Plotting

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\(\newcommand {\LWRsiunitxENDTWO }{}\) \(\def \LWRsiunitxprintdecimalsubtwo #1,#2,#3\LWRsiunitxENDTWO {\ifblank {#1}{0}{\mathrm {#1}}\ifblank {#2}{}{{\LWRsiunitxdecimal }\mathrm {#2}}}\) \(\def \LWRsiunitxprintdecimalsub #1.#2.#3\LWRsiunitxEND {\LWRsiunitxprintdecimalsubtwo #1,,\LWRsiunitxENDTWO \ifblank {#2}{}{{\LWRsiunitxdecimal }\LWRsiunitxprintdecimalsubtwo #2,,\LWRsiunitxENDTWO }}\) \(\newcommand {\LWRsiunitxprintdecimal }[1]{\LWRsiunitxprintdecimalsub #1...\LWRsiunitxEND }\) \(\def \LWRsiunitxnumplus #1+#2+#3\LWRsiunitxEND {\ifblank {#2}{\LWRsiunitxprintdecimal {#1}}{\ifblank {#1}{\LWRsiunitxprintdecimal {#2}}{\LWRsiunitxprintdecimal {#1}\unicode {x02B}\LWRsiunitxprintdecimal {#2}}}\LWRsiunitxdistribunit }\) \(\def \LWRsiunitxnumminus #1-#2-#3\LWRsiunitxEND {\ifblank {#2}{\LWRsiunitxnumplus #1+++\LWRsiunitxEND }{\ifblank {#1}{}{\LWRsiunitxprintdecimal {#1}}\unicode {x02212}\LWRsiunitxprintdecimal {#2}\LWRsiunitxdistribunit }}\) \(\def \LWRsiunitxnumpmmacro #1\pm #2\pm 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\LWRsiunitxrangephrase {\TextOrMath { }{\ }\protect \mbox {to}\TextOrMath { }{\ }}\) \(\def \LWRsiunitxdecimal {.}\)

9 How a Reader Groups Marks

A reader does not perceive marks individually and then assemble them. Grouping happens first, automatically, and follows a set of regularities. Three of them do most of the work inside ordinary charts, and Fig. 9.1 shows each doing it.

(image)

Figure 9.1: Grouping laws inside charts. (a) Proximity: twelve bars at uniform height spacing read as three groups of four, purely from the gaps. (b) Similarity: one set of points in two colors reads as two interleaved series. (c) and (d) Continuity: identical coordinates, drawn as loose points and then connected. Only the connected version resolves into two crossing curves.

Each law is a tool and a hazard, because it applies whether or not the grouping it produces is real.

  • • Proximity groups by spacing. Deliberate use: widen the gap between categories that belong to different conditions, and the reader sees the conditions without a legend. Accidental use: uneven spacing produced by a default layout invents groups that are not in the data.

  • • Similarity groups by shared appearance. This is what makes a color legend work at all. It also means that two unrelated series drawn in similar colors will be read as one, and that reusing a color across panels asserts that the two things are the same thing.

  • • Continuity is asserted by a connecting line, and a line is a claim that the samples between the marks lie on the path drawn. That claim is true for a time series and false for measurements at unordered categories. Connecting points across a gap in the recording makes the same false claim; break the line at the gap instead.

  • • Closure lets a reader complete a shape from part of its outline, which is why a chart needs no box around it and no axis line on the side that carries no scale.

Similarity is more than alike or not alike. Where the series being grouped have an order of their own, the appearance that groups them can carry that order as well, as illustrated in Fig. 9.2.

(image)

Figure 9.2: Five successive model versions scored on three classes, shaded two ways. Proximity makes the three groups in both panels, so what differs is whether a version can be traced from one group to the next. (a) Gray levels \(0.55\), \(0.80\), \(0.00\), \(1.00\) and \(0.40\), taken in the order the versions come in. (b) The same numbers on a ramp from \(0.90\) to \(0.35\) in equal steps.

Shading a set of series

  • • If the series have an order, encode it: one ramp, monotone in lightness, and let dark stand for one end of it throughout the figure.

  • • If they have no order, use a qualitative scheme and do not imply one.

Either way the reader is meant to get the grouping and the ranking from the same channel, without consulting the key twice.