Bayesian Semiparametric Predictive Modeling with Applications in Dose-Response Prediction

REFERENCES

• Bornkamp , B. , Ickstadt , K. ( 2009 ). Bayesian nonparametric estimation of continuous monotone functions with applications to dose-response analysis. Biometrics 65 : 198 – 205 .
   PubMed Web of Science ®Google Scholar
• Bretz , F. , Pinheiro , J. , Branson , M. ( 2005 ). Combining multiple comparisons and modeling techniques in dose-response studies . Biometrics 61 : 738 – 748 .
   PubMed Web of Science ®Google Scholar
• Chien , J. Y. , Friedrich , S. , Heathman , M. A. , de Alwis , D. P. , Sinha , V. ( 2005 ). Pharmacokinetics/pharmacodynamics and the stages of drug development: Role of modeling and simulation . American Association of Pharmaceutical Statistics Journal 7 : 544 – 559 .
   Google Scholar
• Chuang-Stein , C. , Agresti , A. ( 1997 ). Tutorial in biostatistics: A review of tests for detecting monotone dose-response relationship with ordinal response data . Statistics in Medicine 16 : 2599 – 2618 .
   PubMed Web of Science ®Google Scholar
• DiPasquale , L. C. , Hayes , A. W. ( 2001 ). Acute toxicity and eye irritancy . In: Hayes , A. W. , ed. Principles and Methods of Toxicology, ed , 4th . London, UK : Taylor & Francis , pp. 853 – 916 .
   Google Scholar
• Fasshauer , G. E. ( 2007 ). Meshfree Approximation Methods with MATLAB R . Hackensack, NJ : World Scientific Publishing .
   Google Scholar
• Gelman , A. , Carlin , J. B. , Stern , H. S. , Rubin , D. B. ( 2004 ). Bayesian Data Analysis. ed. , 2nd New York, NY : Chapman and Hall .
   Google Scholar
• Geman , S. , Geman , D. ( 1984 ). Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images . IEEE Transactions on Pattern Analysis and Machine Intelligence 6 : 721 – 741 .
   PubMed Web of Science ®Google Scholar
• Haaland , B. , Qian , P. Z. G. ( 2010 ). An approach to constructing nested space-filling designs for multi-fidelity computer experiments . Statistica Sinica 20 : 1063 – 1075 .
   PubMed Web of Science ®Google Scholar
• Haaland , B. , Qian , P. Z. G. (2011). Accurate emulators for large-scale computer experiments. Annals of Statistics 39:2974–3002.
   Web of Science ®Google Scholar
• Haaland , B. , Min , W. , Qian , P. Z. G. , Amemiya , Y. ( 2010 ). A statistical approach to thermal management of data centers under steady state and system perturbations . Journal of the American Statistical Association 105 : 1030 – 1041 .
   PubMed Web of Science ®Google Scholar
• Harville , D. A. ( 1997 ). Matrix Algebra from a Statistician's Perspective . New York, NY : Springer-Verlag .
   Google Scholar
• Lewington , S. , Clarke , R. , Qizilbash , N. , Peto , R. , Collins , R. ( 2002 ). Prospective studies collaboration. Age-specic relevance of usual blood pressure to vascular mortality: A meta-analysis of individual data for one million adults in 61 prospective studies . Lancet 360 : 1903 – 1913 .
   PubMed Web of Science ®Google Scholar
• Li , J. , Zhang , C. , Nordheim , E. V. , Lehner , C. E. ( 2008 ). On the multivariate predictive distribution of multi-dimensional effective dose: A Bayesian approach . Journal of Statistical Computation and Simulation 78 : 429 – 442 .
   Web of Science ®Google Scholar
• Magnus , J. R. , Neudecker , H. ( 2001 ). Matrix Differential Calculus With Applications in Statistics and Econometrics . rev. ed. New York, NY : Wiley .
   Google Scholar
• Phillips , A. ( 1998 ). A review of the performance of tests used to establish whether there is a drug effect in dose-response studies . Drug Information Journal 32 : 683 – 692 .
   Web of Science ®Google Scholar
• Qian , P. Z. G. , Ai , M. , Wu , C. F. J. ( 2009 ). Construction of nested space-filling designs . Annals of Statistics 37 : 3616 – 3643 .
   Web of Science ®Google Scholar
• Ramsay , J. O. , Silverman , B. W. ( 1997 ). Functional Data Analysis . New York, NY : Springer .
   Google Scholar
• Ruberg , S. J. ( 1995 ). Dose response studies II: Analysis and interpretation . Journal of Biopharmaceutical Statistics 5 : 15 – 42 .
   PubMedGoogle Scholar
• Smith , M. K. , Marshall , S. ( 2010 ). A Bayesian design and analysis for dose-response using informative prior information . Journal of Biopharmaceutical Statistics 16 : 695 – 709 .
   Google Scholar
• Tipping , M. E. ( 2001 ). Sparse Bayesian learning and the relevance vector machine . Journal of Machine Learning Research 1 : 211 – 244 .
   Web of Science ®Google Scholar
• Wahba , G. ( 1990 ). Spline Models for Observational Data . Philadelphia, PA : Society for Industrial and Applied Mathematics .
   Google Scholar
• Wallace , J. P. , Park , S. , Zakutansky , D. W. , Lehmkuhl , L. A. A. , Jastremski , C. A. ( 2005 ). Time of day to monitor ambulatory blood pressure affects the outcome . Blood Pressure Monitoring 10 : 43 – 50 .
   PubMed Web of Science ®Google Scholar
• Wendland , H. ( 2005 ). Scattered Data Approximation . New York, NY : Cambridge University Press .
   Google Scholar
• Xu , X. , Haaland , B. , Qian , P. Z. G. ( 2011 ). Sudoku-based space-filling designs . Biometrika 98 : 711 – 720 .
   Web of Science ®Google Scholar
• Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/lbps.
   Google Scholar