industry: Complicated Intra-Abdominal Infections: Developing Drugs for Treatment. URL http://www.fda.gov/downloads/drugs/guidancecomplianceregulatoryinformation/guidances/ucm321390.pdf.
  • Ferguson, T. (1973). A Bayesian analysis of some nonparametric problems. The Annals of Statistics 1(2):209–230.
  • Gelfand, A. E., Dey, D. K., Chang, H. (1992). Model determination using predictive distributions with implementation via sampling-based methods. Technical report, DTIC Document.
  • Gelman, A., et al. (2006). Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper). Bayesian Analysis 1:515–534.
  • Gelman, A., Hill, J., Yajima, M. (2012). Why we (usually) don’t have to worry about multiple comparisons. Journal of Research on Educational Effectiveness 5:189–211.
  • Gelman, A., Rubin, D. B. (1992). Inference from iterative simulation using multiple sequences. Statistical Science 7:457–472.
  • Geweke, J., et al. (1991). Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments, volume 196. MN, USA: Federal Reserve Bank of Minneapolis, Research Department Minneapolis.
  • Ishwaran, H., Zarepour, M. (2002). Exact and approximate sum representations for the Dirichlet process. Canadian Journal of Statistics 30:269–283.
  • James, W., Stein, C. (1961). Estimation with quadratic loss. In ---Proceedings of the fourth Berkeley Symposium on Mathematical Statistics and Probability, volume 1, pages 361–379.
  • Jones, H. E., Ohlssen, D. I., Neuenschwander, B., Racine, A., Branson, M. (2011). Bayesian models for subgroup analysis in clinical trials. Clinical Trials, 8:129–143.
  • Korn, E. L., Arbuck, S. G., Pluda, J. M., Simon, R., Kaplan, R. S., Christian, M. C. (2001). Clinical trial designs for cytostatic agents: are new approaches needed? Journal of Clinical Oncology 19:265–272.
  • Lagakos, S. W. (2006). The challenge of subgroup analyses-reporting without distorting. New England Journal of Medicine 354:1667–1669.
  • Lipsky, A. M., Gausche-Hill, M., Vienna, M., Lewis, R. J. (2010). The importance of shrinkage in subgroup analyses. Annals of Emergency Medicine 55:544–552.
  • Lunn, D., Jackson, C., Best, N., Thomas, A., Spiegelhalter, D. (2012). The BUGS Book: A Practical Introduction to Bayesian Analysis. Boca Raton, FL: CRC press.
  • Mandrekar, S. J., Sargent, D. J. (2009). Clinical trial designs for predictive biomarker validation: theoretical considerations and practical challenges. Journal of Clinical Oncology 27:4027–4034.
  • Ohlssen, D. I., Sharples, L. D., Spiegelhalter, D. J. (2007). Flexible random-effects models using Bayesian semi-parametric models: applications to institutional comparisons. Statistics in Medicine 26:2088–2112.
  • Park, J.-H., Dunson, D. B. (2010). Bayesian generalized product partition model. Statistica Sinica 20:1203–1226.
  • Plummer, M., Best, N., Cowles, K., Vines, K. (2006). Coda: Convergence diagnosis and output analysis for MCMC. RNews 6:7–11.
  • Plummer, M., Stukalov, A., Denwood, M., Plummer, M. M. (2015). Package rjags. Update 16:1.
  • Pocock, S. J., Assmann, S. E., Enos, L. E., Kasten, L. E. (2002). Subgroup analysis, covariate adjustment and baseline comparisons in clinical trial reporting: current practice and problems. Statistics in Medicine 21:2917–2930.
  • Raffery, A., Lewis, S. (1992). One long run with diagnostics: Implementation strategies for Markov chain Monte Carlo. Statistical Science 7:493–497.
  • Rothwell, P. M. (2005). Subgroup analysis in randomised controlled trials: importance, indications, and interpretation. The Lancet 365:176–186.
  • Sethuraman, J. (1994). A constructive definition of Dirichlet priors. Statistica Sinica 4:639–650.
  • Sethuraman, J., Tiwari, R. (1982). Convergence of Dirichlet measures and the interpretation of their parameter. Statistical Decision Theory and Related Topics III 2:305–315.
  • Singh, K. P., Li, G., Mitrani-Gold, F. S., Kurtinecz, M., Wetherington, J., Tomayko, J. F., Mundy, L. M. (2013). Systematic review and meta-analysis of antimicrobial treatment effect estimation in complicated urinary tract infection. Antimicrobial Agents and Chemotherapy 57:5284–5290.
  • Spiegelhalter, D. J., Best, N. G., Carlin, B. P., Van Der Linde, A. (2002). Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 64:583–639.

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