5 R Basics

5.1 Creating objects in R

You can get output from R simply by typing math in the console:

3 + 5
## [1] 8
12 / 7
## [1] 1.714286

However, to do useful and interesting things, we need to assign values to objects. To create an object, we need to give it a name followed by the assignment operator <- or =, and the value we want to give it:

weight_kg <- 55

<- is the assignment operator. It assigns values on the right to objects on the left. So, after executing x <- 3, the value of x is 3. The arrow can be read as 3 goes into x. For historical reasons, you can also use = for assignments, but not in every context. Because of the slight differences in syntax, it is best practice to always use <- for assignments.

Objects can be given any name such as x, current_temperature, or subject_id. You want your object names to be explicit and not too long.

They cannot start with a number (2x is not valid, but x2 is). R is case sensitive (e.g., weight_kg is different from Weight_kg).

There are some names that cannot be used because they are the names of fundamental functions in R (e.g., if, else, for, see here for a complete list). In general, even if it’s allowed, it’s best to not use other function names (e.g., c, mean, data, weights). If in doubt, check the help to see if the name is already in use. It’s also best to avoid dots (.) within an object name as in my.dataset. There are many functions in R with dots in their names for historical reasons, but because dots have a special meaning in R (for methods) and other programming languages, it’s best to avoid them. It is also recommended to use nouns for object names, and verbs for function names.

It’s important to be consistent in the styling of your code (where you put spaces, how you name objects, etc.). Using a consistent coding style makes your code clearer to read for your future self and your collaborators. In R, three popular style guides are Google’s, Jean Fan’s and the tidyverse’s. This may seem overwhelming at first. My suggestion is to focus on what makes sense to you, and that you are using naming conventions that will help you to remember what is stored in each object. Try and be consistent with spacing and capitalization (or not) — your future self will thank you.


5.2 Objects vs. variables

What are known as objects in R are known as variables in many other programming languages. In this lesson, the two words are used synonymously. For more information see https://cran.r-project.org/doc/manuals/r-release/R-lang.html#Objects

When assigning a value to an object, R does not print anything. You can force R to print the value by using parentheses or by typing the object name.

weight_kg <- 55 #  doesn't print anything
(weight_kg <- 55) #  will print the value of `weight_kg`
## [1] 55
weight_kg         #  and so does typing the name of the object
## [1] 55

Now that R has weight_kg in memory, we can do arithmetic with it. For instance, we may want to convert this weight into pounds (weight in pounds is 2.2 times the weight in kg):

2.2 * weight_kg
## [1] 121

We can also change an object’s value by assigning it a new one:

weight_kg <- 57.5
2.2 * weight_kg
## [1] 126.5

This means that assigning a value to one object does not change the values of other objects For example, let’s store the animal’s weight in pounds in a new object, weight_lb:

weight_lb <- 2.2 * weight_kg

and then change weight_kg to 100.

weight_kg <- 100

What do you think is the current content of the object weight_lb? 126.5 or 220?


5.3 Functions and their arguments

Functions are “canned scripts” that automate more complicated sets of commands including operations assignments, etc. Many functions are predefined, or can be made available by importing R packages.

A function usually takes one or more inputs called arguments. Functions often (but not always) return a value. A typical example would be the function sqrt(). The input (the argument) must be a number, and the return value (in fact, the output) is the square root of that number.

You can think of a function call generally as

do_this(to_that)
do_that(to_this, to_that, with_those)

Executing a function (‘running it’) is called calling the function. An couple of examples of function calls are:

print("hello world")
## [1] "hello world"
a <- 9
b <- sqrt(a)
b
## [1] 3

Here, the value of a is given to the sqrt() function, the sqrt() function calculates the square root, and returns the value which is then assigned to the object b. This function is very simple, because it takes just one argument.

The return ‘value’ of a function need not be numerical (like that of sqrt()), and it also does not need to be a single item: it can be a set of things, or even a dataset. We’ll see that when we read data files into R.

Arguments can be anything, not only numbers or filenames, but also other objects. Exactly what each argument means differs per function, and must be looked up in the documentation (see below). Some functions take arguments which may either be specified by the user, or, if left out, take on a default value: these are called options. Options are typically used to alter the way the function operates, such as whether it ignores ‘bad values’, or what symbol to use in a plot. However, if you want something specific, you can specify a value of your choice which will be used instead of the default.

Let’s try a function that can take multiple arguments: round().

round(3.14159)
## [1] 3

Here, we’ve called round() with just one argument, 3.14159, and it has returned the value 3. That’s because the default is to round to the nearest whole number. If we want more digits we can see how to do that by getting information about the round function. We can use args(round) to find what arguments it takes, or look at the help for this function using ?round.

args(round)
## function (x, digits = 0) 
## NULL
?round

We see that if we want a different number of digits, we can type digits = 2 or however many we want.

round(3.14159, digits = 2)
## [1] 3.14

If you provide the arguments in the exact same order as they are defined you don’t have to name them:

round(3.14159, 2)
## [1] 3.14

And if you do name the arguments, you can switch their order:

round(digits = 2, x = 3.14159)
## [1] 3.14

It’s good practice to put the non-optional arguments (like the number you’re rounding) first in your function call, and to then specify the names of all optional arguments. If you don’t, someone reading your code might have to look up the definition of a function with unfamiliar arguments to understand what you’re doing.

EXERCISE 5.3

Compute the golden ratio in a single line of code. One approximation of the golden ratio can be found by taking the sum of 1 and the square root of 5, and dividing by 2. Compute the golden ratio to 3 digits of precision using the sqrt() and round() functions. Hint: you can place one function inside of another.

5.4 Data types in R

So far we have been storing integer values in the above examples, now lets look at other data types present in R. There are several data types such as integer, string, etc. The operating system allocates memory based on the data type of the variable and decides what can be stored in the reserved memory.

There are the following data types which are used in R programming:



Data type Example Description
Logical True, False It is a special data type for data with only two possible values which can be construed as true/false.
Numeric 12,32,112,5432 Decimal value is called numeric in R, and it is the default computational data type.
Integer 3L, 66L, 2346L Here, L tells R to store the value as an integer,
Complex Z=1+2i, t=7+3i A complex value in R is defined as the pure imaginary value i.
Character ‘a’, ‘“good’”, “TRUE”, ’35.4’ In R programming, a character is used to represent string values. We convert objects into character values with the help ofas.character() function.
Raw A raw data type is used to holds raw bytes.
weight_kg <- 100
name<-"Samantha"
present<-TRUE

5.5 Data structures in R

R has six types of basic data structures. We can organize these data structures according to their dimensions(1d, 2d, nd). We can also classify them as homogeneous or heterogeneous (can their contents be of different datatypes or not).

Homogeneous data structures are ones that can only store a single type of data (numeric, integer, character, etc.).

Heterogeneous data structures are ones that can store more than one type of data at the same time.

R does not have 0 dimensional or scalar type. Variables containing single values are vectors of length 1.

R has the following basic data structures:

  1. Vector (1d,homegenous)
  2. List (heterogeneous)
  3. Matrix (2d, homogeneous)
  4. Data frame (tibble) (2d, heterogeneous)
  5. Array (3d,homogeneous)


EXERCISE 5.5

In which data sturctures can we put multiple data types?



5.6 Vectors



A vector is the most common and basic data type in R, and is pretty much the workhorse of R. A vector is a collection of values that are all of the same type (numeric, character, etc.). We can assign a series of values to a vector using the c() function. For example we can create a vector of animal weights and assign it to a new object weight_g:

weight_g <- c(50, 60, 65, 82)
weight_g
## [1] 50 60 65 82

A vector can also contain characters:

animals <- c("mouse", "rat", "dog")
animals
## [1] "mouse" "rat"   "dog"

The quotes around “mouse”, “rat”, etc. are essential here. Without the quotes R will assume objects have been created called mouse, rat and dog. As these objects don’t exist in R’s memory, there will be an error message.

There are many functions that allow you to inspect the content of a vector. length() tells you how many elements are in a particular vector:

length(weight_g)
## [1] 4
length(animals)
## [1] 3

An important feature of a vector, is that all of the elements are the same type of data. The function class() indicates the class (the type of element) of an object:

class(weight_g)
## [1] "numeric"
class(animals)
## [1] "character"

The function str() provides an overview of the structure of an object and its elements. It is a useful function when working with large and complex objects:

str(weight_g)
##  num [1:4] 50 60 65 82
str(animals)
##  chr [1:3] "mouse" "rat" "dog"

You can use the c() function to add other elements to your vector:

weight_g <- c(weight_g, 90) # add to the end of the vector
weight_g <- c(30, weight_g) # add to the beginning of the vector
weight_g
## [1] 30 50 60 65 82 90

In the first line, we take the original vector weight_g, add the value 90 to the end of it, and save the result back into weight_g. Then we add the value 30 to the beginning, again saving the result back into weight_g.

We can do this over and over again to grow a vector, or assemble a dataset. As we program, this may be useful to add results that we are collecting or calculating.

5.7 Indexing vectors

If we want to extract one or several values from a vector, we must provide one or several indices in square brackets. For instance:

animals <- c("mouse", "rat", "dog", "cat")
# Get the 2nd value in the animals vector
animals[2]
## [1] "rat"
# Get the 1st through 3rd value in the animals vector
animals[1:3]
## [1] "mouse" "rat"   "dog"
# Get the 2nd and 4th values
animals[c(2,4)]
## [1] "rat" "cat"

R indices start at 1. Programming languages like Fortran, MATLAB, Julia, and R start counting at 1, because that’s what human beings typically do. Languages in the C family (including C++, Java, Perl, and Python) count from 0 because reasons.

Adding values to vectors

We can add new items to a vector using the c() function.

animals <- c(animals, "horse", "crab", "monkey")
animals
## [1] "mouse"  "rat"    "dog"    "cat"    "horse"  "crab"   "monkey"

Replacing values in existing vectors

We can replace a value by using the index of the item to be replaced:

# Change monkey to bird
animals[7] <- "bird"
animals
## [1] "mouse" "rat"   "dog"   "cat"   "horse" "crab"  "bird"


5.8 Conditional subsetting

Another common way of subsetting is by using a logical vector. TRUE will select the element with the same index, while FALSE will not:

weight_g <- c(21, 34, 39, 54, 55)
weight_g[c(TRUE, FALSE, TRUE, TRUE, FALSE)]
## [1] 21 39 54

Typically, these logical vectors are not typed by hand, but are the output of other functions or logical tests. For instance, if you wanted to select only the values above 50:

weight_g > 50    # will return logicals with TRUE for the indices that meet the condition
## [1] FALSE FALSE FALSE  TRUE  TRUE
## so we can use this to select only the values above 50
weight_g[weight_g > 50]
## [1] 54 55

You can combine multiple tests using & (both conditions are true, AND) or | (at least one of the conditions is true, OR):

weight_g[weight_g < 30 | weight_g > 50]
## [1] 21 54 55
weight_g[weight_g >= 30 & weight_g == 21]
## numeric(0)

Here, < stands for “less than”, > for “greater than”, >= for “greater than or equal to”, and == for “equal to”. The double equal sign == is a test for numerical equality between the left and right hand sides, and should not be confused with the single = sign, which performs variable assignment (similar to <-).

Operator Description
< less than
<= less than or equal to
> greater than
>= greater than or equal to
== equal to
!= not equal to
!x not x
a|b a or b
a&b a and b

A common task is to search for certain strings in a vector. One could use the “or” operator | to test for equality to multiple values, but this can quickly become tedious. The function %in% allows you to test if any of the elements of a search vector are found:

animals <- c("mouse", "rat", "dog", "cat")
animals[animals == "cat" | animals == "rat"] # returns both rat and cat
## [1] "rat" "cat"
animals %in% c("rat", "cat", "dog", "duck", "goat")
## [1] FALSE  TRUE  TRUE  TRUE
animals[animals %in% c("rat", "cat", "dog", "duck", "goat")]
## [1] "rat" "dog" "cat"

The which() function returns the indices of any item that evaluates as TRUE in our comparison:

which(animals == "cat")
## [1] 4

EXERCISE 5.7.1

  • Can you figure out why “four” > “five” returns TRUE?

5.9 Missing data

As R was designed to analyze datasets, it includes the concept of missing data (which is uncommon in other programming languages). Missing data are represented in vectors as NA.

When doing operations on numbers, most functions will return NA if the data you are working with include missing values. This feature makes it harder to overlook the cases where you are dealing with missing data. You can add the argument na.rm = TRUE to calculate the result while ignoring the missing values.

heights <- c(2, 4, 4, NA, 6)
mean(heights)
## [1] NA
max(heights)
## [1] NA
mean(heights, na.rm = TRUE)
## [1] 4
max(heights, na.rm = TRUE)
## [1] 6

If your data include missing values (and that’s probably all of us!), you may want to become familiar with the functions is.na(), and na.omit(). See below for examples.

# Extract those elements which are not missing values.
heights[!is.na(heights)]
## [1] 2 4 4 6
# Returns the object with incomplete cases removed.
na.omit(heights)
## [1] 2 4 4 6
## attr(,"na.action")
## [1] 4
## attr(,"class")
## [1] "omit"

EXERCISE 5.8.1

  1. Using this vector of heights in inches, create a new vector, heights_no_na, with the NAs removed.
heights <- c(63, 69, 60, 65, NA, 68, 61, 70, 61, 59, 64, 69, 63, 63, NA, 72, 65, 64, 70, 63, 65)
  1. Use the function median() to calculate the median of the heights vector.
  2. Use R to figure out how many people in the set are taller than 67 inches.