Small multiple

A small multiple (sometimes called trellis chart, lattice chart, grid chart, or panel chart) is a series of similar graphs or charts using the same scale and axes, allowing them to be easily compared. It uses multiple views to show different partitions of a dataset. The term was popularized by Edward Tufte.

According to Tufte,

At the heart of quantitative reasoning is a single question: Compared to what? Small multiple designs, multivariate and data bountiful, answer directly by visually enforcing comparisons of changes, of the differences among objects, of the scope of alternatives. For a wide range of problems in data presentation, small multiples are the best design solution.[1]

Modern example

In the example, the departmental salary expense is charted by month with a dashed line indicating the average for each department. The scales on each panel are different to emphasize the relative change over time compared to the range. Standardizing the scales could provide insight into comparisons in magnitude between the different departments. Two independent Y axes may be utilized when presenting data with different numeric scales in each panel.[2][3]

Departmental salary expenses

Historical examples
Horse In Motion, Muybridge (1886)

Some of the earliest known examples of this type of visualization include the photographic series Horse In Motion by Eadweard Muybridge, around 1886, and Francis Amasa Walker's chart of citizen's occupations in census year 1870 appearing in the Statistical Atlas of the United States.[4][5]

Muybridge's work not only proved for the first time that all four of a horse's hooves left the ground during gallop (see upper central plates), but it also broke new ground in terms of artistic expression and became foundational to the development of the motion picture. Muybridge went on to produce many more examples of small multiples showing animal locomotion through the medium of stop-motion photography, including boys playing leapfrog and a bison cantering.

Sketched graphic examples can be found in Francis Amasa Walker's charts appearing in the 1870 Statistical Atlas of the United States. Superintendent of the US Census at the time of its creation, Walker was determined to modernize the Census collection and analysis methods and used the Atlas to present the final data set using unprecedented visual forms, including many beautiful examples of small multiples.

Persons with gainful occupations and attending school, Walker (1874)

Adjacent is a chart showing the population broken down by occupation, including a count of those attending school, according to the 1870 Census. This graphic is innovative in its use of both a treemap display and a latticed layout of small multiples. Additional examples appearing in the Atlas include side-by-side geographic maps showing the changes in population over time, as well as tiled mosaic charts showing population demographic breakdowns, and diverging bar graphs showing deaths broken down by age and gender, tiled by state.[5]

Thematic maps
Small multiple map series showing the trends in partisan voting margins in Utah, 1900–2012.

Small multiples are a popular technique in cartographic design for multivariate mapping. As with the small multiple chart, each panel uses the same underlying two-dimensional space, but in this case that is a geographic space. Typically, the variables being mapped are of a similar type, such as types of agricultural products, so that the same strategy of map symbol can be used on each panel, enabling rapid comparison between the maps.

Another common use of small multiples is to show change in spatial patterns over time, as an alternative to an animated map.[6] Several tests of the effectiveness of each method have generally concluded that they have distinct advantages, with animation being better for seeing trends, especially movement, and small multiples being better for making comparisons between times.[7]

References
  1. Tufte, Edward (1990). Envisioning Information. Graphics Press. p. 67. ISBN 978-0961392116.
  2. "Plotting a Trellis Plot with Double Y Axis". Origin Blog. 2018-10-18. Retrieved 2019-04-25.
  3. R.bhabuk, U. (2013-05-02). "R graph gallery: RG#102: Double Y axis trellis plot (weather data example)". R graph gallery. Retrieved 2019-04-25.
  4. Herbert, Alan. "Horse in Motion, Eadweard Muybridge, ca. 1886". Harry Ransom Center, The University of Texas at Austin. Retrieved 10 February 2019.
  5. United States, Bureau of the Census. "Statistical Atlas of the United States : Based on the Results of the Ninth Census 1870". FRASER St. Louis Fed. Retrieved 10 February 2019.
  6. Griffin, Amy L.; MacEachren, Alan M.; Hardisty, Frank; Steiner, Erik; Li, Bonan (2006). "A Comparison of Animated Maps with Static Small-Multiple Maps for Visually Identifying Space-Time Clusters". Annals of the Association of American Geographers. 96 (4): 740–753. doi:10.1111/j.1467-8306.2006.00514.x. S2CID 53356363.
  7. Slocum, Terry A.; Sluter, R.S.; Kessler, Fritz C.; Yoder, S.C. (2004). "A qualitative evaluation of MapTime, a program for exploring spatiotemporal point data". Cartographica. 39 (3): 43–68. doi:10.3138/92T3-T928-8105-88X7.
  • Tufte, Edward (1983). Visual Display of Quantitative Information. Graphics Press. ISBN 978-1930824133.
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