 @Article{
  burkner2017,
  title = {{brms}: An {R} Package for {Bayesian} Multilevel Models Using {Stan}},
  author = {Paul-Christian Bürkner},
  journal = {Journal of Statistical Software},
  year = {2017},
  volume = {80},
  number = {1},
  pages = {1--28},
  doi = {10.18637/jss.v080.i01},
  encoding = {UTF-8},
}

@article{
  mallinckrodt2008,
  title={Recommendations for the Primary Analysis of Continuous Endpoints in Longitudinal Clinical Trials},
  author={Mallinckrodt, C.H. and Lane, P.W. and Schnell, D. and others},
  journal={Therapeutic Innovation and Regulatory Science},
  volume={42},
  pages={303--319},
  year={2008},
  doi={10.1177/009286150804200402}
}

@book{
  mallinckrodt2017,
  title={Analyzing Longitudinal Clinical Trial Data: A Practical Guide},
  author={Mallinckrodt, C.H. and Lipkovich, Ilya},
  year={2017},
  publisher={CRC Press, Taylor and Francis Group}
}

@article{
  lenth2016,
  title={Least-Squares Means: The R Package lsmeans},
  volume={69},
  url={https://www.jstatsoft.org/index.php/jss/article/view/v069i01},
  doi={10.18637/jss.v069.i01},
  number={1},
  journal={Journal of Statistical Software},
  author={Lenth, Russell V.},
  year={2016},
  pages={1–33}
}

@manual{
  stan2023,
  title={Stan Modeling Language Users Guide and Reference Manual},
  author={{Stan Development Team}},
  year={2023},
  version={2.32.2},
  url={https://mc-stan.org}
}

@article{
 cook2006,
 ISSN = {10618600},
 URL = {http://www.jstor.org/stable/27594203},
 abstract = {This article presents a simulation-based method designed to establish the computational correctness of software developed to fit a specific Bayesian model, capitalizing on properties of Bayesian posterior distributions. We illustrate the validation technique with two examples. The validation method is shown to find errors in software when they exist and, moreover, the validation output can be informative about the nature and location of such errors. We also compare our method with that of an earlier approach.},
 author = {Samantha R. Cook and Andrew Gelman and Donald B. Rubin},
 journal = {Journal of Computational and Graphical Statistics},
 number = {3},
 pages = {675--692},
 publisher = {[American Statistical Association, Taylor & Francis, Ltd., Institute of Mathematical Statistics, Interface Foundation of America]},
 title = {Validation of Software for Bayesian Models Using Posterior Quantiles},
 volume = {15},
 year = {2006}
}

@article{
  talts2020,
  title={Validating Bayesian Inference Algorithms with Simulation-Based Calibration}, 
  author={Sean Talts and Michael Betancourt and Daniel Simpson and Aki Vehtari and Andrew Gelman},
  year={2020},
  eprint={1804.06788},
  archivePrefix={arXiv},
  primaryClass={stat.ME}
}

@misc{
  carpenter2017,
  author = {Bob Carpenter},
  title = {{Bayesian Posteriors are Calibrated by Definition}},
  year = {2017},
  url = {https://statmodeling.stat.columbia.edu/2017/04/12/bayesian-posteriors-calibrated/}
}

@Manual{
sbc,
    title = {SBC: Simulation Based Calibration for rstan/cmdstanr models},
    author = {Shinyoung Kim and Hyunji Moon and Martin Modrák and Teemu Säilynoja},
    year = {2022},
    note = {https://hyunjimoon.github.io/SBC/,
https://github.com/hyunjimoon/SBC/},
  }

@article{GabryVisualization2019,
  title={Visualization in Bayesian workflow},
  author={Gabry, Jonathon and Simpson, Daniel and Vehtari, Aki and Betancourt, Michael and Gelman, Andrew},
  journal={Journal of the Royal Statistical Society: Series A (Statistics in Society)},
  volume={182},
  pages={389-402},
  year={2019},
  doi={10.1111/rssa.12378},
  note={Journal version, arXiv preprint, Code on GitHub}
}

@book{GelmanData2007,
  title={Data Analysis Using Regression and Multilevel/Hierarchical Models},
  author={Gelman, Andrew and Hill, Jennifer},
  year={2007},
  publisher={Cambridge University Press},
  address={Cambridge, UK}
}

@article{VehtariPractical2017,
  title={Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC},
  author={Vehtari, Aki and Gelman, Andrew and Gabry, Jonathon},
  journal={Statistics and Computing},
  volume={27},
  number={5},
  pages={1413--1432},
  year={2017},
  doi={10.1007/s11222-016-9696-4},
  note={Online, arXiv preprint arXiv:1507.04544}
}

@article{VehtariPareto2019,
  title={Pareto smoothed importance sampling},
  author={Vehtari, Aki and Simpson, Daniel and Gelman, Andrew and Yao, Yuling and Gabry, Jonathon},
  journal={arXiv preprint arXiv:1507.02646},
  year={2019}
}

@Article{Kent2023,
  Author="Kent, D. M. ",
  Title="{{O}verall average treatment effects from clinical trials, one-variable-at-a-time subgroup analyses and predictive approaches to heterogeneous treatment effects: {T}oward a more patient-centered evidence-based medicine}",
  Journal="Clin Trials",
  Year="2023",
  Volume="20",
  Number="4",
  Pages="328--337",
  Month="Aug"
}

@Article{Lipkovich2017,
  Author="Lipkovich, I. and Dmitrienko, A. and B, R. ",
  Title="{{T}utorial in biostatistics: data-driven subgroup identification and analysis in clinical trials}",
  Journal="Stat Med",
  Year="2017",
  Volume="36",
  Number="1",
  Pages="136--196",
  Month="Jan"
}

@Article{Lipkovich2023,
  Author="Lipkovich, I. and Svensson, D. and Ratitch, B. and Dmitrienko, A. ",
  Title="{{O}verview of modern approaches for identifying and evaluating heterogeneous treatment effects from clinical data}",
  Journal="Clin Trials",
  Year="2023",
  Volume="20",
  Number="4",
  Pages="380--393",
  Month="Aug"
}

@misc{ICH1998,
  author = {ICH},
  title = {International Council for Harmonisation of Technical Requirements for Pharmaceuticals for Human Use (ICH) E9 Guideline. Statistical Principles for Clinical Trials},
  year = {1998},
  howpublished = {\url{https://database.ich.org/sites/default/files/E9_Guideline.pdf}},
  note = {Accessed: 2024-02-14}
}

@techreport{EMA2019,
  author = {EMA},
  title = {Guideline on the investigation of subgroups in confirmatory clinical trials},
  year = {2019},
  institution = {European Medicines Agency},
  number = {EMA/CHMP/539146/2013},
  howpublished = {\url{https://www.ema.europa.eu/en/investigation-subgroups-confirmatory-clinical-trials-scientific-guideline}},
  note = {Accessed: 2024-02-14}
}
