User-comprehension of Euler diagrams

Fish, Andrew; Khazaei, Babak; Roast, Chris

doi:10.1016/j.jvlc.2011.01.002

Cited by 15 publications

(8 citation statements)

References 28 publications

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“…As ou r particip ants w ou ld be stu d ents at the University of Kent, w e cou ld consid er them experts in this type of d ata. These find ings contrad ict the w ork of other researchers [9], as their conclu sions w ere that bru shing points and triple points w ere the p roperties that m ost affected u nd erstand ing ad versely, how ever, ou r stu d ies show that bru shing points have no negative im pact on u nd erstand ing and triple points are not the m ost im portant p roperty. They also conclu d e that concu rrency can actu ally aid u nd erstand ing, in fact w e fou nd that concu rrency has a significantly ad verse effect.…”

Section: Fig 2 An Example Euler Diagrammentioning

confidence: 54%

“…Finally, the large d iscrepancy betw een the resu lts of the stu d ies d escribed here and w ork by other researchers [9] m otivates fu rther investigations to d iscover if the d ifference is in task, d iagram d esign or som e other factor.…”

Section: Conclusion and Further Workmentioning

confidence: 70%

“…This w as a resu lt of u sing d iagram s that cou ld only be d raw n in a nonw ellform ed m anner. A fu rther m otivation for the second stu d y w as recent ind epend ent w ork [9] reported after w e com pleted ou r initial stu d y. As w ith ou r initial w ork, it exam ined abstract d ata w ith no real w orld insta ntiation, bu t has contrad ictory find ings.…”

Section: Fig 2 An Example Euler Diagrammentioning

confidence: 98%

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Wellformedness Properties in Euler Diagrams: Which Should Be Used?

Rodgers

Zhang

Purchase

2012

IEEE Trans. Visual. Comput. Graphics

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Abstract-Euler diagrams are often used to visualize intersecting data sets in applications such as criminology; genetics, medicine and computer file systems. One interesting aspect of these diagrams is that some data sets cannot be drawn without breaking one or more "wellformedness properties", which are considered to reduce the user comprehension of the diagrams. However, it is possible to draw the same data with different diagrams, each of which breaks different wellformedness properties. Hence, some properties are "swappable", so motivating the study of which of the alternatives would be best to use. This paper reports on the two empirical studies to determine how wellformedness properties affect comprehension. One study was with abstract data, the other was with concrete data that visualized students' enrollment on university modules. We have results from both studies that imply that diagrams with concurrency or disconnected zones perform less well than other some other properties. Further, we have no results that imply that diagrams with brushing points adversely affect performance. Our data also indicates that non-simple curves are preferred less than diagrams with other properties. These results will inform both human diagram designers and the developers of automated drawing systems on the best way to visualize data using Euler diagrams.

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Section: Fig 2 An Example Euler Diagrammentioning

confidence: 54%

Section: Conclusion and Further Workmentioning

confidence: 70%

Section: Fig 2 An Example Euler Diagrammentioning

confidence: 98%

See 1 more Smart Citation

Wellformedness Properties in Euler Diagrams: Which Should Be Used?

Rodgers

Zhang

Purchase

2012

IEEE Trans. Visual. Comput. Graphics

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“…However, in the context of closed surfaces embedded in R 3 , which is the case for all surfaces in 3D Euler diagrams, the definitions are equivalent. 5 We are using the word 'knot' for ease of understanding, but a knot theorist would require knots to have no end points. Knot theorists would call our 'knots' tangles [1].…”

Section: The Classification Theorem For Wellformed 3d Venn-3 Diagramsmentioning

confidence: 99%

“…[19] and Wilkinson [25]. In addition, the impact that various properties have on user understanding has been studied empirically [5,13].T os u m m a r i z ek e y findings from this existing work: it is known that drawing wellformed 2D Euler diagrams is important for usability, we have necessary and sufficient conditions for wellformed drawability, some sets can only be visualized with nonwellformed diagrams, and a variety of methods for automatically drawing Euler diagrams in 2D exist.…”

Section: Introductionmentioning

confidence: 99%

On the drawability of 3D Venn and Euler diagrams

Flower

Rodgers

2014

Journal of Visual Languages & Computing

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abstract3D Euler diagrams visually represent the set-theoretic notions of intersection, containment and disjointness by using closed, orientable surfaces. In previous work, we introduced 3D Venn and Euler diagrams and formally defined them. In this paper, we consider the drawability of data sets using 3D Venn and Euler diagrams. The specific contributions are as follows. First, we demonstrate that there is more choice of layout when drawing 3D Euler diagrams than when drawing 2D Euler diagrams. These choices impact the topological adjacency properties of the diagrams and having more choice is helpful for some Euler diagram drawing algorithms. To illustrate this, we consider the well-known class of Venn-3 diagrams in detail. We then proceed to consider drawability questions centered around which data sets can be visualized when the diagrams are required to possess certain properties. We show that any diagram description can be drawn with 3D Euler diagrams that have unique labels. We then go on to define a set of necessary and sufficient conditions for wellformed drawability in 3D.

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Euler Diagrams, Aristotelian Diagrams and Syllogistics

Demey,

Smessaert

2024

Lecture Notes in Computer Science

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User-comprehension of Euler diagrams

Cited by 15 publications

References 28 publications

Wellformedness Properties in Euler Diagrams: Which Should Be Used?

Wellformedness Properties in Euler Diagrams: Which Should Be Used?

On the drawability of 3D Venn and Euler diagrams

Euler Diagrams, Aristotelian Diagrams and Syllogistics

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