Abstract
One of the main questions in the design of a trial is how many subjects should be assigned to each treatment condition. Previous research has shown that equal randomization is not necessarily the best choice. We study the optimal allocation for a novel trial design, the sequential multiple assignment randomized trial, where subjects receive a sequence of treatments across various stages. A subject's randomization probabilities to treatments in the next stage depend on whether he or she responded to treatment in the current stage. We consider a prototypical sequential multiple assignment randomized trial design with two stages. Within such a design, many pairwise comparisons of treatment sequences can be made, and a multiple-objective optimal design strategy is proposed to consider all such comparisons simultaneously. The optimal design is sought under either a fixed total sample size or a fixed budget. A Shiny App is made available to find the optimal allocations and to evaluate the efficiency of competing designs. As the optimal design depends on the response rates to first-stage treatments, maximin optimal design methodology is used to find robust optimal designs. The proposed methodology is illustrated using a sequential multiple assignment randomized trial example on weight loss management.
Original language | English |
---|---|
Pages (from-to) | 2471-2484 |
Number of pages | 14 |
Journal | Statistical Methods in Medical Research |
Volume | 30 |
Issue number | 11 |
Early online date | 23 Sept 2021 |
DOIs | |
Publication status | Published - Nov 2021 |
Keywords
- cost constraint
- efficiency
- maximin designs
- optimal allocation
- response rates
- sequential multiple assignment randomized trial trials
Access to Document
10.1177/09622802211037066Licence: CC BY
09622802211037066Final published version, 791 KBLicence: CC BY
Fingerprint
Dive into the research topics of 'Optimal allocation to treatments in a sequential multiple assignment randomized trial'. Together they form a unique fingerprint.
View full fingerprint
Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver
Morciano, A. (2021). Optimal allocation to treatments in a sequential multiple assignment randomized trial. Statistical Methods in Medical Research, 30(11), 2471-2484. https://doi.org/10.1177/09622802211037066
Morciano, Andrea ; Moerbeek, Mirjam. / Optimal allocation to treatments in a sequential multiple assignment randomized trial. In: Statistical Methods in Medical Research. 2021 ; Vol. 30, No. 11. pp. 2471-2484.
@article{caa4160b3e7240f3b16939f75ec09b53,
title = "Optimal allocation to treatments in a sequential multiple assignment randomized trial",
abstract = "One of the main questions in the design of a trial is how many subjects should be assigned to each treatment condition. Previous research has shown that equal randomization is not necessarily the best choice. We study the optimal allocation for a novel trial design, the sequential multiple assignment randomized trial, where subjects receive a sequence of treatments across various stages. A subject's randomization probabilities to treatments in the next stage depend on whether he or she responded to treatment in the current stage. We consider a prototypical sequential multiple assignment randomized trial design with two stages. Within such a design, many pairwise comparisons of treatment sequences can be made, and a multiple-objective optimal design strategy is proposed to consider all such comparisons simultaneously. The optimal design is sought under either a fixed total sample size or a fixed budget. A Shiny App is made available to find the optimal allocations and to evaluate the efficiency of competing designs. As the optimal design depends on the response rates to first-stage treatments, maximin optimal design methodology is used to find robust optimal designs. The proposed methodology is illustrated using a sequential multiple assignment randomized trial example on weight loss management.",
keywords = "cost constraint, efficiency, maximin designs, optimal allocation, response rates, sequential multiple assignment randomized trial trials",
author = "Andrea Morciano and Mirjam Moerbeek",
note = "Funding Information: The authors received no financial support for the research, authorship and/or publication of this article. Publisher Copyright: {\textcopyright} The Author(s) 2021.",
year = "2021",
month = nov,
doi = "10.1177/09622802211037066",
language = "English",
volume = "30",
pages = "2471--2484",
journal = "Statistical Methods in Medical Research",
issn = "0962-2802",
publisher = "SAGE Publications Ltd",
number = "11",
}
Morciano, A 2021, 'Optimal allocation to treatments in a sequential multiple assignment randomized trial', Statistical Methods in Medical Research, vol. 30, no. 11, pp. 2471-2484. https://doi.org/10.1177/09622802211037066
Optimal allocation to treatments in a sequential multiple assignment randomized trial. / Morciano, Andrea; Moerbeek, Mirjam.
In: Statistical Methods in Medical Research, Vol. 30, No. 11, 11.2021, p. 2471-2484.
Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Optimal allocation to treatments in a sequential multiple assignment randomized trial
AU - Morciano, Andrea
AU - Moerbeek, Mirjam
N1 - Funding Information:The authors received no financial support for the research, authorship and/or publication of this article.Publisher Copyright:© The Author(s) 2021.
PY - 2021/11
Y1 - 2021/11
N2 - One of the main questions in the design of a trial is how many subjects should be assigned to each treatment condition. Previous research has shown that equal randomization is not necessarily the best choice. We study the optimal allocation for a novel trial design, the sequential multiple assignment randomized trial, where subjects receive a sequence of treatments across various stages. A subject's randomization probabilities to treatments in the next stage depend on whether he or she responded to treatment in the current stage. We consider a prototypical sequential multiple assignment randomized trial design with two stages. Within such a design, many pairwise comparisons of treatment sequences can be made, and a multiple-objective optimal design strategy is proposed to consider all such comparisons simultaneously. The optimal design is sought under either a fixed total sample size or a fixed budget. A Shiny App is made available to find the optimal allocations and to evaluate the efficiency of competing designs. As the optimal design depends on the response rates to first-stage treatments, maximin optimal design methodology is used to find robust optimal designs. The proposed methodology is illustrated using a sequential multiple assignment randomized trial example on weight loss management.
AB - One of the main questions in the design of a trial is how many subjects should be assigned to each treatment condition. Previous research has shown that equal randomization is not necessarily the best choice. We study the optimal allocation for a novel trial design, the sequential multiple assignment randomized trial, where subjects receive a sequence of treatments across various stages. A subject's randomization probabilities to treatments in the next stage depend on whether he or she responded to treatment in the current stage. We consider a prototypical sequential multiple assignment randomized trial design with two stages. Within such a design, many pairwise comparisons of treatment sequences can be made, and a multiple-objective optimal design strategy is proposed to consider all such comparisons simultaneously. The optimal design is sought under either a fixed total sample size or a fixed budget. A Shiny App is made available to find the optimal allocations and to evaluate the efficiency of competing designs. As the optimal design depends on the response rates to first-stage treatments, maximin optimal design methodology is used to find robust optimal designs. The proposed methodology is illustrated using a sequential multiple assignment randomized trial example on weight loss management.
KW - cost constraint
KW - efficiency
KW - maximin designs
KW - optimal allocation
KW - response rates
KW - sequential multiple assignment randomized trial trials
UR - http://www.scopus.com/inward/record.url?scp=85115610090&partnerID=8YFLogxK
U2 - 10.1177/09622802211037066
DO - 10.1177/09622802211037066
M3 - Article
C2 - 34554015
SN - 0962-2802
VL - 30
SP - 2471
EP - 2484
JO - Statistical Methods in Medical Research
JF - Statistical Methods in Medical Research
IS - 11
ER -
Morciano A, Moerbeek M. Optimal allocation to treatments in a sequential multiple assignment randomized trial. Statistical Methods in Medical Research. 2021 Nov;30(11):2471-2484. Epub 2021 Sept 23. doi: 10.1177/09622802211037066