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Visualizing Sets: An Empirical Comparison of Diagram Types

Chapman, Peter, Stapleton, Gem, Rodgers, Peter, Micallef, Luana, Blake, Andrew (2014) Visualizing Sets: An Empirical Comparison of Diagram Types. In: Diagrammatic Representation and Inference. 8th International Conference, Diagrams 2014. Lecture Notes in Artificial Intelligence , 8578. pp. 146-160. Springer ISBN 978-3-662-44042-1. (doi:10.1007/978-3-662-44043-8_18) (KAR id:38993)


There are a range of diagram types that can be used to visualize sets. However, there is a significant lack of insight into which is the most effective visualization. To address this knowledge gap, this paper empirically evaluates four diagram types: Venn diagrams, Euler diagrams with shading, Euler diagrams without shading, and the less well-known linear diagrams. By collecting performance data (time to complete tasks and error rate), through crowdsourcing, we establish that linear diagrams outperform the other three diagram types in terms of both task completion time and number of errors. Venn diagrams perform worst from both perspectives. Thus, we provide evidence that linear diagrams are the most effective of these four diagram types for representing sets.

Item Type: Conference or workshop item (Paper)
DOI/Identification number: 10.1007/978-3-662-44043-8_18
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Luana Micallef
Date Deposited: 03 Apr 2014 13:14 UTC
Last Modified: 09 Mar 2023 11:33 UTC
Resource URI: (The current URI for this page, for reference purposes)

University of Kent Author Information

Rodgers, Peter.

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Micallef, Luana.

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