1
|
Robertson DS, Lee KM, López-Kolkovska BC, Villar SS. Response-adaptive randomization in clinical trials: from myths to practical considerations. Stat Sci 2023; 38:185-208. [PMID: 37324576 PMCID: PMC7614644 DOI: 10.1214/22-sts865] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/17/2023]
Abstract
Response-Adaptive Randomization (RAR) is part of a wider class of data-dependent sampling algorithms, for which clinical trials are typically used as a motivating application. In that context, patient allocation to treatments is determined by randomization probabilities that change based on the accrued response data in order to achieve experimental goals. RAR has received abundant theoretical attention from the biostatistical literature since the 1930's and has been the subject of numerous debates. In the last decade, it has received renewed consideration from the applied and methodological communities, driven by well-known practical examples and its widespread use in machine learning. Papers on the subject present different views on its usefulness, and these are not easy to reconcile. This work aims to address this gap by providing a unified, broad and fresh review of methodological and practical issues to consider when debating the use of RAR in clinical trials.
Collapse
Affiliation(s)
- David S. Robertson
- MRC Biostatistics Unit, University of Cambridge, Forvie Site, Robinson Way, Cambridge CB2 0SR, United Kingdom
| | | | | | | |
Collapse
|
2
|
The Bayesian Design of Adaptive Clinical Trials. INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH 2021; 18:ijerph18020530. [PMID: 33435249 PMCID: PMC7826635 DOI: 10.3390/ijerph18020530] [Citation(s) in RCA: 22] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Subscribe] [Scholar Register] [Received: 11/25/2020] [Revised: 12/31/2020] [Accepted: 01/06/2021] [Indexed: 01/13/2023]
Abstract
This paper presents a brief overview of the recent literature on adaptive design of clinical trials from a Bayesian perspective for statistically not so sophisticated readers. Adaptive designs are attracting a keen interest in several disciplines, from a theoretical viewpoint and also—potentially—from a practical one, and Bayesian adaptive designs, in particular, have raised high expectations in clinical trials. The main conceptual tools are highlighted here, with a mention of several trial designs proposed in the literature that use these methods, including some of the registered Bayesian adaptive trials to this date. This review aims at complementing the existing ones on this topic, pointing at further interesting reading material.
Collapse
|
3
|
Senarathne SGJ, Overstall AM, McGree JM. Bayesian adaptive N‐of‐1 trials for estimating population and individual treatment effects. Stat Med 2020; 39:4499-4518. [DOI: 10.1002/sim.8737] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/2019] [Revised: 07/18/2020] [Accepted: 07/28/2020] [Indexed: 12/20/2022]
Affiliation(s)
| | - Antony M. Overstall
- Southampton Statistical Sciences Research Institute University of Southampton Southampton UK
| | - James M. McGree
- School of Mathematical Sciences Queensland University of Technology Brisbane Queensland Australia
| |
Collapse
|
4
|
Pearse AR, McGree JM, Som NA, Leigh C, Maxwell P, Ver Hoef JM, Peterson EE. SSNdesign-An R package for pseudo-Bayesian optimal and adaptive sampling designs on stream networks. PLoS One 2020; 15:e0238422. [PMID: 32960894 PMCID: PMC7508409 DOI: 10.1371/journal.pone.0238422] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/24/2019] [Accepted: 08/17/2020] [Indexed: 11/18/2022] Open
Abstract
Streams and rivers are biodiverse and provide valuable ecosystem services. Maintaining these ecosystems is an important task, so organisations often monitor the status and trends in stream condition and biodiversity using field sampling and, more recently, autonomous in-situ sensors. However, data collection is often costly, so effective and efficient survey designs are crucial to maximise information while minimising costs. Geostatistics and optimal and adaptive design theory can be used to optimise the placement of sampling sites in freshwater studies and aquatic monitoring programs. Geostatistical modelling and experimental design on stream networks pose statistical challenges due to the branching structure of the network, flow connectivity and directionality, and differences in flow volume. Geostatistical models for stream network data and their unique features already exist. Some basic theory for experimental design in stream environments has also previously been described. However, open source software that makes these design methods available for aquatic scientists does not yet exist. To address this need, we present SSNdesign, an R package for solving optimal and adaptive design problems on stream networks that integrates with existing open-source software. We demonstrate the mathematical foundations of our approach, and illustrate the functionality of SSNdesign using two case studies involving real data from Queensland, Australia. In both case studies we demonstrate that the optimal or adaptive designs outperform random and spatially balanced survey designs implemented in existing open-source software packages. The SSNdesign package has the potential to boost the efficiency of freshwater monitoring efforts and provide much-needed information for freshwater conservation and management.
Collapse
Affiliation(s)
- Alan R. Pearse
- Institute for Future Environments, Queensland University of Technology, Brisbane, QLD, Australia
- Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers, Queensland University of Technology, Brisbane, QLD, Australia
| | - James M. McGree
- Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers, Queensland University of Technology, Brisbane, QLD, Australia
- School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia
| | - Nicholas A. Som
- US Fish and Wildlife Service, Arcata, CA, United States of America
- Humboldt State University, Arcata, CA, United States of America
| | - Catherine Leigh
- Institute for Future Environments, Queensland University of Technology, Brisbane, QLD, Australia
- Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers, Queensland University of Technology, Brisbane, QLD, Australia
- School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia
| | - Paul Maxwell
- Healthy Land and Water, Brisbane, QLD, Australia
| | - Jay M. Ver Hoef
- Alaska Fisheries Science Center, NOAA Fisheries, Seattle, WA, Australia
| | - Erin E. Peterson
- Institute for Future Environments, Queensland University of Technology, Brisbane, QLD, Australia
- Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers, Queensland University of Technology, Brisbane, QLD, Australia
- School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia
| |
Collapse
|
5
|
Bayesian sequential design for Copula models. TEST-SPAIN 2020. [DOI: 10.1007/s11749-019-00661-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
|
6
|
McGree J. Developments of the total entropy utility function for the dual purpose of model discrimination and parameter estimation in Bayesian design. Comput Stat Data Anal 2017. [DOI: 10.1016/j.csda.2016.05.020] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
7
|
Ryan EG, Drovandi CC, McGree JM, Pettitt AN. A Review of Modern Computational Algorithms for Bayesian Optimal Design. Int Stat Rev 2015. [DOI: 10.1111/insr.12107] [Citation(s) in RCA: 105] [Impact Index Per Article: 11.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Affiliation(s)
- Elizabeth G. Ryan
- School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia
- Biostatistics Department, Institute of Psychiatry, Psychology and Neuroscience; King's College London; London UK
| | - Christopher C. Drovandi
- School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia
- ARC Centre of Excellence for Mathematical and Statistical Frontiers; Queensland University of Technology; Brisbane Australia
| | - James M. McGree
- School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia
- ARC Centre of Excellence for Mathematical and Statistical Frontiers; Queensland University of Technology; Brisbane Australia
| | - Anthony N. Pettitt
- School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia
- ARC Centre of Excellence for Mathematical and Statistical Frontiers; Queensland University of Technology; Brisbane Australia
| |
Collapse
|
9
|
Nguyen TT, Mentré F. Evaluation of the Fisher information matrix in nonlinear mixed effect models using adaptive Gaussian quadrature. Comput Stat Data Anal 2014. [DOI: 10.1016/j.csda.2014.06.011] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
|
10
|
Drovandi CC, McGree, JM, Pettitt AN. A Sequential Monte Carlo Algorithm to Incorporate Model Uncertainty in Bayesian Sequential Design. J Comput Graph Stat 2014. [DOI: 10.1080/10618600.2012.730083] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
|
11
|
Sverdlov O, Wong WK, Ryeznik Y. Adaptive clinical trial designs for phase I cancer studies. STATISTICS SURVEYS 2014. [DOI: 10.1214/14-ss106] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
|
12
|
Drovandi CC, McGree JM, Pettitt AN. Sequential Monte Carlo for Bayesian sequentially designed experiments for discrete data. Comput Stat Data Anal 2013. [DOI: 10.1016/j.csda.2012.05.014] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
13
|
McGree JM, Drovandi CC, Pettitt AN. A sequential Monte Carlo approach to derive sampling times and windows for population pharmacokinetic studies. J Pharmacokinet Pharmacodyn 2012; 39:519-26. [DOI: 10.1007/s10928-012-9265-1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2011] [Accepted: 07/09/2012] [Indexed: 10/28/2022]
|