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How to Delight With Statistics
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Etymology, the study of word origins, often interests people otherwise
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uninterested in language. The reason, surely, is that etymology is tethered to
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ordinary life in ways that are easy to grasp. Anyone can enjoy knowing how a
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$10 bill came to be called a sawbuck (the Roman numeral "X" that appeared on
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early notes reminded people of the wooden sawbuck used in carpentry), or how
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the word "robot" came into English (it comes from the Czech word "robota,"
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meaning "drudgery," and was part of the title of a widely popular 1920 Czech
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play), or how the Indo-European root for "beech tree," "bhago-," gave us the
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word "book" (Germanic tribes used beech staves to carve runes on). We like
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etymologies because they tell us stories.
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There would be no telling of stories at all, of course,
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without grammar. But people uninterested in language issues are content to
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remain uninterested in grammar. Grammar, the genetic blueprint of meaning,
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operates at a level of abstraction. Nouns and verbs and other parts of speech
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are considered not as familiar individuals but as members of different species.
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Their interactions are considered as elements of an ecosystem. Grammar is hard
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to visualize, and it is harder to enjoy.
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Or at
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least it was, until a man named Edward R. Tufte began to publish his work about
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the display of information in the early 1980s. Tufte has produced three books
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that make it possible to see the dynamics of linguistic grammar in a
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brilliantly synesthetic way--books that succeed in this task by not having
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grammar as their ostensible subject at all.
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Edward Tufte is a professor at Yale who teaches
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courses in statistics and information design. In 1983 he produced an elegant
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book with the unprepossessing title The Visual Display of Quantitative
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Information , which both explained and demonstrated certain rules for
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presenting numerical data in a graphically arresting manner. This tour de
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force--written, designed, and published by Tufte himself--was immediately
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recognized as a classic by data wonks and makers of fine books alike. It has
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never been out of print.
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In his
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analysis of such improbably compelling genres as railroad schedules and balance
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sheets, chemical symbols and weather summaries, Tufte reprinted numerous
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graphic displays that epitomized the statistical draughtsman's conceptual art.
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In the French engineer Charles Joseph Minard's 1861 encapsulation of Napoleon's
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Russian campaign, for example, a compact space revealed the diminishing size of
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the army, its day-to-day geographical location, the direction of its route, the
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passage of time, and the gradual drop in the temperature. It is a map, Tufte
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noted, that illustrates "how multivariate complexity can be subtly integrated
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into graphical architecture, integrated so gently and unobtrusively that
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viewers are hardly aware that they are looking into a world of four or five
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dimensions."
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Tufte did not explicitly spell out his ultimate intentions
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in that first volume of his trilogy, but it has turned out that the whole
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series has been produced according to a precise schema--as he now indicates in
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the introduction to Visual Explanations , which was just published by his
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company, . The Visual Display of Quantitative Information had been
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devoted to pictures of numbers, he explains--"how to depict data and enforce
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statistical honesty" whether the subject is traffic deaths or the distribution
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of galaxies. The second book in the series, Envisioning Information
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(1990), was about pictures of nouns--that is, about representational rather
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than numerical reality: the depiction of cartographic information, diagrams,
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and signage. (What's the best way to show sunspot activity, for example, or the
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working of a subway system?) The third book, Visual Explanations , is
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about pictures of verbs--that is, about displays that illustrate dynamic
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processes and can therefore function as explanatory narratives.
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These explanatory narratives, these pictures of
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verbs, can offer remarkable insight when properly conceived. Tufte's inclusion
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of John Snow's famous map of the 1854 cholera epidemic in London is a case in
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point: Snow's street-by-street tracking of cholera deaths pointed unmistakably
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to the culprit--the water coming out of the Broad Street pump. The pump handle
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was removed at once, and the epidemic ceased.
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In
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contrast, these verb pictures can also smother insight when ill-conceived--as
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were the charts prepared by the manufacturer Morton Thiokol to illustrate the
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behavior in cold weather of the O-rings on the space shuttle Challenger. These
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charts, which failed to convince NASA officials not to launch the shuttle, were
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confusing--dense with invitations to second-guess, even though crucial
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information that would have delayed the launch was undeniably "there"
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(somewhere). The O-ring itself, Tufte makes clear, was not the only design
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element whose malfunction contributed to the Challenger tragedy. After
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presenting his own version of what the charts should have looked like,
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Tufte writes, "There are right ways and wrong ways to show data; there are
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displays that reveal truth and displays that do not."
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What makes a visual display effective? Tufte lays out rules
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about such things as density and emphasis, chartjunk and clutter, layering and
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hierarchy, color and parallelism--all of which have synesthetic grammatical
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analogs in writing. (Hierarchy, for instance, is the building of large
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structures out of small ones, be they nautical charts out of soundings or
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sentences out of morphemes.) Aware of the parallels between visual grammar and
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written grammar, Tufte frequently makes direct comparisons that enhance one's
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understanding of each. In one place he shows how the rhetorical shape of a
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passage in Gibbon's Decline and Fall of the Roman Empire , with its
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paired images and a ribbing of parallel verbs, finds a visual counterpoint in
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works of landscape design and even dance notation. (To get the full picture, so
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to speak, you'll have to look at the book yourself.) An entire chapter is
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devoted to the concept of "smallest effective difference," showing how
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distinctions that are subtle but clear (two light colors on a map, say) can be
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far more powerful visually than any amount of heavy-handed contrast--as useful
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a lesson in writing as it is in graphic design.
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What one does not expect in a book of this
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kind--a book that is technical even as it is beautiful--is that the author will
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be not just fastidious but also an evocative and wonderfully quirky writer.
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Tufte is all of these. In his discussion of one historic work--Jean Buchon's
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comparison of American rivers in his 1825 Atlas Geographique --Tufte
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notes how the depictions of the Mississippi and the Amazon must curl around the
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page, since there's no room to show them stretched out like the other rivers.
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Actually, what Tufte says is, "[T]he two rivers meander boustrophedonically
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around a tight frame." That word boustrophedon describes writing that goes from
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left to right on the first line, then right to left on the second, then left to
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right on the third, and so on; it comes from a Greek word describing the
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turning in a field of an ox and plow. Tufte, too, likes his etymologies.
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