Hoop Diagrams:  A Set Visualization Method

Peter Rodgers; Peter Chapman; Andrew Blake; Martin Nollenburg; Markus Wallinger; Alexander Dobler

doi:10.1007/978-3-031-71291-3_31

Hoop Diagrams: A Set Visualization Method

Peter Rodgers, Peter Chapman, Andrew Blake, Martin Nollenburg, Markus Wallinger, Alexander Dobler

School of Arch, Tech and Eng

Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review

Abstract

We introduce Hoop Diagrams, a new visualization technique for set data. Hoop Diagrams are a circular visualization with hoops representing sets and sectors representing set intersections. We present an interactive tool for drawing Hoop
Diagrams and describe a user study comparing them with Linear Diagrams. The results show only small differences, with users answering questions more quickly with Linear Diagrams, but answering some questions more accurately with Hoop Diagrams. Interaction data indicates that those using set order and intersection highlighting were more successful at answering questions, but those who used other interactions had a slower response. The similarity in usability suggests that the diagram type should be chosen based on the presentation method. Linear Diagrams increase in the horizontal direction with the number of intersections, leading to difficulties fitting on a screen. HoopDiagrams al-ways have a square aspect ratio.

Original language	English
Title of host publication	Diagrammatic Representation and Inference
Subtitle of host publication	14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings
Editors	Jens Lemanski, Mikkel Willum Johansen, Emmanuel Manalo, Petrucio Viana, Reetu Bhattacharjee, Richard Burns
Place of Publication	Cham
Publisher	Springer
Pages	377-392
Number of pages	15
ISBN (Electronic)	9783031712913
DOIs	https://doi.org/10.1007/978-3-031-71291-3_31
Publication status	Published - 9 Sept 2024
Event	14th International Conference on the Theory and Application of Diagrams - Germany, Munster Duration: 27 Sept 2024 → 1 Oct 2024 Conference number: 14 https://diagrams-2024.diagrams-conference.org/

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	14981
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	14th International Conference on the Theory and Application of Diagrams
Abbreviated title	Diagrams
City	Munster
Period	27/09/24 → 1/10/24
Internet address	https://diagrams-2024.diagrams-conference.org/

Keywords

Hoop diagrams
Linear diagrams
Set visualisations

Access to Document

10.1007/978-3-031-71291-3_31

Embargoed Document

Hoop Diagrams AAM
Accepted author manuscript, 732 KB
Licence: Other
Embargo ends: 9/09/25

Cite this

Rodgers, P., Chapman, P., Blake, A., Nollenburg, M., Wallinger, M., & Dobler, A. (2024). Hoop Diagrams: A Set Visualization Method. In J. Lemanski, M. W. Johansen, E. Manalo, P. Viana, R. Bhattacharjee, & R. Burns (Eds.), Diagrammatic Representation and Inference: 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings (pp. 377-392). (Lecture Notes in Computer Science; Vol. 14981). Springer. https://doi.org/10.1007/978-3-031-71291-3_31

Rodgers, Peter ; Chapman, Peter ; Blake, Andrew et al. / Hoop Diagrams : A Set Visualization Method. Diagrammatic Representation and Inference: 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings. editor / Jens Lemanski ; Mikkel Willum Johansen ; Emmanuel Manalo ; Petrucio Viana ; Reetu Bhattacharjee ; Richard Burns. Cham : Springer, 2024. pp. 377-392 (Lecture Notes in Computer Science).

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abstract = "We introduce Hoop Diagrams, a new visualization technique for set data. Hoop Diagrams are a circular visualization with hoops representing sets and sectors representing set intersections. We present an interactive tool for drawing HoopDiagrams and describe a user study comparing them with Linear Diagrams. The results show only small differences, with users answering questions more quickly with Linear Diagrams, but answering some questions more accurately with Hoop Diagrams. Interaction data indicates that those using set order and intersection highlighting were more successful at answering questions, but those who used other interactions had a slower response. The similarity in usability suggests that the diagram type should be chosen based on the presentation method. Linear Diagrams increase in the horizontal direction with the number of intersections, leading to difficulties fitting on a screen. HoopDiagrams al-ways have a square aspect ratio.",

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Rodgers, P, Chapman, P, Blake, A, Nollenburg, M, Wallinger, M & Dobler, A 2024, Hoop Diagrams: A Set Visualization Method. in J Lemanski, MW Johansen, E Manalo, P Viana, R Bhattacharjee & R Burns (eds), Diagrammatic Representation and Inference: 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings. Lecture Notes in Computer Science, vol. 14981, Springer, Cham, pp. 377-392, 14th International Conference on the Theory and Application of Diagrams, Munster, 27/09/24. https://doi.org/10.1007/978-3-031-71291-3_31

Hoop Diagrams: A Set Visualization Method. / Rodgers, Peter; Chapman, Peter; Blake, Andrew et al.
Diagrammatic Representation and Inference: 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings. ed. / Jens Lemanski; Mikkel Willum Johansen; Emmanuel Manalo; Petrucio Viana; Reetu Bhattacharjee; Richard Burns. Cham: Springer, 2024. p. 377-392 (Lecture Notes in Computer Science; Vol. 14981).

Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review

TY - GEN

T1 - Hoop Diagrams

T2 - 14th International Conference on the Theory and Application of Diagrams

AU - Rodgers, Peter

AU - Chapman, Peter

AU - Blake, Andrew

AU - Nollenburg, Martin

AU - Wallinger, Markus

AU - Dobler, Alexander

N1 - Conference code: 14

PY - 2024/9/9

Y1 - 2024/9/9

N2 - We introduce Hoop Diagrams, a new visualization technique for set data. Hoop Diagrams are a circular visualization with hoops representing sets and sectors representing set intersections. We present an interactive tool for drawing HoopDiagrams and describe a user study comparing them with Linear Diagrams. The results show only small differences, with users answering questions more quickly with Linear Diagrams, but answering some questions more accurately with Hoop Diagrams. Interaction data indicates that those using set order and intersection highlighting were more successful at answering questions, but those who used other interactions had a slower response. The similarity in usability suggests that the diagram type should be chosen based on the presentation method. Linear Diagrams increase in the horizontal direction with the number of intersections, leading to difficulties fitting on a screen. HoopDiagrams al-ways have a square aspect ratio.

AB - We introduce Hoop Diagrams, a new visualization technique for set data. Hoop Diagrams are a circular visualization with hoops representing sets and sectors representing set intersections. We present an interactive tool for drawing HoopDiagrams and describe a user study comparing them with Linear Diagrams. The results show only small differences, with users answering questions more quickly with Linear Diagrams, but answering some questions more accurately with Hoop Diagrams. Interaction data indicates that those using set order and intersection highlighting were more successful at answering questions, but those who used other interactions had a slower response. The similarity in usability suggests that the diagram type should be chosen based on the presentation method. Linear Diagrams increase in the horizontal direction with the number of intersections, leading to difficulties fitting on a screen. HoopDiagrams al-ways have a square aspect ratio.

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M3 - Conference contribution with ISSN or ISBN

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BT - Diagrammatic Representation and Inference

A2 - Lemanski, Jens

A2 - Johansen, Mikkel Willum

A2 - Manalo, Emmanuel

A2 - Viana, Petrucio

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A2 - Burns, Richard

PB - Springer

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ER -

Rodgers P, Chapman P, Blake A, Nollenburg M, Wallinger M, Dobler A. Hoop Diagrams: A Set Visualization Method. In Lemanski J, Johansen MW, Manalo E, Viana P, Bhattacharjee R, Burns R, editors, Diagrammatic Representation and Inference: 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings. Cham: Springer. 2024. p. 377-392. (Lecture Notes in Computer Science). doi: 10.1007/978-3-031-71291-3_31