Preliminaries
Make sure to move to the proper working directory and that the file NYC_Sub_borough_Area.dbf is in that directory.
Also, activate the tidyverse and foreign packages using the library
command (the tidyverse package includes ggplot2):
library(tidyverse)
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library(foreign)
A quick introduction to ggplot
We will be using the commands in the ggplot2 package for the descriptive statistics plots. There are many options to create nice looking graphs in R, including the functionality in base R, but we chose ggplot2 for its clean logic and its implementation of a grammar for graphics.
An in-depth introduction to ggplot is beyond the current scope, but a quick overview can be found in the Data Visualization chapter of Wickham and Grolemund’s R for Data Science book, and full details are covered in Wickham’s ggplot2: elegant graphics for data analysis (2nd Edition) (Springer Verlag, 2016).
The logic behind ggplot is an implementation of Wilkinson’s grammar for graphics, using the concept of layers. These are the components that make up a plot, such as a data set, aesthetic mappings (variables for different aspects of the graph, such as the x and y-axes, colors, shapes, etc.), statistical transformations, a geometric object and position adjustments. Several layers can be drawn on top of each other, providing the ability to create incredibly complex graphs.
For now, the main parts to concentrate on are the data set and the aesthetics, or aes
. The latter are typically (at least) the variables to be plotted. These are usually declared in the main ggplot command, e.g., ggplot(dataset,aes(x=var1,y=var2))
and apply to all the following layers. However, they can also be specified for each layer individually.
Next follow one or more geometric objects, geom_*
and various adjustments, added to the first command by means of a plus sign.
The terminology may seem a little unfamiliar at first, but as long as you remember that aes
are the variables and the geom_*
are the plot types, you will be on your way.
Fundamentals - A Scatter Plot
The scatter plot shows the relationship between two variables as points with cartesian (x, y) coordinates matching the value for each variable, one on the x-axis, the other on the y-axis.
Reading in the data
First, we use read.dbf
from the foreign package to read the data from NYC_Sub_borough_Area.dbf into a data frame nyc.data.
nyc.data <- read.dbf("NYC_Sub_borough_Area.dbf")
Next, we turn this into a tibble (not absolutely necessary, but useful) using as_tibble
and assign it back to the same object.
nyc.data <- as_tibble(nyc.data)
We can now print out the contents (there are 55 observations and 34 variables).
nyc.data
We check the variables using the names
command.
names(nyc.data)
[1] "bor_subb" "name" "code" "subborough"
[5] "forhis06" "forhis07" "forhis08" "forhis09"
[9] "forwh06" "forwh07" "forwh08" "forwh09"
[13] "hhsiz1990" "hhsiz00" "hhsiz02" "hhsiz05"
[17] "hhsiz08" "kids2000" "kids2005" "kids2006"
[21] "kids2007" "kids2008" "kids2009" "rent2002"
[25] "rent2005" "rent2008" "rentpct02" "rentpct05"
[29] "rentpct08" "pubast90" "pubast00" "yrhom02"
[33] "yrhom05" "yrhom08"
We will start by using the variables kids2000 (percentage households with children under 18 in 2000) and pubast00 (percentage households receiving public assistance in 2000). Before we move to the graphs, we check out the characteristics of their distribution using the familiar summary
command. Remember, to pass a variable to summary
you need to identify it with its data frame, either using the [[ ]] notation, or the $ notation. Using the latter yields:
summary(nyc.data$kids2000)
Min. 1st Qu. Median Mean 3rd Qu. Max.
8.382 30.301 38.228 36.040 42.773 55.367
summary(nyc.data$pubast00)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.8981 3.3860 6.8781 8.4372 11.5369 23.4318
Data - the data frame
The first aspect that needs to be set for any graph is which data frame contains the variables to be plotted. This is passed as the first argument to the ggplot
command, as ggplot(data=dataframe, ... )
, ignoring all other arguments for now (by itself, this command will not do anything). For simplicity sake, the argument data
is often not mentioned explicitly, but for now we will spell out everything in full. In our example, the argument would be data=nyc.data
.
Aesthetics - the variables
The aesthetics, or aes
are the basic visual ways in which values that correspond to given variables are represented in a two-dimensional graph (on the screen or on paper). These include the position according to the x and y axis, a size, a color, and a shape. All these elements can be associated with a variable, or set to a constant.
The aesthetics are set by passing the required arguments to the expression aes( )
in the parentheses (it is easy to forget this initially). For example, for our scatter plot, we will set the x-axis to kids2000 and the y-axis to pubast00, as in aes(x = kids2000,y = pubast00)
. Note that you don’t need to put parentheses around the variable names (that is a characteristics of all functions in the tidyverse, as we saw for the data frame manipulation).
For now, we will just use these two aspects of the graph. We will return to color, size and shape later.
Geom - the type of graph
So far, we have just set up the main parameters for a graph. These are passed as arguments to the ggplot
command. Think of them as the rules that apply to all the layers in the graph. The graph itself is constructed by adding different layers, each corresponding to a geometric object or to other aspects of the graph, such as labels, text annotations, styles, etc.
Each type of geometric object is given by a geom_xxx
command. Each of these geom functions has built-in options to compute statistics, and, if needed, transformations, to be able to map the values in the variables to a geometric object in the graph.
For the scatter plot, the geometric object is a point, corresponding to the location for the x and y variable, represented by the geom_point
geom.
A basic scatter plot
We are now ready to construct our first graph, a bare bones scatter plot. In ggplot the different layers are added together by means of a + symbol. For the scatter plot, we have two elements: the main ggplot
command that specifies the data frame and variables for the x and y axes (the aes
); and the command to specify geom_point
. Make sure to have the + sign at the end of the line (and not on the next line), and don’t forget the parentheses following geom_point( )
. If all goes well, you will create the default scatter plot.
ggplot(data=nyc.data,aes(x = kids2000,y = pubast00)) +
geom_point()
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)
Color
While the scatter plot in essence depicts two variables, it is often useful to distinguish between groups of observations (in spatial lingo, we will call this spatial heterogeneity). There are several ways to implement this in ggplot, but first we will illustrate the use of color
(we will consider shape
and size
next).
Color is an aesthetic. It can be set to a constant, or matched with a variable. In the case of a constant, we simply set it to an accepted color value, such as in color = "red"
. Typically, it is specified as part of the geom
to which it pertains.
Color as a constant
Things can get a bit confusing, since the constant color can be specified as an option of the geom, without specifying the aes
. For example, setting geom_point(color="red")
will make all the points red.
ggplot(data=nyc.data,aes(x=kids2000,y=pubast00)) +
geom_point(color="red")
![](data:image/png;base64,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)
Note the subtle difference in thinking with setting aes(color="red")
for geom_point
. The result is the same, but in essence now we don’t consider the color to be an option, but one of the aesthetics assigned to a constant value instead of to a variable. Remember to use the quotes around red. Otherwise, red
is considered to be a variable, and since there is no such variable in our data frame, it will generate an error.
ggplot(data=nyc.data,aes(x = kids2000,y = pubast00)) +
geom_point(aes(color="red"))
![](data:image/png;base64,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)
Notice the difference in that now a legend is added with the value for the color (later, we will see how to customize the heading for the legend). This highlights how color
is an aesthetic, in this case mapped to a constant value.
Color as a variable
We can now use the same principle to tie the value of color
to a variable instead of a constant. For example, say we want to distinguish between the points corresponding to sub-boroughs in the Bronx and Manhatten and those in the rest of the city. We assign the aesthetic color
to the variable manbronx (note, no quotes since it is a variable name that is in the data frame).
ggplot(data=nyc.data,aes(x = kids2000, y = pubast00)) +
geom_point(aes(color=manbronx))
![](data:image/png;base64,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)
Now, the legend heading is manbronx (the variable we specified) and the value for the two colors is given.
Alternatively, we could also have specified the color
aesthetic in the main ggplot
command, by means of ggplot(data=nyc.data,aes(x = kids2000, y = pubast00, color=manbronx))
.
ggplot(data=nyc.data,aes(x = kids2000, y = pubast00, color=manbronx)) +
geom_point()
![](data:image/png;base64,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)
The result is the same, but there is an important difference. By specifying the color aesthetic in the main command, we specify it for all following layers. In our simple example, there is only one layer, so it doesn’t really make a difference, but typically it makes more sense to specify aesthetics other than x and y specific to each geom. As we will see later, a graph is made up of several geoms, each potentially with their own aesthetics.
Saving a Graph
Writing a graph to a file
In our discussion so far, the graphs are drawn to the screen and then disappear. To save a ggplot graph to a file for publication, there are two ways to proceed. One is the classic R approach, in which first a device is opened, e.g., by means of a pdf
command for a pdf file (each type of file has its own command). Next, the plot commands are entered, and finally the device is turned off by means of dev.off()
.
Note that it is always a good idea to specify the dimension of the graph (in inches). If not, the results can be unexpected.
For example, to save our scatter plot in a pdf file scatter1.pdf with a height and width of 3 inches, we first set pdf("scatter1.pdf",height=3,width=3)
. Next we enter our usual ggplot commands. Note that nothing will appear on the screen. Finally, we turn the “device” (i.e., the file) off by means of dev.off()
.
pdf("scatter1.pdf",height=3,width=3)
g + geom_point(aes(color=manbronx))
dev.off()
null device
1
`The pdf file will be added to your working directory.
Saving with ggsave
In addition to the standard R approach, ggplot also has the ggsave
command, which does the same thing. It requires the name for the output file, but derives the proper format from the file extension. For example, an output file with a png file extension will create a png file, and similarly for pdf, etc.
The second argument specifies the plot. It is optional, and when not specified, the last plot is saved. Again, it is a good idea to specify the width
and height
(in inches). In addition, for raster files, the dots per inch (dpi
) can be set as well. The default is 300, which is fine for most use cases, but for high resolution graphs, one can set the dpi to 600.
For example, we assign our scatter plot to scat1, and then save it using ggsave("scatter2.png",scat1,height=3,width=3,dpi=600)
:
scat1 <- g + geom_point(aes(color=manbronx))
ggsave("scatter2.png",scat1,height=3,width=3,dpi=600)
The file will be added to the working directory.
To see the plot on your screen, simply type its name (scat1).
scat1
![](data:image/png;base64,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)
Saving an R object
Finally, yet another approach to keep a plot object is to assign the plot commands to a variable and then save this to disk, using the standard R command saveRDS
. This can later be brought back into an R session using readRDS
. To save the plot, we need to specify a file name with an .rds file extension, for example, scatter1.rds.
saveRDS(scat1,"scatter1.rds")
At some later point (or in a different R session), we can then read the object with readRDS
and plot it. Note that we do not need to assign it to the same variable name as before. For example, here we call the graph object newplot.
newplot <- readRDS("scatter1.rds")
newplot
![](data:image/png;base64,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)
Shape
A further aesthetic is the shape of the geometric object. R has a number of pre-defined shapes with (to the novice) obscure codes, assigned by the pch
command.
Again, we can assign the aesthetic shape to either a constant (one of the codes) or to a variable.
Setting the shape to a constant
Similar to how we set the color above, we can add an option shape=17
to the geom_point
command. This will generate a scatter plot with the points represented as triangles.
g + geom_point(shape=12)
![](data:image/png;base64,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)
Setting the shape to a variable
Again, similar to how we operated above for the color option, we can assign the aesthetic shape to a variable. However, unlike what works for a constant, we cannot just specify shape=manbronx
for example. Instead, we need to explicitly enclose this as an option to the aesthetic, as aes(shape=manbronx)
. The result yields a scatter plot with dots for Rest and triangles for Select, with a legend showing how the shapes are assigned to different values of the variable manbronx.
g + geom_point(aes(shape=manbronx))
![](data:image/png;base64,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)
Now, we can get a bit fancier and assign both color and shape to manbronx.
g + geom_point(aes(color=manbronx, shape=manbronx))
![](data:image/png;base64,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)
Size
As before, we can assign the size aesthetic to a constant or to a variable.
Setting size to a constant
We may decide that the default size of the points is not appropriate for our purposes, and we can set it as an option to a different value (a multiple of the default). For example, to make the points three times as large, we set size=3
as an option to geom_point
.
g + geom_point(aes(color=manbronx),size=3)
![](data:image/png;base64,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)
Setting size to a variable
We can also specify the size as an aesthetic (i.e., in the aes
specification) to vary with the values of a variable. However, this does not always work as expected. For example, if we set size = manbronx
, we get a warning that Using size for a discrete varible is not advised, as below.
g + geom_point(aes(color=manbronx,size=manbronx))
![](data:image/png;base64,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)
There are other ways to set the size for specific values of a discrete variable, but that’s beyond our current scope.
A bubble plot
When we set the size
aesthetic to a continuous variable, we can visualize the interaction among three variables, in a so-called bubble plot. For example, with color=manbronx
, as before, and now size=hhsize00
(median household size in 2000), we obtain the following bubble plot.
g + geom_point(aes(color=manbronx,size=hhsiz00))
![](data:image/png;base64,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)
As is no surprise, the size of the circles grows roughly with the percentage households with kids, which is to be expected.
Smoothing the Scatter Plot
Showing all the points in a scatter plot is fine, but we are typically interested in detecting broad patterns in the data. To that effect, we smooth the data points by fitting a curve to them.
In ggplot, this is implemented through the geom_smooth
command. There are two main methods (other custom methods can be added), i.e., a linear fit and a local regression or loess fit. The latter follows local changes in the association between x and y more closely. We consider each in turn.
Linear fit
A linear fit is obtained by means of the method="lm"
(note the quotes around lm). This is a classical least squares fit. However, this is not the default. If no method is specified for geom_smooth
, the loess
method will be used.
Also, by default, an error band is shown in gray corresponding to the standard error of the fit (a wider band means less precise prediction). We use the default setting for geom_point
and add (+) another layer with `geom_smooth(method=“lm”).
g + geom_point() +
geom_smooth(method="lm")
![](data:image/png;base64,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)
We can always change the default settings by specifying some options explicitly. For example, to change the color of the line to “red” and to turn off the error band, we use geom_smooth(method="lm",color="red",se=FALSE)
(don’t forget the quotes around red).
g + geom_point() +
geom_smooth(method="lm",color="red",se=FALSE)
![](data:image/png;base64,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)
Subplots
In the same way as we assigned a color aesthetic to the points, we can also assign a color aesthetic to the linear fit. This will result in a separate fit for each of the categories, with a separate color for each. For example, we set aes(color=manbronx)
in both the geom_point
and geom_smooth
layer. This yields not only different colors for the points, but also for the corresponding linear fits: one fit for each subgroup in the data.
g + geom_point(aes(color=manbronx)) +
geom_smooth(aes(color=manbronx),method="lm",se=FALSE)
![](data:image/png;base64,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)
Loess fit
Finally, the local regression fit, which is the default. As a result, we don’t need to specify any options in the geom_smooth
command (but don’t forget the parentheses).
g + geom_point() +
geom_smooth()
![](data:image/png;base64,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)
Again, we can use the options and aesthetics to customize the graph. For example, using the loess
fit with different colors for the two subsets of the data (and without the standard error) yields:
g + geom_point(aes(color=manbronx)) +
geom_smooth(aes(color=manbronx),se=FALSE)
![](data:image/png;base64,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)
Extra - setting the bandwidth for the loess smooth
As in any local regression method, an important parameter is how much of the data is used in the local fit, the so-called span
. This is typically set to 2/3 of the data by default. A narrower span will yield a spikier curve that emphasizes local changes.
For example, we can illustrate the difference between the default and a smoother with a span = 0.4
and one with a span=0.9
. We turn off the confidence interval by setting se = FALSE
.
g + geom_point() +
geom_smooth(se=FALSE) +
geom_smooth(color="red",span=0.4,se=FALSE) +
geom_smooth(color="green",span=0.9,se=FALSE)
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)
This also highlights how a graph is constructed by adding layers. You can change the order in which the layers are drawn by changing their position in the command. For example, to have the default curve on top, we add it as the last layer.
g + geom_point() +
geom_smooth(color="red",span=0.4,se=FALSE) +
geom_smooth(color="green",span=0.9,se=FALSE) +
geom_smooth(se=FALSE)
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)
---
title: "Statistical Graphs (1)"
author: "Luc Anselin"
date: "10/26/2018"
output: html_notebook
---

## Preliminaries

Make sure to move to the proper working directory and that the file 
**NYC_Sub_borough_Area.dbf** is in that directory.

Also, activate the **tidyverse** and **foreign** packages using the `library` command
(the **tidyverse** package includes **ggplot2**):

```{r}
library(tidyverse)
library(foreign)
```

## A quick introduction to **ggplot** 
We will be using the commands in the **ggplot2** package for the descriptive statistics plots. There are many options to create nice looking graphs in R, including the functionality in base R, but we chose **ggplot2** for its clean logic and its implementation of a grammar for graphics.^[Note that, strictly speaking, the package is **ggplot2**, i.e., the second iteration of the **ggplot** package, but the commands use **ggplot**. From now on, I will use **ggplot** to refer to both.]

An in-depth introduction to **ggplot** is beyond the current scope, but a quick overview
can be found in the [Data Visualization](http://r4ds.had.co.nz/data-visualisation.html) chapter of Wickham and Grolemund's *R for Data Science* book, and full details
are covered in Wickham's *ggplot2: elegant graphics for data analysis (2nd Edition)* (Springer Verlag, 2016).

The logic behind **ggplot** is an implementation of Wilkinson's *grammar for graphics*,
using the concept of *layers*. These are the components that make up a plot, such as a *data set*, *aesthetic mappings* (variables for different aspects of the graph, such
as the x and y-axes, colors, shapes, etc.), *statistical transformations*, a
*geometric object* and position adjustments. Several layers can be drawn on top of each other, providing the ability to create incredibly complex graphs.

For now, the main parts to concentrate on are the data set and the aesthetics,
or `aes`. The latter are typically (at least) the variables to be plotted. These
are usually declared in the main **ggplot** command, e.g., `ggplot(dataset,aes(x=var1,y=var2))` and apply to all the following layers. However,
they can also be specified for each layer individually.

Next follow one or more geometric objects, `geom_*` and various adjustments, 
added to the first command by means of a plus sign.

The terminology may seem a little unfamiliar at first, but as long as you remember that
`aes` are the variables and the `geom_*` are the plot types, you will be on your way.

## Fundamentals - A Scatter Plot

The scatter plot shows the relationship between two variables as points with cartesian 
(x, y) coordinates matching the value for each variable, one on the x-axis, the
other on the y-axis. 

### Reading in the data

First, we use `read.dbf` from the **foreign** package to read the data 
from **NYC_Sub_borough_Area.dbf** into a data frame **nyc.data**.

```{r}
nyc.data <- read.dbf("NYC_Sub_borough_Area.dbf")
```

Next, we turn this into a tibble (not absolutely necessary, but useful) using
`as_tibble` and assign it back to the same object.

```{r}
nyc.data <- as_tibble(nyc.data)
```

We can now print out the contents (there are 55 observations and 34 variables).

```{r}
nyc.data
```

We check the variables using the `names` command.

```{r}
names(nyc.data)
```

We will start by using the variables **kids2000** (percentage households with children under 18 in 2000) and
**pubast00** (percentage households receiving public assistance in 2000). Before we move to the 
graphs, we check out the characteristics of their distribution using the familiar `summary` command.
Remember, to pass a variable to `summary` you need to identify it with its data frame, either using
the [[ ]] notation, or the $ notation. Using the latter yields:

```{r}
summary(nyc.data$kids2000)
```

```{r}
summary(nyc.data$pubast00)
```

### Data - the data frame

The first aspect that needs to be set for any graph is which data frame contains
the variables to be plotted. This is passed as the first argument to the `ggplot`
command, as `ggplot(data=dataframe, ... )`, ignoring all other arguments for now
(by itself, this command will not do anything). For simplicity sake, the argument
`data` is often not mentioned explicitly, but for now we will spell out everything
in full. In our example, the argument would be `data=nyc.data`.


### Aesthetics - the variables

The aesthetics, or `aes` are the basic visual ways in which values that correspond to
given variables are represented in a two-dimensional graph (on the screen or on paper).
These include the position according to the x and y axis, a size, a color, and a shape.
All these elements can be associated with a variable, or set to a constant.

The aesthetics are set by passing the required arguments to the expression
`aes(  )` in the parentheses (it is easy to forget this initially). For example,
for our scatter plot, we will set the x-axis to **kids2000** and the y-axis
to **pubast00**, as in `aes(x = kids2000,y = pubast00)`. Note that you don't need to
put parentheses around the variable names (that is a characteristics of all functions
in the tidyverse, as we saw for the data frame manipulation).

For now, we will just use these two aspects of the graph. We will return to color,
size and shape later.

### Geom - the type of graph

So far, we have just set up the main parameters for a graph. These are passed
as arguments to the `ggplot` command. Think of them as the rules that apply to all
the layers in the graph. The graph itself is constructed by adding different layers,
each corresponding to a geometric object or to other aspects of the graph, such
as labels, text annotations, styles, etc.

Each type of geometric object is given by a `geom_xxx` command. Each of these
geom functions has built-in options to compute statistics, and, if needed,
transformations, to be able to map the values in the variables to a geometric
object in the graph.

For the scatter plot, the geometric object is a point, corresponding to the
location for the x and y variable, represented by the `geom_point` geom.

### A basic scatter plot

We are now ready to construct our first graph, a bare bones scatter plot. In
**ggplot** the different layers are added together by means of a + symbol.
For the scatter plot, we have two elements: the main `ggplot` command that
specifies the data frame and variables for the x and y axes (the `aes`);
and the command to specify `geom_point`. Make sure to have the + sign at the
end of the line (and not on the next line), and don't forget the parentheses
following `geom_point( )`. If all goes well, you will create the default 
scatter plot.

```{r}
ggplot(data=nyc.data,aes(x = kids2000,y = pubast00)) +
  geom_point()
```

#### Sidebar 1 -- Creating a categorical variable

Before we move on, we will create an additional variable that will allow us to
illustrate some further features of the graph.

We will create a separate category for the sub-boroughs in Manhattan and the Bronx. Normally,
we would do this as a graphical selection. However, as it turns out, the sub-boroughs in Manhattan have a **code** from 301 to 310, and the sub-boroughs
in the Bronx have a **code** from 101 to 110. 

We will proceed by using the `mutate` command to create a new variable **manbronx** that matches this selection. 
We also use the `if_else` command from **dplyr** to create values for the new variable of **Select** when the condition is true, and **Rest** when the condition is false. The condition checks whether the values for **code** are between 300 and 311 (using the symbol `&` for the logical **and**), **or** (using the symbol `|`) between
100 and 111, the codes for Manhattan and the Bronx (check the documentation if you are not
sure how `if_else` works).

We use the pipe to pass the data frame **nyc.data** to the `mutate` command and assign  the result
back to **nyc.data** (in effect adding the variable to the data frame).

```{r}
nyc.data <- nyc.data %>% mutate(manbronx = if_else((code > 300 & code < 311) | (code > 100 & code < 111),"Select","Rest"))
```

As a check, we list the values
for our new variable (since there are only 55 observations, this is not too onerous).

```{r}
nyc.data$manbronx
```

## Color

While the scatter plot in essence depicts two variables, it is often useful to distinguish
between groups of observations (in spatial lingo, we will call this spatial heterogeneity).
There are several ways to implement this in **ggplot**, but first we will illustrate the
use of `color` (we will consider `shape` and `size` next).

Color is an aesthetic. It can be set to a constant, or matched with a variable.
In the case of a constant, we simply set it to an accepted color value, such as in `color = "red"`.
Typically, it is specified as part of the `geom` to which it pertains.

### Color as a constant

Things can get a bit confusing, since the constant color can be specified as an option
of the geom, without specifying the `aes`. For example, setting `geom_point(color="red")` will
make all the points red.

```{r}
ggplot(data=nyc.data,aes(x=kids2000,y=pubast00)) +
  geom_point(color="red")
```

Note the subtle difference in thinking with setting `aes(color="red")` for `geom_point`. The result
is the same, but in essence now we don't consider the color to be an option, but one of the
aesthetics assigned to a constant value instead of to a variable. Remember to use the quotes around
red. Otherwise, `red` is considered to be a variable, and since there is no such variable in 
our data frame, it will generate an error.

```{r}
ggplot(data=nyc.data,aes(x = kids2000,y = pubast00)) + 
  geom_point(aes(color="red"))
```

Notice the difference in that now a legend is added with the value for the color
(later, we will see how to customize the heading for the legend). This highlights
how `color` is an aesthetic, in this  case mapped to a constant value.

### Color as a variable

We can now use the same principle to tie the value of `color` to a variable instead
of a constant. For example, say we want to distinguish between the points
corresponding to sub-boroughs in the Bronx and Manhatten and those in the rest of the city.
We assign the aesthetic `color` to the variable manbronx (note, no quotes since it
is a variable name that is in the data frame).

```{r}
ggplot(data=nyc.data,aes(x = kids2000, y = pubast00)) +
  geom_point(aes(color=manbronx))
```

Now, the legend heading is **manbronx** (the variable we specified) and the value for
the two colors is given.

Alternatively, we could also have specified the `color` aesthetic in the main `ggplot`
command, by means of `ggplot(data=nyc.data,aes(x = kids2000, y = pubast00, color=manbronx))`.

```{r}
ggplot(data=nyc.data,aes(x = kids2000, y = pubast00, color=manbronx)) +
  geom_point()
```

The result is the same, but there is an important difference. By specifying the color
aesthetic in the main command, we specify it for all following layers. In our simple
example, there is only one layer, so it doesn't really make a difference, but typically
it makes more sense to specify aesthetics other than x and y  specific to each geom.
As we will see later, a graph is made up of several geoms, each potentially with
their own aesthetics.

#### Sidebar 2 -- assigning (part of) a graph to an object

By now, you may have begun to get a little tired of retyping the first line in the 
`ggplot` command. Since everything in R is an object, we can assign the plot, or part
of a plot to a variable. Typically, it is best to limit this to those part of the
graph that will be repeated each time, and not to each individual option that
may be changed while experimenting.

For example, we can assign the first line of the plot to the object **g**, specifying
the data and the x and y aesthetics for all following layers.

```{r}
g <- ggplot(data=nyc.data,aes(x = kids2000,y = pubast00))
```

We now can create our custom graph with  different colors for the two areas by
adding the `geom_point` command to the object **g**.

```{r}
g + geom_point(aes(color=manbronx))
```

## Saving a Graph

### Writing a graph to a file

In our discussion so far, the graphs are drawn to the screen and then disappear.
To save a **ggplot** graph to a file for publication, there are two ways to proceed.
One is the classic R approach, in which first a **device** is opened, e.g., by means
of a `pdf` command for a pdf file (each type of file has its own command). Next, the plot commands are entered, and finally the device
is turned off by means of `dev.off()`.

Note that it is always a good idea to specify the dimension of the graph (in inches).
If not, the results can be unexpected.

For example, to save our scatter plot in a pdf file **scatter1.pdf** with a height
and width of 3 inches, we first set `pdf("scatter1.pdf",height=3,width=3)`. Next
we enter our usual ggplot commands. Note that nothing will appear on the screen.
Finally, we turn the "device" (i.e., the file) off by means of `dev.off()`.

```{r}
pdf("scatter1.pdf",height=3,width=3)
g + geom_point(aes(color=manbronx))
dev.off()
```

`The pdf file will be added to your working directory.

### Saving with `ggsave`

In addition to the standard R approach, **ggplot** also has the `ggsave` command,
which does the same thing. It requires the name for the output file, but derives
the proper format from the file extension. For example, an output file with a **png** file extension will create a png file, and similarly for pdf, etc.

The second argument specifies the **plot**. It is optional, and when not specified, the last plot is saved. Again, it is a good idea to specify the `width` and `height` (in inches). In addition, for raster files, the dots per inch (`dpi`) can be set as well. The default is 300, which is fine for most use cases, but for high resolution graphs, one can set the dpi to 600.

For example, we assign our scatter plot to scat1, and then save it 
using  `ggsave("scatter2.png",scat1,height=3,width=3,dpi=600)`:

```{r}
scat1 <- g + geom_point(aes(color=manbronx))
ggsave("scatter2.png",scat1,height=3,width=3,dpi=600)
```

The file will be added to the working directory.

To see the plot on your screen, simply type its name (scat1).

```{r}
scat1
```

###  Saving an R object

Finally, yet another approach to keep a plot object is to assign the plot commands
to a variable and then save this to disk, using the standard R command `saveRDS`. This
can later be brought back into an R session using `readRDS`. To save the plot,
we need to specify a file name with an **.rds** file extension, for example, **scatter1.rds**.

```{r}
saveRDS(scat1,"scatter1.rds")
```

At some later point (or in a different R session), we can then read the object with `readRDS` and plot it. Note that we do not need to assign it to the same variable name as before.
For example, here we call the graph object **newplot**.

```{r}
newplot <- readRDS("scatter1.rds")
newplot
```

## Shape

A further aesthetic is the shape of the geometric object. R has a number of pre-defined
shapes with (to the novice) obscure codes, assigned by the `pch` command.^[For a full list
of the codes, see, for example, the [sthda site](http://www.sthda.com/english/wiki/ggplot2-point-shapes).]

Again, we can assign the aesthetic shape to either a constant (one of the codes) or to a variable.

### Setting the shape to a constant

Similar to how we set the color above, we can add an option `shape=17` to the `geom_point` command.
This will generate a scatter plot with the points represented as triangles.


```{r}
g + geom_point(shape=12)
```

### Setting the shape to a variable

Again, similar to how we operated above for the color option, we can assign the aesthetic
shape to a variable. However, unlike what works for a constant, we cannot just specify `shape=manbronx`
for example. Instead, we need to explicitly enclose this as an option to the aesthetic, as `aes(shape=manbronx)`.
The result yields a scatter plot with dots for **Rest** and triangles for **Select**, with a legend
showing how the shapes are assigned to different values of the variable **manbronx**.


```{r}
g + geom_point(aes(shape=manbronx))
```

Now, we can get a bit fancier and assign both color and shape to **manbronx**.


```{r}
g + geom_point(aes(color=manbronx, shape=manbronx))
```

## Size

As before, we can assign the size aesthetic to a constant or to a variable.

### Setting size to a constant

We may decide that the default size of the points is not appropriate for our purposes,
and we can set it as an option to a different value (a multiple of the default).
For example, to make the points three times as large, we set `size=3` as an option
to `geom_point`.


```{r}
g + geom_point(aes(color=manbronx),size=3)
```

### Setting size to a variable

We can also specify the size as an aesthetic (i.e., in the `aes` specification) to vary with
the values of a variable. However, this does not always work as expected. For example, if
we set `size = manbronx`, we get a warning that *Using size for a discrete varible is not advised*,
as below.


```{r}
g + geom_point(aes(color=manbronx,size=manbronx))
```

There are other ways to set the size for specific values of a discrete variable, but that's beyond
our current scope.


### A bubble plot

When we set the `size` aesthetic to a continuous variable, we can visualize the interaction
among three variables, in a so-called *bubble plot*. For example, with `color=manbronx`, as before,
and now `size=hhsize00` (median household size in 2000), we obtain the following bubble plot.

```{r}
g + geom_point(aes(color=manbronx,size=hhsiz00))
```

As is no surprise, the size of the circles grows roughly with the percentage households with kids, which
is to be expected.

## Smoothing the Scatter Plot

Showing all the points in a scatter plot is fine, but we are typically interested in detecting
broad patterns in the data. To that effect, we *smooth* the data points by fitting a curve to them.

In **ggplot**, this is implemented through the `geom_smooth` command. There are two main methods
(other custom methods can be added), i.e., a linear fit and a local regression or *loess* fit. The latter
follows local changes in the association between x and y more closely. We consider each in turn.

### Linear fit

A linear fit is obtained by means of the `method="lm"` (note the quotes around lm). This is a
classical least squares fit. However, this is not
the default. If no method is specified for `geom_smooth`, the `loess` method will be used.

Also, by default, an error band is shown in gray corresponding to the standard error of the fit
(a wider band means less precise prediction). We use the default setting for `geom_point` and 
add (+) another layer with `geom_smooth(method="lm").

```{r}
g + geom_point() +
  geom_smooth(method="lm")
```

We can always change the default settings by specifying some options explicitly. For example, to
change the color of the line to "red" and to turn off the error band, we use
`geom_smooth(method="lm",color="red",se=FALSE)` (don't forget the quotes around red).

```{r}
g + geom_point() +
  geom_smooth(method="lm",color="red",se=FALSE)
```

#### Subplots

In the same way as we assigned a color aesthetic to the points, we can also assign a color
aesthetic to the linear fit. This will result in a separate fit for each of the categories,
with a separate color for each. For example, we set `aes(color=manbronx)` in both
the `geom_point` and `geom_smooth` layer. This yields not only different colors for 
the points, but also for the corresponding linear fits: one fit for each subgroup in
the data.


```{r}
g + geom_point(aes(color=manbronx)) +
  geom_smooth(aes(color=manbronx),method="lm",se=FALSE)
```

### Loess fit

Finally, the local regression fit, which is the default. As a result, we don't need to specify
any options in the `geom_smooth` command (but don't forget the parentheses).

```{r}
g + geom_point() +
  geom_smooth()
```


Again, we can use the options and aesthetics to customize the graph. For example, using the `loess` fit 
with different colors for the two subsets of the data (and without the standard error) yields:

```{r}
g + geom_point(aes(color=manbronx)) +
  geom_smooth(aes(color=manbronx),se=FALSE)
```

#### Extra - setting the bandwidth for the loess smooth

As in any local regression method, an important parameter is how much of the data is used in the local fit, the so-called `span`. This is typically set to 2/3 of the data by default. A narrower span will yield a spikier 
curve that emphasizes local changes. 

For example, we can illustrate the difference between the default and a smoother with a `span = 0.4`
and one with a `span=0.9`. We turn off the confidence
interval by setting `se = FALSE`. 


```{r}
g + geom_point() +
  geom_smooth(se=FALSE) +
  geom_smooth(color="red",span=0.4,se=FALSE) +
  geom_smooth(color="green",span=0.9,se=FALSE)
```

This also highlights how a graph is constructed by adding layers.
You can change the order in which the layers are drawn by changing their position in the command. For example,
to have the default curve on top, we add it as the last layer.


```{r}
g + geom_point() +
  geom_smooth(color="red",span=0.4,se=FALSE) +
  geom_smooth(color="green",span=0.9,se=FALSE) +
  geom_smooth(se=FALSE)
```


















