6–9 Jul 2026
Europe/Warsaw timezone

TheseusPlot: Visualizing Decomposition of Differences in Rate Metrics

8 Jul 2026, 16:00
2h
Poster Poster

Speakers

Daisuke Ichikawa (Kibaroku) Koji Makiyama (HOXO-M Inc.) Shinichi Takayanagi kazuyuki sano

Description

TheseusPlot is an R package for explaining why a rate metric (e.g., conversion rate, retention rate, or on-time rate) differs between two groups, such as time periods, cohorts, or A/B variants. The package decomposes an overall difference into contributions from individual subgroups using a procedure inspired by the Ship of Theseus: starting from Group A, it replaces subgroup data with the corresponding data from Group B step by step and recalculates the overall rate after each replacement. The resulting stepwise changes quantify each subgroup’s contribution to the total difference.

TheseusPlot visualizes this decomposition as a Theseus Plot, which combines the stepwise progression of a waterfall plot with comparative bars showing subgroup sizes in both groups. This makes it easier to distinguish “large impact due to a large shift” from “large impact due to large volume” and to communicate findings to stakeholders. Users create a reusable “ship” object from two data frames that share common columns and then generate Theseus plots for any categorical variable; for high-cardinality variables, small contributors can be aggregated and the plot can be flipped for readability.

TheseusPlot supports reproducible root-cause analysis for KPI changes in product analytics, experiments, and operational metrics, and is available on CRAN.

Additional Material or Paper

https://hoxo-m.github.io/blog/posts/TheseusPlot/

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ChatGPT (OpenAI) — used for English-language editing and wording suggestions for the abstract and submission text. All technical content and final decisions were made by the author.

Keywords: Please list up to 5 keywords to help us find the right session for your contribution. data visualization, rate metrics, decomposition, KPI monitoring, waterfall plot
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Author

Koji Makiyama (HOXO-M Inc.)

Co-authors

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