Discrete Versus Solid

It is common in infographics for quantities to be represented by stacks of discrete blocks. For example, a magazine illustration showing automobile production in different countries might use stacks of blocks with each block representing a thousand cars. This is unlike what is done to represent quantity in the charts used by statisticians, or for quantitative glyphs used in maps. In these cases, solid bars or solid area glyphs such as circles are commonly used to represent quantity. This raises the question of whether breaking bars, area, or volume glyphs into discrete blocks can improve the rapid estimation of quantity. We report on a study where participants compared quantities represented using bar, area, and volume glyphs in both solid and discrete variants. The discrete variants used up to 4, 4 × 4, and 4 × 4 × 4 blocks or 10, 10 × 10, and 10 × 10 × 10 blocks for bar, area, and volume, respectively. The results show that people are significantly more accurate in estimating quantities using the discrete versions, but they take somewhat longer. For both areas and volumes, the accuracy gains were considerable.

[1]  Z. Pylyshyn,et al.  Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. , 1994, Psychological review.

[2]  D. Clements Subitizing: What Is It? Why Teach It?. , 1999 .

[3]  F. E. Croxton,et al.  Graphic Comparisons by Bars, Squares, Circles, and Cubes , 1932 .

[4]  Colin Ware,et al.  Information Visualization: Perception for Design , 2000 .

[5]  C. Gallistel,et al.  Preverbal and verbal counting and computation , 1992, Cognition.

[6]  Gösta Ekman,et al.  PSYCHOPHYSICAL RELATIONS IN VISUAL PERCEPTION OF LENGTH, AREA AND VOLUME , 1961 .

[7]  M. Teghtsoonian THE JUDGMENT OF SIZE. , 1965, The American journal of psychology.

[8]  W. Cleveland,et al.  Graphical Perception: Theory, Experimentation, and Application to the Development of Graphical Methods , 1984 .

[9]  Frank N. Freeman,et al.  Grouped Objects as a Concrete Basis for the Number Idea , 1912, The Elementary School Teacher.

[10]  Romain Vuillemot,et al.  Using Concrete Scales: A Practical Framework for Effective Visual Depiction of Complex Measures , 2013, IEEE Transactions on Visualization and Computer Graphics.

[11]  Frank Restle,et al.  Process of enumeration. , 1966, Psychological review.

[12]  J. Baird,et al.  Test of a Cognitive Theory of Psychophysics: Size Discrimination , 1970, Perceptual and motor skills.

[13]  Gösta Ekman,et al.  A Psychophysical Study of Cartographic Symbols , 1963 .

[14]  E. L. Kaufman,et al.  The discrimination of visual number. , 1949, The American journal of psychology.

[15]  Tony J. Simon,et al.  Computational evidence for the subitizing phenomenon as an emergent property of the human cognitive architecture , 2000, Cogn. Sci..

[16]  Rochel Gelman,et al.  Subitizing: The preverbal counting process. , 1991 .

[17]  David K. Simkin,et al.  An Information-Processing Analysis of Graph Perception , 1987 .

[18]  O. Neurath International picture language : the first rules of isotype , 1936 .