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An Introduction to RLattice Graphics
Deepayan Sarkar
Indian Statistical Institute, Delhi
October 2011
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R graphics
• R has two largely independent graphics subsystems• Traditional graphics
• Available in R from the beginning• Rich collection of tools• Not very flexible
• Grid graphics• Relatively recent (2000)• Low-level tool, highly flexible
• Grid forms the basis of two high-level graphics systems:• lattice: based on Trellis graphics (Cleveland)• ggplot2: inspired by “Grammar of Graphics” (Wilkinson)
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The lattice package
• Trellis graphics for R (originally developed in S)• Powerful high-level data visualization system• Provides common statistical graphics with conditioning
• Emphasis on multivariate data• Sufficient for typical graphics needs• Flexible enough to handle most nonstandard requirements
• Traditional user interface:• Collection of high-level functions: xyplot, dotplot, etc.• Interface based on formula and data source
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High-level functions in lattice
Function Default Displayhistogram() Histogramdensityplot() Kernel Density Plotqqmath() Theoretical Quantile Plotqq() Two-sample Quantile Plotstripplot() Stripchart (Comparative 1-D Scatter Plots)bwplot() Comparative Box-and-Whisker Plotsbarchart() Bar Plotdotplot() Cleveland Dot Plotxyplot() Scatter Plotsplom() Scatter-Plot Matrixcontourplot() Contour Plot of Surfaceslevelplot() False Color Level Plot of Surfaceswireframe() Three-dimensional Perspective Plot of Surfacescloud() Three-dimensional Scatter Plotparallel() Parallel Coordinates Plot
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The Chem97 dataset
1997 A-level Chemistry examination in Britain> data(Chem97, package = "mlmRev")> head(Chem97[c("score", "gender", "gcsescore")])
score gender gcsescore1 4 F 6.6252 10 F 7.6253 10 F 7.2504 10 F 7.5005 8 F 6.4446 10 F 7.750
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> histogram(~ gcsescore, data = Chem97)
gcsescore
Per
cent
of T
otal
0
5
10
15
20
25
0 2 4 6 8
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> histogram(~ gcsescore | factor(score), data = Chem97)
gcsescore
Per
cent
of T
otal
0
10
20
30
0 2 4 6 8
0 2
0 2 4 6 8
4
6
0 2 4 6 8
8
0
10
20
30
10
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> densityplot(~ gcsescore | factor(score), Chem97,plot.points = FALSE,groups = gender, auto.key = TRUE)
gcsescore
Den
sity
0.0
0.2
0.4
0.6
0.8
0 2 4 6 8
0 2
0 2 4 6 8
4
6
0 2 4 6 8
8
0.0
0.2
0.4
0.6
0.8
10
MF
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Trellis Philosophy: Part I
• Display specified in terms of• Type of display (histogram, densityplot, etc.)• Variables with specific roles
• Typical roles for variables• Primary variables: used for the main graphical display• Conditioning variables: used to divide into subgroups and
juxtapose (multipanel conditioning)• Grouping variable: divide into subgroups and superpose
• Primary interface: high-level functions• Each function corresponds to a display type• Specification of roles depends on display type
• Usually specified through the formula and the groupsargument
![Page 10: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/10.jpg)
> qqmath(~ gcsescore | factor(score), Chem97,groups = gender, auto.key = list(columns = 2),f.value = ppoints(100),type = c("p", "g"), aspect = "xy")
qnorm
gcse
scor
e
3
4
5
6
7
8
−2 −1 0 1 2
0 2
−2 −1 0 1 2
4
6
−2 −1 0 1 2
8
3
4
5
6
7
8
10
M F
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> qq(gender ~ gcsescore | factor(score), Chem97,f.value = ppoints(100), type = c("p", "g"),aspect = 1)
M
F
3
4
5
6
7
8
3 4 5 6 7 8
0 2
3 4 5 6 7 8
4
6
3 4 5 6 7 8
8
3
4
5
6
7
8
10
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> bwplot(factor(score) ~ gcsescore | gender, Chem97)
gcsescore
0
2
4
6
8
10
0 2 4 6 8
M
0 2 4 6 8
F
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> bwplot(gcsescore ~ gender | factor(score), Chem97,layout = c(6, 1))
gcse
scor
e
0
2
4
6
8
M F
0
M F
2
M F
4
M F
6
M F
8
M F
10
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> stripplot(depth ~ factor(mag), data = quakes,jitter.data = TRUE, alpha = 0.6)
dept
h
200
400
600
4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.9 6 6.1 6.4
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The VADeaths dataset
• Death rates in Virginia, 1941, among different populationsubgroups
> VADeaths
Rural Male Rural Female Urban Male50-54 11.7 8.7 15.455-59 18.1 11.7 24.360-64 26.9 20.3 37.065-69 41.0 30.9 54.670-74 66.0 54.3 71.1
Urban Female50-54 8.455-59 13.660-64 19.365-69 35.170-74 50.0
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> barchart(VADeaths, groups = FALSE, layout = c(4, 1))
Freq
50−54
55−59
60−64
65−69
70−74
0 20 40 60
Rural Male
0 20 40 60
Rural Female
0 20 40 60
Urban Male
0 20 40 60
Urban Female
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> dotplot(VADeaths, groups = FALSE, layout = c(4, 1))
Freq
50−54
55−59
60−64
65−69
70−74
20 40 60
Rural Male
20 40 60
Rural Female
20 40 60
Urban Male
20 40 60
Urban Female
![Page 18: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/18.jpg)
> dotplot(VADeaths, type = "o",auto.key = list(points = TRUE, lines = TRUE,
space = "right"))
Freq
50−54
55−59
60−64
65−69
70−74
20 40 60
Rural MaleRural FemaleUrban MaleUrban Female
![Page 19: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/19.jpg)
> data(Earthquake, package = "nlme")> xyplot(accel ~ distance, data = Earthquake)
distance
acce
l
0.0
0.2
0.4
0.6
0.8
0 100 200 300
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> xyplot(accel ~ distance, data = Earthquake,scales = list(log = TRUE),type = c("p", "g", "smooth"))
distance
acce
l
10^−2.5
10^−2.0
10^−1.5
10^−1.0
10^−0.5
10^0.0
10^0.0 10^0.5 10^1.0 10^1.5 10^2.0 10^2.5
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> Depth <- equal.count(quakes$depth, number = 8,overlap = 0.1)
> summary(Depth)
Intervals:min max count
1 39.5 63.5 1382 60.5 102.5 1383 97.5 175.5 1384 161.5 249.5 1425 242.5 460.5 1386 421.5 543.5 1377 537.5 590.5 1408 586.5 680.5 137
Overlap between adjacent intervals:[1] 16 14 19 15 14 15 15
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> xyplot(lat ~ long | Depth, data = quakes)
long
lat
−35
−30
−25
−20
−15
−10
165 170 175 180 185
Depth Depth
165 170 175 180 185
Depth
Depth Depth
−35
−30
−25
−20
−15
−10Depth
−35
−30
−25
−20
−15
−10Depth
165 170 175 180 185
Depth
![Page 23: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/23.jpg)
> cloud(depth ~ lat * long, data = quakes,zlim = rev(range(quakes$depth)),screen = list(z = 105, x = -70),panel.aspect = 0.75)
lat
long
depth
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> cloud(depth ~ lat * long, data = quakes,zlim = rev(range(quakes$depth)),screen = list(z = 80, x = -70),panel.aspect = 0.75)
lat
long
depth
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More high-level functions
• More high-level functions in lattice• Won’t discuss, but examples in manual page
• Other Trellis high-level functions can be defined in otherpackages, e.g.,
• ecdfplot(), mapplot() in the latticeExtra package• hexbinplot() in the hexbin package
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The “trellis” object model
• One important feature of lattice:• High-level functions do not actually plot anything• They return an object of class “trellis”• Display created when such objects are print()-ed orplot()-ed
• Usually not noticed because of automatic printing rule• Can be used to arrange multiple plots• Other uses as well
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> dp.uspe <-dotplot(t(USPersonalExpenditure),
groups = FALSE, layout = c(1, 5),xlab = "Expenditure (billion dollars)")
> dp.uspe.log <-dotplot(t(USPersonalExpenditure),
groups = FALSE, layout = c(1, 5),scales = list(x = list(log = 2)),xlab = "Expenditure (billion dollars)")
> plot(dp.uspe, split = c(1, 1, 2, 1))> plot(dp.uspe.log, split = c(2, 1, 2, 1),
newpage = FALSE)
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Expenditure (billion dollars)
19401945195019551960
0 20 40 60 80
Food and Tobacco19401945195019551960
Household Operation19401945195019551960
Medical and Health19401945195019551960
Personal Care19401945195019551960
Private Education
Expenditure (billion dollars)
19401945195019551960
2^0 2^2 2^4 2^6
Food and Tobacco19401945195019551960
Household Operation19401945195019551960
Medical and Health19401945195019551960
Personal Care19401945195019551960
Private Education
![Page 29: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/29.jpg)
Trellis Philosophy: Part I
• Display specified in terms of• Type of display (histogram, densityplot, etc.)• Variables with specific roles
• Typical roles for variables• Primary variables: used for the main graphical display• Conditioning variables: used to divide into subgroups and
juxtapose (multipanel conditioning)• Grouping variable: divide into subgroups and superpose
• Primary interface: high-level functions• Each function corresponds to a display type• Specification of roles depends on display type
• Usually specified through the formula and the groupsargument
![Page 30: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/30.jpg)
Trellis Philosophy: Part II
• Design goals:• Enable effective graphics by encouraging good graphical
practice (e.g., Cleveland, 1985)• Remove the burden from the user as much as possible by
building in good defaults into software• Some obvious examples:
• Use as much of the available space as possible• Encourage direct comparsion by superposition (grouping)• Enable comparison when juxtaposing (conditioning):
• use common axes• add common reference objects (such as grids)
• Inevitable departure from traditional R graphics paradigms
![Page 31: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/31.jpg)
Trellis Philosophy: Part III
• Any serious graphics system must also be flexible• lattice tries to balance flexibility and ease of use using the
following model:• A display is made up of various elements• Coordinated defaults provide meaningful results, but• Each element can be controlled independently• The main elements are:
• the primary (panel) display• axis annotation• strip annotation (describing the conditioning process)• legends (typically describing the grouping process)
![Page 32: Lattice Graphics Deepayan Sarkardeepayan/R-tutorials/labs/04_lattice_slides.pdfThe lattice package • Trellis graphics for R (originally developed in S) • Powerful high-level data](https://reader035.vdocuments.mx/reader035/viewer/2022070710/5ec53bbe36a8de567428438b/html5/thumbnails/32.jpg)
• The full system would take too long to describe• Online documentation has details; start with ?Lattice