Introduction to R and RStudio
The goal of this lab is to introduce you to R and RStudio, which you’ll be using throughout the course both to learn the statistical concepts discussed in the texbook and also to analyze real data and come to informed conclusions. To straighten out which is which: R is the name of the programming language itself and RStudio is a convenient interface.
As the labs progress, you are encouraged to explore beyond what the labs dictate; a willingness to experiment will make you a much better programmer. Before we get to that stage, however, you need to build some basic fluency in R. Today we begin with the fundamental building blocks of R and RStudio: the interface, reading in data, and basic commands.
The panel in the upper right contains your workspace as well as a history of the commands that you’ve previously entered. Any plots that you generate will show up in the panel in the lower right corner.
The panel on the left is where the action happens. It’s called the console. Everytime you launch RStudio, it will have the same text at the top of the console telling you the version of R that you’re running. Below that information is the prompt. As its name suggests, this prompt is really a request, a request for a command. Initially, interacting with R is all about typing commands and interpreting the output. These commands and their syntax have evolved over decades (literally) and now provide what many users feel is a fairly natural way to access data and organize, describe, and invoke statistical computations.
To get you started, enter the following commands at the R prompt (i.e. right after > on the console). You can either type it in manually or copy and paste it from this document.
library(oilabs)
library(dplyr)
library(ggplot2)
data(arbuthnot)This command instructs R to load some data: the Arbuthnot baptism counts for boys and girls. You should see that the workspace area in the upper righthand corner of the RStudio window now lists a data set called arbuthnot that has 82 observations on 3 variables. As you interact with R, you will create a series of objects. Sometimes you load them as we have done here, and sometimes you create them yourself as the byproduct of a computation or some analysis you have performed. Note that because you are working on the RStudio server, this data comes preloaded. If you would like to run RStudio locally on your own computer please ask me how you can access this data (it’s super quick to do).
The Data: Dr. Arbuthnot’s Baptism Records
The Arbuthnot data set refers to Dr. John Arbuthnot, an 18th century physician, writer, and mathematician. He was interested in the ratio of newborn boys to newborn girls, so he gathered the baptism records for children born in London for every year from 1629 to 1710. We can take a look at the data by typing its name into the console.
arbuthnotWhat you should see are four columns of numbers, each row representing a different year: the first entry in each row is simply the row number (an index we can use to access the data from individual years if we want), the second is the year, and the third and fourth are the numbers of boys and girls baptized that year, respectively. Use the scrollbar on the right side of the console window to examine the complete data set.
Note that the row numbers in the first column are not part of Arbuthnot’s data. R adds them as part of its printout to help you make visual comparisons. You can think of them as the index that you see on the left side of a spreadsheet. In fact, the comparison to a spreadsheet will generally be helpful. R has stored Arbuthnot’s data in a kind of spreadsheet or table called a data frame.
You can see the dimensions of this data frame by typing:
dim(arbuthnot)## [1] 82 3This command should output [1] 82 3, indicating that there are 82 rows and 3 columns (we’ll get to what the [1] means in a bit), just as it says next to the object in your workspace. You can see the names of these columns (or variables) by typing:
names(arbuthnot)## [1] "year" "boys" "girls"You should see that the data frame contains the columns year, boys, and girls. At this point, you might notice that many of the commands in R look a lot like functions from math class; that is, invoking R commands means supplying a function with some number of arguments. The dim and names commands, for example, each took a single argument, the name of a data frame.
One advantage of RStudio is that it comes with a built-in data viewer. Click on the name arbuthnot in the Environment pane (upper right window) that lists the objects in your workspace. This will bring up an alternative display of the data set in the Data Viewer (upper left window). You can close the data viewer by clicking on the x in the upper lefthand corner.
Some Exploration
Let’s start to examine the data a little more closely. We can access the data in a single column of a data frame separately using a command like
arbuthnot$boysThis command will only show the number of boys baptized each year.
- What command would you use to extract just the counts of girls baptized? Try it!
Notice that the way R has printed these data is different. When we looked at the complete data frame, we saw 82 rows, one on each line of the display. These data are no longer structured in a table with other variables, so they are displayed one right after another. Objects that print out in this way are called vectors; they represent a set of numbers. R has added numbers in [brackets] along the left side of the printout to indicate locations within the vector. For example, 5218 follows [1], indicating that 5218 is the first entry in the vector. And if [43] starts a line, then that would mean the first number on that line would represent the 43rd entry in the vector.
R has some powerful functions for making graphics. We can create a simple plot of the number of girls baptized per year with the command
qplot(x = year, y = girls, data = arbuthnot)The qplot() function (meaning “quick plot”) looks at the type of data you have provided it and makes the decision to visualize it with a scatterplot. The plot should appear under the Plots tab of the lower right panel of RStudio. Notice that the command above again looks like a function, this time with three arguments separated by commas. The first two arguments in the qplot() function specify the variables for the x-axis and the y-axis and the third provides the name of the data set where they can be found. If we wanted to connect the data points with lines, we could add a fourth argument to specify the geometry that we’d like.
qplot(x = year, y = girls, data = arbuthnot, geom = "line")You might wonder how you are supposed to know that it was possible to add that fourth argument. Thankfully, R documents all of its functions extensively. To read what a function does and learn the arguments that are available to you, just type in a question mark followed by the name of the function that you’re interested in. Try the following.
?qplotNotice that the help file replaces the plot in the lower right panel. You can toggle between plots and help files using the tabs at the top of that panel.
- Is there an apparent trend in the number of girls baptized over the years? How would you describe it?
Now, suppose we want to plot the total number of baptisms. To compute this, we could use the fact that R is really just a big calculator. We can type in mathematical expressions like
5218 + 4683to see the total number of baptisms in 1629. We could repeat this once for each year, but there is a faster way. If we add the vector for baptisms for boys to that of girls, R will compute all sums simultaneously.
arbuthnot$boys + arbuthnot$girlsWhat you will see are 82 numbers (in that packed display, because we aren’t looking at a data frame here), each one representing the sum we’re after. Take a look at a few of them and verify that they are right.
We’ll be using this new vector to generate some plots, so we’ll want to save it as a permanent column in our data frame.
arbuthnot <- mutate(arbuthnot, total = boys + girls)You’ll see that there is now a new column called “total” that has been tacked on to the data frame. The special symbol <- performs an assignment, taking the output of one line of code and saving it into an object in your workspace. In this case, you already have an object called arbuthnot, so this command updates that data set with the new mutated column.
We can make a plot of the total number of baptisms per year with the command
qplot(x = year, y = total, data = arbuthnot, geom = "line")Similarly to how we computed the total number of births, we can compute the ratio of the number of boys to the number of girls baptized in 1629 with
5218 / 4683or we can act on the complete columns with the expression
arbuthnot$boys / arbuthnot$girlsWe can also compute the proportion of newborns that are boys
5218 / (5218 + 4683)or this may also be computed for all years simultaneously:
arbuthnot$boys / (arbuthnot$boys + arbuthnot$girls)Note that with R as with your calculator, you need to be conscious of the order of operations. Here, we want to divide the number of boys by the total number of newborns, so we have to use parentheses. Without them, R will first do the division, then the addition, giving you something that is not a proportion.
- Now, mutate the data frame once more to include a new column for the proportion of newborns that are boys, then generate a plot of that proportion over time. What do you see? Tip: If you use the up and down arrow keys, you can scroll through your previous commands, your so-called command history. You can also access it by clicking on the history tab in the upper right panel. This will save you a lot of typing in the future.
Finally, in addition to simple mathematical operators like subtraction and division, you can ask R to make comparisons like greater than, >, less than, <, and equality, ==. For example, we can ask if boys outnumber girls in each year with the expression
arbuthnot$boys > arbuthnot$girlsThis command returns 82 values of either TRUE if that year had more boys than girls, or FALSE if that year did not (the answer may surprise you). This output shows a different kind of data than we have considered so far. All other columns in the arbuthnot data frame have values are numerical (the year, the number of boys and girls). Here, we’ve asked R to create logical data, data where the values are either TRUE or FALSE. In general, data analysis will involve many different kinds of data types, and one reason for using R is that it is able to represent and compute with many of them.
This seems like a fair bit for your first lab, so let’s stop here. To exit RStudio you can click on the log out link at the upper right corner of the screen. Go ahead and log out and then sign back in. You’ll find your R session is just as you left it.
On Your Own
In the previous few pages, you recreated some of the displays and preliminary analysis of Arbuthnot’s baptism data. Your assignment involves repeating these steps, but for present day birth records in the United States. Load up the present day data with the following command.
data(present)The data are stored in a data frame called present.
What years are included in this data set? What are the dimensions of the data frame and what are the variable or column names?
How do these counts compare to Arbuthnot’s? Are they on a similar scale?
Make a plot that displays the boy-to-girl ratio for every year in the data set. What do you see? Does Arbuthnot’s observation about boys being born in greater proportion than girls hold up in the U.S.? Include the plot in your response.
In what year did we see the most total number of births in the U.S.?
These data come from a report by the Centers for Disease Control http://www.cdc.gov/nchs/data/nvsr/nvsr53/nvsr53_20.pdf. Check it out if you would like to read more about an analysis of sex ratios at birth in the United States.
That was a short introduction to R and RStudio, but we will provide you with more functions and a more complete sense of the language as the course progresses. Feel free to browse around the websites for R and RStudio if you’re interested in learning more, or find more labs for practice at http://openintro.org.