Using Concrete Scales: A Practical Framework for Effective Visual Depiction of Complex Measures

From financial statistics to nutritional values, we are frequently exposed to quantitative information expressed in measures of either extreme magnitudes or unfamiliar units, or both. A common practice used to comprehend such complex measures is to relate, re-express, and compare them through visual depictions using magnitudes and units that are easier to grasp. Through this practice, we create a new graphic composition that we refer to as a concrete scale. To the best of our knowledge, there are no design guidelines that exist for concrete scales despite their common use in communication, educational, and decision-making settings. We attempt to fill this void by introducing a novel framework that would serve as a practical guide for their analysis and design. Informed by a thorough analysis of graphic compositions involving complex measures and an extensive literature review of scale cognition mechanisms, our framework outlines the design space of various measure relations-specifically relations involving the re-expression of complex measures to more familiar concepts-and their visual representations as graphic compositions.

[1]  W. P. White ON POWERS OF TEN. , 1912, Science.

[2]  Pierre Dragicevic,et al.  Assessing the Effect of Visualizations on Bayesian Reasoning through Crowdsourcing , 2012, IEEE Transactions on Visualization and Computer Graphics.

[3]  Denise L Drane,et al.  A Typology of Undergraduate Students' Conceptions of Size and Scale: Identifying and Characterizing Conceptual Variation. , 2011 .

[4]  S. Kosslyn Understanding charts and graphs , 1989 .

[5]  Denise L Drane,et al.  Understanding Undergraduate Students' Conceptions of a Core Nanoscience Concept: Size and Scale , 2007 .

[6]  S. Semken,et al.  Informal Geoscience Education on a Grand Scale: The Trail of Time Exhibition at Grand Canyon , 2008 .

[7]  Niklas Elmqvist,et al.  Exploring the design space of composite visualization , 2012, 2012 IEEE Pacific Visualization Symposium.

[8]  Joachim Meyer,et al.  Chartjunk or goldgraph? Effects of persenataion objectives and content desirability on information presentation: effects of presentation objectives and content desirability on information presentation , 1999 .

[9]  H. D. Curtis,et al.  The Scale of the Universe , 2015 .

[10]  M. G. Jones,et al.  Conceptual Boundaries and Distances: Students' and Experts' Concepts of the Scale of Scientific Phenomena , 2006 .

[11]  J. Parker,et al.  Using Google Earth to Teach the Magnitude of Deep Time. , 2011 .

[12]  Martin Graham,et al.  A Survey of Multiple Tree Visualisation , 2010, Inf. Vis..

[13]  S. Sharpless,et al.  The Scale of the Universe , 1953 .

[14]  Otto Neurath,et al.  International Picture Language , 1936 .

[15]  Hajo Rijgersberg,et al.  How semantics can improve engineering processes: A case of units of measure and quantities , 2011, Adv. Eng. Informatics.

[16]  M. G. Jones,et al.  Accuracy of Scale Conceptions in Science: Mental Maneuverings across Many Orders of Spatial Magnitude. , 2006 .

[17]  Carl Gutwin,et al.  Useful junk?: the effects of visual embellishment on comprehension and memorability of charts , 2010, CHI.

[18]  M. Gail Jones,et al.  Developing a Sense of Scale: Looking Backward , 2008 .

[19]  Vivek Verma,et al.  Comparative flow visualization , 2004, IEEE Transactions on Visualization and Computer Graphics.

[20]  Bethany Broadwell,et al.  Estimating Linear Size and Scale: Body rulers , 2009 .

[21]  P. Skudlarski,et al.  Quantity determination and the distance effect with letters, numbers, and shapes: a functional MR imaging study of number processing. , 2003, AJNR. American journal of neuroradiology.

[22]  Yuri Engelhardt,et al.  The Language of Graphics: A Framework for the Analysis of Syntax and Meaning in Maps, Charts and Diagrams , 2002, ILLC dissertation series.

[23]  R. D. Portugal,et al.  Weber-Fechner Law and the Optimality of the Logarithmic Scale , 2011, Minds and Machines.

[24]  李刚 《COSMIC VOYAGE》评述 , 2010 .

[25]  Joachim Meyer,et al.  Chartjunk or Goldgraph? Effects of Presentation Objectives and Content Desirability on Information Presentation , 1999, MIS Q..

[26]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[27]  Joyce Ma Scale Ladders - Communicating Size and Scale , 2007 .

[28]  Chris Quintana,et al.  Representing "too small to see" as "too small to see" with temporal representation , 2012, CHI.

[29]  Jonathan C. Roberts,et al.  Visual comparison for information visualization , 2011, Inf. Vis..

[30]  T. Tuulmets,et al.  Occupancy model of perceived numerosity , 1991, Perception & psychophysics.