Dynamic Regime Marginal Structural Mean Models for Estimation of Optimal Dynamic Treatment Regimes, Part II: Proofs of Results
Open accessAbstract
In this companion article to "Dynamic Regime Marginal Structural Mean Models for Estimation of Optimal Dynamic Treatment Regimes, Part I: Main Content" [Orellana, Rotnitzky and Robins (2010), IJB, Vol. 6, Iss. 2, Art. 7] we present (i) proofs of the claims in that paper, (ii) a proposal for the computation of a confidence set for the optimal index when this lies in a finite set, and (iii) an example to aid the interpretation of the positivity assumption.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The statistical foundation for the weighting-and-replication method is in Orellana, Rotnitzky, and Robins.
“The statistical foundation for the weightingand-replication method is found in the work by Orellana, Rotnitzky, and Robins [33,34,68].”
From Introduction to SMART designs for the development of adaptive interventions: with application to weight loss research (2014) · cites this paper as [34]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Orellana, L., Rotnitzky, A., & Robins, J. M. (2010) · The International Journal of Biostatistics · doi:10.2202/1557-4679.1200 · Cited by 202 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
Using Big Data to Emulate a Target Trial When a Randomized Trial Is Not Available: Table 1.
Hernán, M. A., & Robins, J. M. (2016) · American Journal of Epidemiology · doi:10.1093/aje/kwv254 · Cited by 3,115 · see citing works
Self-citationA "SMART" Design for Building Individualized Treatment Sequences
Lei, H., Nahum-Shani, I., Lynch, K., Oslin, D., & Murphy, S. A. (2012) · Annual Review of Clinical Psychology · doi:10.1146/annurev-clinpsy-032511-143152 · Cited by 557 · see citing works
Almirall, D., Nahum-Shani, I., Sherwood, N. E., & Murphy, S. A. (2014) · Translational Behavioral Medicine · doi:10.1007/s13142-014-0265-0 · Cited by 453 · see citing works
Experimental design and primary data analysis methods for comparing adaptive interventions.
Nahum-Shani, I., Qian, M., Almirall, D., Pelham, W. E., Gnagy, B., Fabiano, G. A., Waxmonsky, J. G., Yu, J., & Murphy, S. A. (2012) · Psychological Methods · doi:10.1037/a0029372 · Cited by 298 · see citing works
Almirall, D., Compton, S. N., Gunlicks‐Stoessel, M., Duan, N., & Murphy, S. A. (2012) · Statistics in Medicine · doi:10.1002/sim.4512 · Cited by 223 · see citing works
Causal Inference About the Effects of Interventions From Observational Studies in Medical Journals
Dahabreh, I. J., & Bibbins-Domingo, K. (2024) · JAMA · doi:10.1001/jama.2024.7741 · Cited by 242 · see citing works
Orellana, L., Rotnitzky, A., & Robins, J. M. (2010) · The International Journal of Biostatistics · doi:10.2202/1557-4679.1200 · Cited by 202 · see citing works
Self-citationKilbourne, A. M., Almirall, D., Eisenberg, D., Waxmonsky, J., Goodrich, D. E., Fortney, J. C., Kirchner, J. E., Solberg, L. I., Main, D., Bauer, M. S., et al. (2014) · Implementation Science · doi:10.1186/s13012-014-0132-x · Cited by 130 · see citing works
- Authors
- Orellana, L., Rotnitzky, A., & Robins, J. M.
- Affiliations
- Universidad de Buenos Aires (AR)
- Harvard University (US)
- Venue
- The International Journal of Biostatistics
- Publisher
- Walter de Gruyter GmbH
- Published
- 2010-03-03
- Volume
- 6
- Issue
- 2
- Pages
- Article 9-Article 9
- ISSN
- 1557-4679 (ISSN-L)
- PMC
- PMC2854089
- OpenAlex
- W2043184429
- Cited by
- 53
- References
- 1
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 4 · 2023: 3 · 2022: 2 · 2021: 2 · 2020: 6 · 2019: 5 · 2018: 2 · 2017: 3 · 2016: 5 · 2015: 1 · 2014: 5 · 2013: 3 · 2012: 5
- FWCI
- 2.98
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- The International Journal of Biostatistics (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Own your potential (DEAKIN) (submittedVersion)
- Figshare (submittedVersion, cc-by)
- Funders
- National Institutes of Health (5r37ai032475-23)
- National Institute of General Medical Sciences (R01GM048704)
- National Institute of Allergy and Infectious Diseases (R37-AI032475)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Keywords
- dynamic treatment regimes, optimal treatment regimes, confidence regions, positivity assumption
- MeSH terms
- Algorithms, Clinical Trials as Topic, Longitudinal Studies, Probability, Research Design, Models, Statistical
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
