Min-Max Optimal Design of Two-Armed Trials with Side Information

In this work, we study the optimal design of two-armed clinical trials to maximize the accuracy of parameter estimation in a statistical model, where the interaction between patient covariates and ...

[1]  Hinkelmann Klaus History and Overview of Design and Analysis of Experiments , 2015 .

[2]  Anthony C. Atkinson,et al.  Optimum designs for two treatments with unequal variances in the presence of covariates , 2015 .

[3]  Amber Jessup,et al.  Key cost drivers of pharmaceutical clinical trials in the United States , 2016, Clinical trials.

[4]  Mohit Singh,et al.  Approximation Algorithms for D-optimal Design , 2018, Math. Oper. Res..

[5]  Chengchun Shi,et al.  Maximin Projection Learning for Optimal Treatment Decision with Heterogeneous Individualized Treatment Effects. , 2018, Journal of the Royal Statistical Society. Series B, Statistical methodology.

[6]  D. Wysowski,et al.  Bleeding complications with warfarin use: a prevalent adverse effect resulting in regulatory action. , 2007, Archives of internal medicine.

[7]  S. Murphy,et al.  PERFORMANCE GUARANTEES FOR INDIVIDUALIZED TREATMENT RULES. , 2011, Annals of statistics.

[8]  D. Berry Bayesian clinical trials , 2006, Nature Reviews Drug Discovery.

[9]  René Bernards,et al.  Taming the dragon: genomic biomarkers to individualize the treatment of cancer , 2011, Nature Medicine.

[10]  Nathan Kallus Optimal a priori balance in the design of controlled experiments , 2013, 1312.0531.

[11]  J. Lee,et al.  Dose Escalation Methods in Phase I Cancer Clinical Trials , 2009, Journal of the National Cancer Institute.

[12]  Jonathan Cole Smith,et al.  A class of algorithms for mixed-integer bilevel min–max optimization , 2015, Journal of Global Optimization.

[13]  N. Schork Personalized medicine: Time for one-person trials , 2015, Nature.

[14]  William H Press,et al.  Bandit solutions provide unified ethical models for randomized clinical trials and comparative effectiveness research , 2009, Proceedings of the National Academy of Sciences.

[15]  Rui Song,et al.  Using pilot data to size a two‐arm randomized trial to find a nearly optimal personalized treatment strategy , 2016, Statistics in medicine.

[16]  Dimitris Bertsimas,et al.  The Power of Optimization Over Randomization in Designing Experiments Involving Small Samples , 2015, Oper. Res..

[17]  Vivek F. Farias,et al.  Near-Optimal A-B Testing , 2020, Manag. Sci..

[18]  P. White,et al.  Patient Factors That Influence Warfarin Dose Response , 2010, Journal of pharmacy practice.

[19]  Archis Ghate,et al.  Bayesian learning of dose-response parameters from a cohort under response-guided dosing , 2018, Eur. J. Oper. Res..

[20]  R. Altman,et al.  Estimation of the warfarin dose with clinical and pharmacogenetic data. , 2009, The New England journal of medicine.