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Data visualization with ggplot2 R.W. Oldford

Data visualization with ggplot2

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Page 1: Data visualization with ggplot2

Data visualization with ggplot2

R.W. Oldford

Page 2: Data visualization with ggplot2

Computational pipelines

Have some function/module which takes some input, performs some actions on it(transformations, summarizing, adding information, etc.) and produces output:

If we have several of these, we can connect them one to another in sequence to producea “pipeline” of modules or steps in the processing of the original input:

The connected components form a “pipeline” through which the original input “flows”,with some processing/transformation of the data occurring at each step.

Page 3: Data visualization with ggplot2

Computational pipelines

Have some function/module which takes some input, performs some actions on it(transformations, summarizing, adding information, etc.) and produces output:

If we have several of these, we can connect them one to another in sequence to producea “pipeline” of modules or steps in the processing of the original input:

The connected components form a “pipeline” through which the original input “flows”,with some processing/transformation of the data occurring at each step.

Page 4: Data visualization with ggplot2

Computational pipelines

Have some function/module which takes some input, performs some actions on it(transformations, summarizing, adding information, etc.) and produces output:

If we have several of these, we can connect them one to another in sequence to producea “pipeline” of modules or steps in the processing of the original input:

The connected components form a “pipeline” through which the original input “flows”,with some processing/transformation of the data occurring at each step.

Page 5: Data visualization with ggplot2

Computational pipelines

Have some function/module which takes some input, performs some actions on it(transformations, summarizing, adding information, etc.) and produces output:

If we have several of these, we can connect them one to another in sequence to producea “pipeline” of modules or steps in the processing of the original input:

The connected components form a “pipeline” through which the original input “flows”,with some processing/transformation of the data occurring at each step.

Page 6: Data visualization with ggplot2

Computational pipelines

Have some function/module which takes some input, performs some actions on it(transformations, summarizing, adding information, etc.) and produces output:

If we have several of these, we can connect them one to another in sequence to producea “pipeline” of modules or steps in the processing of the original input:

The connected components form a “pipeline” through which the original input “flows”,with some processing/transformation of the data occurring at each step.

Page 7: Data visualization with ggplot2

Computational pipelines

Have some function/module which takes some input, performs some actions on it(transformations, summarizing, adding information, etc.) and produces output:

If we have several of these, we can connect them one to another in sequence to producea “pipeline” of modules or steps in the processing of the original input:

The connected components form a “pipeline” through which the original input “flows”,with some processing/transformation of the data occurring at each step.

Page 8: Data visualization with ggplot2

Computational pipelines

Have some function/module which takes some input, performs some actions on it(transformations, summarizing, adding information, etc.) and produces output:

If we have several of these, we can connect them one to another in sequence to producea “pipeline” of modules or steps in the processing of the original input:

The connected components form a “pipeline” through which the original input “flows”,with some processing/transformation of the data occurring at each step.

Page 9: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes | grep ".pdf" | sort | more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 10: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes | grep ".pdf" | sort | more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 11: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes

| grep ".pdf" | sort | more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 12: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes | grep ".pdf"

| sort | more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 13: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes | grep ".pdf" | sort

| more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 14: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes | grep ".pdf" | sort | more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 15: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes | grep ".pdf" | sort | more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 16: Data visualization with ggplot2

Computational pipelines

A simple metaphor (viz. that of laying pipes end to end):

- data passes through and is processed by a set of computational steps serially linked sothat the output of one becomes the input of the next

- the Unix “pipe” | is called a “pipe”: ls -R Notes | grep ".pdf" | sort | more

- a graphics rendering pipeline (from Kaufman, Fan and Petkov (2009) Implementing the lattice Boltzmann model oncommodity graphics hardware J. Stat. Mech.)]

Page 17: Data visualization with ggplot2

Wilkinson’s Grammar of Graphics pipeline

Lee Wilkinson’s monumental The Grammar of Graphics begins with a pipelinemodel for constructing statistical graphics:

Each step in the pipeline transforms its input to produce output for the next step.

The order of steps is essential, though not all need be there for every plot.

Because the pipeline consists of separate components, the final graphic that isrendered can be simply and sometimes dramatically changed by making changesto a single component in the pipeline.

Page 18: Data visualization with ggplot2

ggplot2 – a grammar of graphics for R

Inspired by Wilkinson’s “Grammar of Graphics”, Hadley Wickham (in his 2008 IowaState PhD thesis: Practical tools for exploring data and models) developed a “layeredgrammar of graphics.” This is implemented as ggplot2 in R.

library(ggplot2)

Much like Wilkinson’s original grammar, ggplot2 uses a pipeline model for its graphicsconstruction in that a plot is built in an ordered series of steps, where each stepoperates on the output of its immediate predecessor in the line. Departing from thegrammar, ggplot2 slightly mixes metaphors in that each step in the pipeline can(typically) be thought of as adding a layer to all that preceded it.

From the ggplot2 book:

"The layered grammar of graphics (Wickham 2009) builds on Wilkinson’s grammar,focussing on the primacy of layers and adapting it for embedding within R. In brief, thegrammar tells us that a statistical graphic is a mapping from data to aesthetic attributes(colour, shape, size) of geometric objects (points, lines, bars). The plot may also containstatistical transformations of the data and is drawn on a specific coordinate system.Facetting can be used to generate the same plot for different subsets of the dataset. Itis the combination of these independent components that make up a graphic."

Notationally, the components of the pipeline appear in sequence connected one to thenext via an intervening + sign, thus emphasizing each as an addition of a layer (or ofsome further processing of the plot).

Page 19: Data visualization with ggplot2

Data - South African heart disease

Consider the ‘SAheart‘ data from the package‘ElemStatLearn‘.This is a sample from a retrospective study of heart disease inmales from a high-risk region of the Western Cape, SouthAfrica.There are 462 cases and 10 variates. The first fewobervations (cases) are shown below.

sbp tobacco ldl adiposity f amhist typea obesity alcohol age chd160 12.00 5.73 23.11 Present 49 25.30 97.20 52 1144 0.01 4.41 28.61 Absent 55 28.87 2.06 63 1118 0.08 3.48 32.28 Present 52 29.14 3.81 46 0170 7.50 6.41 38.03 Present 51 31.99 24.26 58 1134 13.60 3.50 27.78 Present 60 25.99 57.34 49 1132 6.20 6.47 36.21 Present 62 30.77 14.14 45 0

For example, sbp denotes “systolic blood pressure”, sbp “low density lipoproteincholesterol”. famhist “family history of heart disease”, age “age at onset” (in years),and chd indicates whether the patient has coronary heart disease or not (a response).(see help(SAheart, package="ElemStatLearn") for details)

Page 20: Data visualization with ggplot2

Constructing a plot - the pipeline

In the grammar of graphics, a plot processes each component in turn

ggplot(data = SAheart)

First the data

Page 21: Data visualization with ggplot2

Constructing a plot - pipeline

In the grammar of graphics, a plot processes each component in turn

ggplot(data = SAheart) + aes( x = age, y = chd)

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Then the mapping of the data to plot “aesthetics”

Page 22: Data visualization with ggplot2

Constructing a plot - pipeline

In the grammar of graphics, a plot processes each component in turn

ggplot(data = SAheart) + aes( x = age, y = chd) + geom_point()

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Then the geometry.

Page 23: Data visualization with ggplot2

Constructing a plot - pipeline

In the grammar of graphics, a plot processes each component in turn

ggplot(data = SAheart) + aes( x = age, y = chd) + geom_point() + geom_smooth()

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Which can have several further steps in the pipeline

Page 24: Data visualization with ggplot2

Constructing a plot

Alternatively, in the grammar of ggplot2, a plot is also a sum of component layers.

ggplot(data = SAheart, mapping = aes(x = age, y = chd))

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The base display with mapping.

Page 25: Data visualization with ggplot2

Constructing a plot

Alternatively, in the grammar of ggplot2, a plot is also a sum of component layers.

ggplot(data = SAheart, mapping = aes(x = age, y = chd)) +geom_point()

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Here the + is adding layers.

Page 26: Data visualization with ggplot2

Constructing a plot

Alternatively, in the grammar of ggplot2, a plot is also a sum of component layers.

ggplot(data = SAheart, mapping = aes(x = age, y = chd)) +geom_point() + geom_smooth()

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Here the + is adding layers.

Page 27: Data visualization with ggplot2

Constructing a plot - separate mappings

Alternatively, we could deliberately associate only the data with the plot, forcing the mapping of thedata to aesthetics within each individual component layer:

ggplot(data = SAheart) +geom_point(mapping = aes(x = age, y = chd))

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The mapping is explicit for each layer.

Page 28: Data visualization with ggplot2

Constructing a plot - separate mappings

What would the following plot look like?

ggplot(data = SAheart) +geom_point(mapping = aes(x = age, y = chd)) +geom_smooth()

It fails . . . why?

How could it be fixed?

Cautionary note: the ggplot2 grammar mixes the two metaphors of “layers” and“pipes”.

Just because an aesthetic precedes a component in the pipeline does not mean that it isavailable for use.

Page 29: Data visualization with ggplot2

Constructing a plot - separate mappings

What would the following plot look like?

ggplot(data = SAheart) +geom_point(mapping = aes(x = age, y = chd)) +geom_smooth()

It fails . . . why?

How could it be fixed?

Cautionary note: the ggplot2 grammar mixes the two metaphors of “layers” and“pipes”.

Just because an aesthetic precedes a component in the pipeline does not mean that it isavailable for use.

Page 30: Data visualization with ggplot2

Constructing a plot - separate mappings

What would the following plot look like?

ggplot(data = SAheart) +geom_point(mapping = aes(x = age, y = chd)) +geom_smooth()

It fails . . . why?

How could it be fixed?

Cautionary note: the ggplot2 grammar mixes the two metaphors of “layers” and“pipes”.

Just because an aesthetic precedes a component in the pipeline does not mean that it isavailable for use.

Page 31: Data visualization with ggplot2

Constructing a plot - separate mappings

Solution 1: explicitly, give the mapping for each layer:

ggplot(data = SAheart) +geom_point(mapping = aes(x = age, y = chd)) +geom_smooth(mapping = aes(x = age, y = chd))

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Page 32: Data visualization with ggplot2

Constructing a plot - separate mappings

Solution 2: provide aesthetics upstream:

ggplot(data = SAheart) +geom_point(mapping = aes(x = age, y = chd)) +aes(x = age, y = chd) +geom_smooth()

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Page 33: Data visualization with ggplot2

Constructing a plot - separate mappings

ggplot(data = SAheart) +geom_point(mapping = aes(x = age, y = chd, col = famhist)) +geom_smooth(mapping = aes(x = age, y = chd))

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famhist

Absent

Present

Page 34: Data visualization with ggplot2

Constructing a plot - shared and separate mappings

ggplot(data = SAheart) + aes(group = famhist) +geom_point(mapping = aes(x = age, y = chd)) +geom_smooth(mapping = aes(x = age, y = chd))

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age

chd

Page 35: Data visualization with ggplot2

Constructing a plot - shared and separate mappings

ggplot(data = SAheart, mapping = aes(group = famhist)) +geom_point(mapping = aes(x = age, y = chd, col = famhist)) +geom_smooth(mapping = aes(x = age, y = chd))

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20 30 40 50 60

age

chd

famhist

Absent

Present

Page 36: Data visualization with ggplot2

Constructing a plot - shared and separate mappings

ggplot(data = SAheart, mapping = aes(group = famhist, col = famhist)) +geom_point(mapping = aes(x = age, y = chd)) +geom_smooth(mapping = aes(x = age, y = chd))

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age

chd

famhist

Absent

Present

Page 37: Data visualization with ggplot2

Constructing a plot

Alternatively, we could split the plot into two pieces by facetting:

ggplot(data = SAheart, mapping = aes(x = age, y = chd)) +geom_point(col="steelblue", size = 3, alpha = 0.4) +geom_smooth(method = "loess", col = "steelblue") +facet_wrap(~famhist)

Absent Present

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chd

Page 38: Data visualization with ggplot2

Components of the layered grammar

In the grammar of ggplot2, a plot is a structured combination of:

I a dataset,I a set of mappings from variates to aesthetics,I one or more layers, each composed ofI a geometric object,I a statistical transformation,I a position adjustment, andI (optionally) its own dataset and aesthetic mappingsI a scale for each aesthetic mapping,I a coordinate system,I a facetting specification

Page 39: Data visualization with ggplot2

Geometric objects

There are a variety of geometric objects that can be added to a plot

I geom_abline(), geom_hline(),geom_vline(), geom_curve(),geom_segment(), geom_step()

I geom_label(), geom_text()I geom_point(), geom_smooth(), geom_crossbar(), geom_errorbar(),

geom_errorbarh(), geom_linerange(), geom_pointrange(),I geom_rect(), geom_raster(), geom_area(), geom_ribbon(),

geom_tile(),I geom_bar(), geom_col(),I geom_dotplot(), geom_boxplot(), geom_histogram(),

geom_freqpoly(), geom_density(), geom_violin(), geom_quantile(),geom_qq()

I geom_bin2d(), geom_density2d(), geom_hex(),I geom_contour(),I geom_map(), geom_polygon()

Each of these will have their own arguments including mapping, data, stat, etcetera.

Page 40: Data visualization with ggplot2

Geometric objects - adding to plotsBeginning with a plot different geometric objects may be added. For example:

p <- ggplot(data = SAheart, mapping = aes(x = tobacco, y = sbp))p

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tobacco

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Page 41: Data visualization with ggplot2

Geometric objects - points and density

Beginning with a plot different geometric objects may be added. For example:

p + geom_point() + geom_density_2d(lwd = 1.5, col = "steelblue")

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tobacco

sbp

Page 42: Data visualization with ggplot2

Geometric objects - histogram

h <- ggplot(data = SAheart, mapping = aes(x = adiposity))h + geom_histogram(bins = 10, fill = "steelblue",

col = "black", alpha = 0.5)

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adiposity

coun

t

Note that had we tried to layer the histogram on top of p, it would have inherited from p a yaesthetic (namely y = sbp) which does not make sense for a histogram.

Page 43: Data visualization with ggplot2

Geometric objects - histogram

h + geom_histogram(mapping = aes(y = ..density..),bins = 10, fill = "steelblue",col = "black", alpha = 0.5)

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A y aesthetic that does make sense for a histogram is ..density.. which forces the scaling of thevertical axis so that the histogram has unit area.

Note that the x aesthetic was inherited from h.

Page 44: Data visualization with ggplot2

Geometric objects - density scale histogramProvided we provide a y aesthetic mapping, a histogram could therefore be added to p as well.

p + geom_histogram(mapping = aes(x = adiposity, y = ..density..),bins = 10, fill = "steelblue",col = "black", alpha = 0.5)

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Note:

I the change in vertical scale matches the histogramI the axes labels do not match the aesthetics of the histogram (though the tick marks and

values happen to)

Because this is only a grammar, it is as easy to make silly visualizations as it is silly sentences.

Page 45: Data visualization with ggplot2

Geometric objects - layering effect

The order of layering (on top of h now) matters:

h + geom_histogram(mapping = aes(y = ..density..),bins = 10, fill = "steelblue",col = "black", alpha = 0.5) +

geom_density(mapping = aes(y = ..density..),fill = "grey", alpha = 0.5)

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Note that the y aesthetic had to be repeated here . . .

Page 46: Data visualization with ggplot2

Geometric objects - layering effect

Switch the order of addition:

h + geom_density(mapping = aes(y = ..density..),fill = "grey", alpha = 0.5) +

geom_histogram(mapping = aes(y = ..density..),bins = 10, fill = "steelblue",col = "black", alpha = 0.5)

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Note that the aesthetics need to be repeated here . . .

Page 47: Data visualization with ggplot2

Geometric objects - bar charts

ggplot(SAheart) + geom_bar(mapping = aes(x = factor(chd), fill = famhist)) +labs(x = "chd", title ="South African heart disease") + coord_flip()

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count

chd

famhist

Absent

Present

South African heart disease

Which makes you wonder how the data were collected.

Page 48: Data visualization with ggplot2

Geometric objects

A different scatterplot

p2 <- ggplot(data = SAheart, mapping = aes(x = sqrt(age), y = sbp))p2 + geom_point()

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sqrt(age)

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Page 49: Data visualization with ggplot2

Geometric objects

Note that each geometric object has its own arguments and properties that canbe set.

p2 + geom_point(col = "red", size = 3, pch = 21,fill = "yellow", alpha = 0.5) +

geom_smooth(method = "loess", col = "steelblue",lty = 2, lwd = 1.5, alpha = 0.2)

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sqrt(age)

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Page 50: Data visualization with ggplot2

Geometric objects

Aesthetics apply to every point individually.

p2 + geom_point(mapping = aes(size = obesity), fill = "steelblue",col = "black", pch = 21, alpha = 0.4) +

geom_smooth(method = "loess", col = "yellow",lty = 2, lwd = 1.5, alpha = 0.2)

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sqrt(age)

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obesity

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Page 51: Data visualization with ggplot2

Geometric objects

Aesthetics apply to every point individually.

p2 + geom_point(mapping = aes(size = obesity, fill = tobacco),col = "black", pch = 21, alpha = 0.4) +

geom_smooth(method = "loess", col = "yellow",lty = 2, lwd = 1.5, alpha = 0.2)

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sqrt(age)

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Page 52: Data visualization with ggplot2

Geometric objects

The data may change with each layer

heartAttack <- SAheart[, "chd"] == 1hAplot <- p2 + geom_point(data = SAheart[heartAttack, ],

mapping = aes(size = obesity), alpha = 0.4,col = "black", pch = 21, fill = "steelblue")

hAplot

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Page 53: Data visualization with ggplot2

Geometric objects

The data may change with each layerqboth <- hAplot +

geom_point(data = SAheart[!heartAttack, ], # Not heartAttackmapping = aes(size = obesity), alpha = 0.4,col = "black", pch = 21, fill = "firebrick")

qboth

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Page 54: Data visualization with ggplot2

Geometric objects

The data may change with each layerqboth +

geom_smooth(data = SAheart[heartAttack, ],method = "loess", col = "steelblue", alpha = 0.4) +

geom_smooth(data = SAheart[!heartAttack, ],method = "loess", col = "firebrick", alpha = 0.4)

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Page 55: Data visualization with ggplot2

Geometric objects

The data may change with each layer

qboth + geom_smooth(method = "loess")

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Note smooth is using all of the data here.

Page 56: Data visualization with ggplot2

Geometric objects

The data may change with each layer

qboth + geom_smooth(mapping = aes(color = factor(chd)), method = "loess")

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factor(chd)

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Here the smooth is separate for each colour given by chd as factor. Note ggplot’s default colours.

Page 57: Data visualization with ggplot2

Geometric objectsThe colours can be coordinated by relying on the original data and using chd asa factor:

p2 + geom_point(mapping = aes(size = obesity, fill = factor(chd)),col = "black", pch = 21, alpha = 0.4) +

geom_smooth(mapping = aes(col = factor(chd)),method = "loess", lwd = 1.5, alpha = 0.2)

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Here the smooth is separate for each colour given by chd as factor.

Page 58: Data visualization with ggplot2

ScalesA map from the domain of data values to the range of some aesthetic(e.g. colour, size, axis ranges, . . . ).

p2 + geom_point(mapping = aes(size = obesity, fill = factor(chd)),col = "black", pch = 21, alpha = 0.4) +

geom_smooth(mapping = aes(col = factor(chd)),method = "loess", lwd = 1.5, alpha = 0.2) +

scale_fill_manual("chd", values=c("steelblue", "firebrick"))+scale_color_manual("chd", values=c("steelblue", "firebrick"))

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. . . gets your own “scale” values for colour and for fill.

Page 59: Data visualization with ggplot2

ScalesA map from the domain of data values to the range of some aesthetic(e.g. colour, size, axis ranges, . . . ).p2 + geom_point(mapping = aes(size = obesity, fill = factor(chd)),

col = "black", pch = 21, alpha = 0.4) +geom_smooth(mapping = aes(col = factor(chd)),

method = "loess", lwd = 1.5, alpha = 0.2) +scale_fill_manual("chd", values=c("steelblue", "firebrick"))+scale_color_manual("chd", values=c("steelblue", "firebrick")) +scale_size("obesity", breaks = seq(0,100,5))

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sqrt(age)

sbp

chd

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obesity

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. . . additonally gets your own “scale” values for point size (which is proportional to area).

Page 60: Data visualization with ggplot2

ScalesA map from the domain of data values to the range of some aesthetic(e.g. colour, size, axis ranges, . . . ).p2 + geom_point(mapping = aes(size = obesity, fill = factor(chd)),

col = "black", pch = 21, alpha = 0.4) +geom_smooth(mapping = aes(col = factor(chd)),

method = "loess", lwd = 1.5, alpha = 0.2) +scale_fill_manual("chd", values=c("steelblue", "firebrick"))+scale_color_manual("chd", values=c("steelblue", "firebrick")) +scale_size_area("obesity", breaks = seq(0,100,5))

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sqrt(age)

sbp

chd

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obesity

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. . . Now a zero value gives a zero area.

Page 61: Data visualization with ggplot2

Position scales

There are two position scales: horizontal (x) and vertical (y).

p + geom_point(alpha = 0.5, size = 1) +scale_x_continuous(limits = c(0,40)) +scale_y_continuous(limits = c(75,225))

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tobacco

sbp

Page 62: Data visualization with ggplot2

Position scales

There are two position scales: horizontal (x) and vertical (y).

p + geom_point(alpha = 0.5, size = 1) + xlim(0,40) + ylim(75,225)

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tobacco

sbp

Page 63: Data visualization with ggplot2

Position scales

There are two position scales: horizontal (x) and vertical (y).

p + aes(x = tobacco + 1) + geom_point(alpha = 0.5, size = 1) + scale_x_log10()

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1 10

tobacco + 1

sbp

Page 64: Data visualization with ggplot2

Coordinates

This is the coordinate system in which the positions are to be plotted. We havealready seen coord_flip() which swaps the x and y axes. There are manyothers; the aspect ratio, for example, is fixed using coord_fixed():

ggplot(SAheart, aes(obesity, adiposity)) + geom_point() + coord_fixed(ratio = 1)

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obesity

adip

osity

Here the aspect ratio is fixed so that one unit change in the x direction produces only one unit change in the ydirection.

Page 65: Data visualization with ggplot2

Coordinates

This is the coordinate system in which the positions are to be plotted. We havealready seen coord_flip() which swaps the x and y axes. There are manyothers; the aspect ratio, for example, is fixed using coord_fixed():

ggplot(SAheart, aes(obesity, adiposity)) + geom_point() + coord_fixed(ratio = 0.5)

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20 30 40

obesity

adip

osity

Here the aspect ratio is fixed so that one unit change in the x direction produces only half a unit change in the ydirection.

Page 66: Data visualization with ggplot2

CoordinatesOne coordinate system that is used is called coord_polar() which, unlike itsname suggests, does not calculate a polar coordinate transformation but rathertreats one of the two positions as defining an angle and the other as defining theradius.ggplot(SAheart, aes(obesity, adiposity)) + geom_point() + geom_smooth() +

coord_polar(theta = "x")

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obesity

adip

osity

which, arguably, is a pretty weird plot but does demonstrate how coordinate systems are abstractedout as part of the grammar. Consequently coord_polar() should be used with considerable caution

Page 67: Data visualization with ggplot2

Coordinates

Arguably overly complicated, one use of coord_polar() is to construct a piechart.

This is just a bar chart expressed using coord_polar(). First the bar chart

barChart <- ggplot(SAheart, aes(x = factor(1), fill = famhist)) +geom_bar(width = 1) + xlab("")

barChart

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Page 68: Data visualization with ggplot2

Coordinates

Arguably overly complicated, one use of coord_polar() is to construct a piechart.

This is just a bar chart expressed using coord_polar(). Now the pie chart

barChart + coord_polar(theta = "y")

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count

famhist

Absent

Present

Page 69: Data visualization with ggplot2

Coordinates

What’s going on here?

barChart + coord_polar(theta = "x")

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unt famhist

Absent

Present

Perhaps a little “too clever by half”?

. . . Be careful with coord_polar(); it’s easy to have it make avery difficult to interpret plot.

Page 70: Data visualization with ggplot2

Coordinates

What’s going on here?

barChart + coord_polar(theta = "x")

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400co

unt famhist

Absent

Present

Perhaps a little “too clever by half”? . . . Be careful with coord_polar(); it’s easy to have it make avery difficult to interpret plot.

Page 71: Data visualization with ggplot2

Positions

A bar chart with two variates. Default position is “stack”

barChart2 <- ggplot(SAheart, aes(x = factor(chd), fill = famhist)) +geom_bar(position="stack") + xlab("chd")

barChart2

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coun

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Absent

Present

which stacks the two colours in the same bar.

Page 72: Data visualization with ggplot2

Positions

What should this look like?

barChart2 + coord_polar(theta = "y")

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count

chd

famhist

Absent

Present

Thickness is the bar width, each ring is chd, arc length is count. Again, coord_polar() can beconfusing.

Page 73: Data visualization with ggplot2

Positions

What should this look like?

barChart2 + coord_polar(theta = "y")

0

100200

300

0

1

count

chd

famhist

Absent

Present

Thickness is the bar width, each ring is chd, arc length is count. Again, coord_polar() can beconfusing.

Page 74: Data visualization with ggplot2

Positions

What should this look like?

barChart2 + coord_polar(theta = "x")

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100

200

300

chd

coun

t famhist

Absent

Present

Angle is the now the bar width, each wedge is chd, thickness is count. Again, coord_polar() canbe confusing.

Page 75: Data visualization with ggplot2

Positions

What should this look like?

barChart2 + coord_polar(theta = "x")

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100

200

300

chd

coun

t famhist

Absent

Present

Angle is the now the bar width, each wedge is chd, thickness is count. Again, coord_polar() canbe confusing.

Page 76: Data visualization with ggplot2

Positions

To place the colours beside each other rather than stack them, change theposition to “dodge”

barChart3 <- ggplot(SAheart, aes(x = factor(chd), fill = famhist)) +geom_bar(position="dodge") + xlab("chd")

barChart3

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0 1

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coun

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Absent

Present

which stacks the two colours in the same bar.

Page 77: Data visualization with ggplot2

Positions

What should this look like?

barChart3 + coord_polar(theta = "y")

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count

chd

famhist

Absent

Present

Explain.

Page 78: Data visualization with ggplot2

Positions

What should this look like?

barChart3 + coord_polar(theta = "y")

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1

count

chd

famhist

Absent

Present

Explain.

Page 79: Data visualization with ggplot2

Positions

Now what should this look like?

barChart3 + coord_polar(theta = "x")

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chd

coun

t famhist

Absent

Present

Explain.

Page 80: Data visualization with ggplot2

Positions

Now what should this look like?

barChart3 + coord_polar(theta = "x")

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chd

coun

t famhist

Absent

Present

Explain.

Page 81: Data visualization with ggplot2

Positions and facets

A bar chart with two variates. Use facets

barChart4 <- ggplot(SAheart, aes(x = factor(chd), fill = famhist)) +geom_bar(position = "stack") + xlab("chd") + facet_wrap(~chd)

barChart4

0 1

0 1 0 1

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coun

t famhist

Absent

Present

Exercise: What should barChart4 + coord_polar(theta = "y") look like? What aboutbarChart4 + coord_polar(theta = "x")?

Page 82: Data visualization with ggplot2

Positions and facets

A bar chart with two variates. Use facets

barChart5 <- ggplot(SAheart, aes(x = factor(chd), fill = famhist)) +geom_bar(position = "dodge") + xlab("chd") + facet_wrap(~chd)

barChart5

0 1

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t famhist

Absent

Present

Exercise: What should barChart5 + coord_polar(theta = "y") look like? What aboutbarChart5 + coord_polar(theta = "x")?

Page 83: Data visualization with ggplot2

Positions and facets

A bar chart with two variates. Use both variates as facets

barChart6 <- ggplot(SAheart, aes(x = factor(chd), fill = famhist)) +geom_bar(position = "dodge") + xlab("chd") + facet_wrap(famhist~chd)

barChart6

Present

0

Present

1

Absent

0

Absent

1

0 1 0 1

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coun

t famhist

Absent

Present

Exercise: What should barChart6 + coord_polar(theta = "y") look like?

What about barChart6 + coord_polar(theta = "x")?

Page 84: Data visualization with ggplot2

Statistical transformations - stat

These transformations often summarize data in some manner (e.g. by counting,by averaging, etc.). Some statistical functions operate “behind the scenes”:

I stat_bin() in geom_bar(), geom_freqpoly(), geom_histogram()I stat_bin2d() in geom_bin2d()I stat_bindot() in geom_dotplot()I stat_binhex() in geom_hex()I stat_boxplot() in geom_boxplot()I stat_contour() in geom_contour()I stat_quantile() in geom_quantile()I stat_smooth() in geom_smooth()I stat_sum() in geom_count()

but may also be called directly (outside the geom_)

Page 85: Data visualization with ggplot2

Statistical transformations - stat

Other stats have no corresponding geom_ function:

I stat_ecdf(): compute a empirical cumulative distribution plot.I stat_function(): compute y values from a function of x values.I stat_summary(): summarise y values at distinct x values.I stat_summary2d(), stat_summary_hex(): summarise binned values.I stat_qq(): perform calculations for a quantile-quantile plot.I stat_spoke(): convert angle and radius to position.I stat_unique(): remove duplicated rows.

Page 86: Data visualization with ggplot2

Statistical transformations - example

Adding some statistical summary information to the scatterplot p2

p2 + geom_point(mapping = aes(size = obesity, fill = factor(chd)),col = "black", pch = 21, alpha = 0.4) +

stat_summary(geom = "point", fun.y = "median",col = "yellow", size = 2, pch = 19)

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factor(chd)

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Adds the median of the ys at each observed x.

Page 87: Data visualization with ggplot2

Statistical transformations - exampleAlternatively use stat = "summary" in geom_point(). Also add connectinglines to the scatterplot p2

p2 + geom_point(mapping = aes(size = obesity, fill = factor(chd)),col = "black", pch = 21, alpha = 0.4) +

geom_point(stat = "summary", fun.y = "median",col = "yellow", size = 2, pch = 19) +

stat_summary(geom = "line", fun.y = "median",col = "yellow", size = 1, pch = 19)

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Adds the median of the ys at each observed x.

Page 88: Data visualization with ggplot2

Miscellaneous

I Can also facet in a matrix grid using facet_grid()I position can also be “jitter” (best for scatterplots)I there is a function called theme() which is how the appearance of all

non-data plot components are changed.I E.g. it is possible to turn that grey background grid off via theme() (though

it seems a lot of work)I there is a function qplot() or quickplot() which is more like a base

graphics plot() call and so may be easier to use than following theggplot2 grammar via ggplot() + ...

I ggsave() will save the most recent ggplot.

Page 89: Data visualization with ggplot2

Miscellaneous

Note: to plot time series (objects of class ts) you need the ggfortify package andthen use autoplot().

library(ggfortify)autoplot(sunspots)

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1750 1800 1850 1900 1950

Similarly, library(ggmap) for raster maps from get_map()