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PreprintarXiv licencearXiv

Visualizing Joint Ranking Distributions in Network Meta-Analysis with Hammock Plots

Abstract

Treatment ranking provides a summary of the relative effectiveness of competing treatments and is a key output of network meta-analysis (NMA). Existing visualizations primarily summarize marginal ranking distributions or present individual treatment hierarchies with limited insight into uncertainty in the overall hierarchy. We introduce hammock plots as a visualization framework for the joint posterior distribution of treatment rankings. Although motivated by treatment ranking in NMA, the proposed framework is broadly applicable to any setting in which uncertainty in posterior rankings is of interest. Specifically, we develop separate hammock plots to display relationships between (a) adjacent treatments or (b) adjacent ranks. Using highlighting, we show how to assess posterior support for selected treatment hierarchies, to evaluate hierarchies identified by ranking metrics against the posterior distribution, and to examine uncertainty within selected regions of the treatment hierarchy. We apply the proposed visualizations to a thrombolytic treatment network, which revealed patterns in the posterior ranking distribution and the location of uncertainty in treatment hierarchies that were difficult to identify using existing ranking graphics. We also provide a web application to generate all of the proposed hammock plot variations for any data set.

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BibTeX
@misc{zhen2026visualizing,
  title = {{Visualizing Joint Ranking Distributions in Network Meta-Analysis with Hammock Plots}},
  author = {Carmen Alicia Liang Zhen and Audrey Béliveau and Matthias Schonlau},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27191},
  eprint = {2610.27191},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27191},
}
RIS
TY  - UNPB
TI  - Visualizing Joint Ranking Distributions in Network Meta-Analysis with Hammock Plots
AU  - Carmen Alicia Liang Zhen
AU  - Audrey Béliveau
AU  - Matthias Schonlau
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.27191
UR  - https://arxiv.org/abs/2610.27191
AB  - Treatment ranking provides a summary of the relative effectiveness of competing treatments and is a key output of network meta-analysis (NMA). Existing visualizations primarily summarize marginal ranking distributions or present individual treatment hierarchies with limited insight into uncertainty in the overall hierarchy. We introduce hammock plots as a visualization framework for the joint posterior distribution of treatment rankings. Although motivated by treatment ranking in NMA, the proposed framework is broadly applicable to any setting in which uncertainty in posterior rankings is of interest. Specifically, we develop separate hammock plots to display relationships between (a) adjacent treatments or (b) adjacent ranks. Using highlighting, we show how to assess posterior support for selected treatment hierarchies, to evaluate hierarchies identified by ranking metrics against the posterior distribution, and to examine uncertainty within selected regions of the treatment hierarchy. We apply the proposed visualizations to a thrombolytic treatment network, which revealed patterns in the posterior ranking distribution and the location of uncertainty in treatment hierarchies that were difficult to identify using existing ranking graphics. We also provide a web application to generate all of the proposed hammock plot variations for any data set.
ER  -