
Bayesian Hierarchical Poisson Models for Multiple Grouped Outcomes and Clustering with Applications to Observational Health Data
References
- Health Data Research (UK).
https://www.hdruk.ac.uk . - Carragher R, Mueller T, Bennie M, Robertson C. A Bayesian hierarchical approach for multiple outcomes in routinely collected healthcare data. Statistics in Medicine. 2020;39:2639–2654. DOI: 10.1002/sim.8563
- Health Data Research (UK) Scotland.
https://www.hdruk.ac.uk/research/regional-networks/health-data-research-uk-hdr-uk-scotland/ . - Hernán MA, Robins JM. Causal Inference: What If (1st ed.). CRC Press; 2023. DOI: 10.1201/9781315374932.
- Shaddox TR, Ryan PB, Schuemie MJ, Madigan D, Suchard MA. Hierarchical models for multiple, rare outcomes using massive observational healthcare databases. Stat Anal Data Mining ASA Data Sci J. 2016;9(4):260–268. DOI: 10.1002/sam.11324.
- Crooks CJ, Prieto-Merino D, Evans SJW. Identifying adverse events of vaccines using a Bayesian method of medically guided information sharing. Drug Saf. 2012;35(1):61–78. DOI: 10.2165/11596630-000000000-00000.
- Scottish National Safe Haven.
https://www.isdscotland.org/products-and-services/edris/use-of-the-national-safe-haven . - Mueller T, Alvarez-Madrazo S, Robertson C, Wu, O, Marion B. Comparative safety and effectiveness of direct oral anticoagulants in patients with atrial fibrillation in clinical practice in Scotland. Br J Clin Pharmacol. 2019;85(2):422–431. DOI: 10.1111/bcp.13814.
- Plummer M, Best N, Cowles K, Vines K. CODA: Convergence Diagnosis and Output Analysis for Mcmc. R News. 2006;6(1):7–11.
http://CRAN.R-project.org/doc/Rnews/ . - Robert CP, Casella G. Monte Carlo Statistical Methods. New York, NY: Springer; 1999. DOI: 10.1007/978-1-4757-3071-5
- Seward J, Nethercote N. Using Valgrind to Detect Undefined Value Errors with Bit-Precision. In Proceedings of the Annual Conference on Usenix Annual Technical Conference, 2. ATEC ’05. USA:
USENIX Association ; 2005. - Serebryany K, Bruening D, Potapenko A, Vyukov D. AddressSanitizer: A Fast Address Sanity Checker. In Proceedings of the 2012 Usenix Conference on Annual Technical Conference, 28. USENIX Atc’12. USA:
USENIX Association ; 2012. - Carragher RB, Mueller T, Bennie M, Robertson C. Bayesian hierarchical approaches for multiple outcomes in routinely collected healthcare data. Poster session presented at EuroDURG 2020, Szeged, Hungary; 2020.
- World Health Organization. ICD-10: international statistical classification of diseases and related health problems/World Health Organization. World Health Organization, Geneva; 2004.
https://icd.who.int/browse10/2014/en . - Brooks S, Gelman A, Jones G, Meng X-L (Eds.). Handbook of Markov Chain Monte Carlo (1st ed.). Chapman and Hall/CRC; 2011. DOI: 10.1201/b10905
- Franklin JM, Platt R, Dreyer NA, London AJ, Simon GE, Watanabe JH, Horberg M, Hernandez A, Califf RM. When Can Nonrandomized Studies Support Valid Inference Regarding Effectiveness or Safety of New Medical Treatments? Clin Pharmacol Ther. 2022 Jan;111(1):108–115. DOI: 10.1002/cpt.2255
- Berry SM, Berry DA. Accounting for multiplicities in assessing drug safety: A three-level hierarchical mixture model [Journal Article]. Biometrics. 2004;60(2):418–426. DOI: 10.1111/j.0006-341X.2004.00186.x
- Amy Xia H, Ma H, Carlin BP. Bayesian hierarchical modeling for detecting safety signals in clinical trials [Journal Article]. Journal of Biopharmaceutical Statistics. 2011;21(5):1006–1029. DOI: 10.1080/10543406.2010.520181
- Carragher, et al. c212: An R Package for the Detection of Safety Signals in Clinical Trials Using Body-Systems (System Organ Classes). Journal of Open Source Software. 2020;5(56):2706. DOI: 10.21105/joss.02706
- Mueller T, Alvarez-Madrazo S, Robertson C,Wu O, Marion B. Comparative safety and effectiveness of direct oral anticoagulants in patients with atrial fibrillation in clinical practice in Scotland. J Clin Pharmacol. 2019;85(2):422–431. DOI: 10.1111/bcp.13814
- Stan Development Team. RStan: the R interface to Stan. R package version 2.32.7; 2025.
https://mc-stan.org/ . - Gelman A, Carlin JB, Stern HS, Dunson DB, Vehtari A, Rubin DB. Bayesian Data Analysis (3rd ed.). Chapman and Hall/CRC; 2013. DOI: 10.1201/b16018
- Vehtari A, Gelman A, Simpson D, Carpenter B, Bürkner P-C. Rank-Normalization, Folding, and Localization: An Improved Ȓ for Assessing Convergence of MCMC (with Discussion). Bayesian Anal. June 2021;16(2):667–718. DOI: 10.1214/20-BA1221
- Gabry J, Mahr T. “bayesplot: Plotting for Bayesian Models.” R package version 1.14.0. 2025.
https://mc-stan.org/bayesplot/ .
DOI: https://doi.org/10.5334/jors.356 | Journal eISSN: 2049-9647
Language: English
Submitted on: Oct 28, 2020
Accepted on: Nov 14, 2025
Published on: Nov 24, 2025
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
© 2025 Raymond Carragher, Tanja Mueller, Marion Bennie, Chris Robertson, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.