Subsetting Data

Last updated on 2024-03-12 | Edit this page

Overview

Questions

  • How can I work with subsets of data in R?

Objectives

  • To be able to subset vectors and data frames
  • To be able to extract individual and multiple elements: by index, by name, using comparison operations
  • To be able to skip and remove elements from various data structures.

R has many powerful subset operators. Mastering them will allow you to easily perform complex operations on any kind of dataset.

There are six different ways we can subset any kind of object, and three different subsetting operators for the different data structures. Why so many? Well, this gives us a lot of flexibility that can come in useful. At first, though, it may seem overwhelming. Don’t worry!

Let’s start with the workhorse of R: a simple numeric vector.

R 

x <- c(5.4, 6.2, 7.1, 4.8, 7.5)
names(x) <- c('a', 'b', 'c', 'd', 'e')
x

OUTPUT 

  a   b   c   d   e 
5.4 6.2 7.1 4.8 7.5

Atomic vectors

In R, simple vectors containing character strings, numbers, or logical values are called atomic vectors because they can’t be further simplified.

So now that we’ve created a dummy vector to play with, how do we get at its contents?

Accessing elements using their indices

To extract elements of a vector we can give their corresponding index, or their numbered place in the vector starting from one:

R 

x[1]

OUTPUT 

  a 
5.4

R 

x[4]

OUTPUT 

  d 
4.8

It may look different, but the square brackets operator is a function. For vectors (and matrices), it means “get me the nth element”.

We can ask for multiple elements at once:

R 

x[c(1, 3)]

OUTPUT 

  a   c 
5.4 7.1

Or slices of the vector:

R 

x[1:4]

OUTPUT 

  a   b   c   d 
5.4 6.2 7.1 4.8

the : operator creates a sequence of numbers from the left element to the right.

R 

1:4

OUTPUT 

[1] 1 2 3 4

R 

c(1, 2, 3, 4)

OUTPUT 

[1] 1 2 3 4

We can ask for the same element multiple times:

R 

x[c(1, 1, 3)]

OUTPUT 

  a   a   c 
5.4 5.4 7.1

If we ask for an index beyond the length of the vector, R will return a missing value:

R 

x[6]

OUTPUT 

<NA> 
  NA

This is a vector of length one containing an NA, whose name is also NA. Here NA stands for “Not Available”, and is a common way to represent a missing value.

If we ask for the 0th element, we get an empty vector:

R 

x[0]

OUTPUT 

named numeric(0)

Vector numbering in R starts at 1

In many programming languages (C and Python, for example), the first element of a vector has an index of 0. In R, the first element is 1.

Skipping and removing elements

If we use a negative number as the index of a vector, R will return every element except for the one specified:

R 

x[-2]

OUTPUT 

  a   c   d   e 
5.4 7.1 4.8 7.5

We can skip multiple elements:

R 

x[c(-1, -5)]  # or x[-c(1,5)]

OUTPUT 

  b   c   d 
6.2 7.1 4.8

Tip: Order of operations

A common trip up for novices occurs when trying to skip slices of a vector. It’s natural to to try to negate a sequence like so:

R 

x[-1:3]

This gives a somewhat cryptic error:

ERROR 

Error in x[-1:3]: only 0's may be mixed with negative subscripts

But remember the order of operations. : is really a function. It takes its first argument as -1, and its second as 3, so generates the sequence of numbers: c(-1, 0, 1, 2, 3).

The correct solution is to wrap that function call in brackets, so that the - operator applies to the result:

R 

x[-(1:3)]

OUTPUT 

  d   e 
4.8 7.5

To remove elements from a vector, we need to assign the result back into the variable:

R 

x <- x[-4]
x

OUTPUT 

  a   b   c   e 
5.4 6.2 7.1 7.5

Challenge 1

Given the following code:

R 

x <- c(5.4, 6.2, 7.1, 4.8, 7.5)
names(x) <- c('a', 'b', 'c', 'd', 'e')
print(x)

OUTPUT 

  a   b   c   d   e 
5.4 6.2 7.1 4.8 7.5

Come up with at least 3 different commands that will produce the following output:

OUTPUT 

  b   c   d 
6.2 7.1 4.8

After you find 3 different commands, compare notes with your neighbour. Did you have different strategies?

R 

x[2:4]

OUTPUT 

  b   c   d 
6.2 7.1 4.8

R 

x[-c(1,5)]

OUTPUT 

  b   c   d 
6.2 7.1 4.8

R 

x[c("b", "c", "d")]

OUTPUT 

  b   c   d 
6.2 7.1 4.8

R 

x[c(2,3,4)]

OUTPUT 

  b   c   d 
6.2 7.1 4.8

Subsetting by name

We can extract elements by using their name, instead of extracting by index:

R 

x <- c(a = 5.4, b = 6.2, c = 7.1, d = 4.8, e = 7.5) # we can name a vector 'on the fly'
x[c("a", "c")]

OUTPUT 

  a   c 
5.4 7.1

This is usually a much more reliable way to subset objects: the position of various elements can often change when chaining together subsetting operations, but the names will always remain the same!

Subsetting through other logical operations

We can also use any logical vector to subset:

R 

x[c(FALSE, FALSE, TRUE, FALSE, TRUE)]

OUTPUT 

  c   e 
7.1 7.5

Since comparison operators (e.g. >, <, ==) evaluate to logical vectors, we can also use them to succinctly subset vectors: the following statement gives the same result as the previous one.

R 

x[x > 7]

OUTPUT 

  c   e 
7.1 7.5

Breaking it down, this statement first evaluates x > 7, generating a logical vector c(FALSE, FALSE, TRUE, FALSE, TRUE), and then selects the elements of x corresponding to the TRUE values.

We can use == to mimic the previous method of indexing by name (you have to use == rather than = for comparisons, as R has another use for =):

R 

x[names(x) == "a"]

OUTPUT 

  a 
5.4

Tip: Combining logical conditions

We often want to combine multiple logical criteria. For example, we might want to find all the plots that are located in Casco Bay or Penobscot Bay and have urchin densities within a certain range. Several operations for combining logical vectors exist in R:

  • &, the “logical AND” operator: returns TRUE if both the left and right are TRUE.
  • |, the “logical OR” operator: returns TRUE, if either the left or right (or both) are TRUE.

You may sometimes see && and || instead of & and |. These two-character operators only look at the first element of each vector and ignore the remaining elements. In general you should not use the two-character operators in data analysis; save them for programming, i.e. deciding whether to execute a statement.

  • !, the “logical NOT” operator: converts TRUE to FALSE and FALSE to TRUE. It can negate a single logical condition (eg !TRUE becomes FALSE), or a whole vector of conditions(eg !c(TRUE, FALSE) becomes c(FALSE, TRUE)).

Additionally, you can compare the elements within a single vector using the all function (which returns TRUE if every element of the vector is TRUE) and the any function (which returns TRUE if one or more elements of the vector are TRUE).

Challenge 2

Given the following code:

R 

x <- c(5.4, 6.2, 7.1, 4.8, 7.5)
names(x) <- c('a', 'b', 'c', 'd', 'e')
print(x)

OUTPUT 

  a   b   c   d   e 
5.4 6.2 7.1 4.8 7.5

Write a subsetting command to return the values in x that are greater than 4 and less than 7.

R 

x_subset <- x[x<7 & x>4]
print(x_subset)

OUTPUT 

  a   b   d 
5.4 6.2 4.8

Skipping named elements

Skipping or removing named elements is a little harder. If we try to skip one named element by negating the string, R complains (slightly obscurely) that it doesn’t know how to take the negative of a string:

R 

x <- c(a=5.4, b=6.2, c=7.1, d=4.8, e=7.5) # we start again by naming a vector 'on the fly'
x[-"a"]

ERROR 

Error in -"a": invalid argument to unary operator

However, we can use the != (not-equals) operator to construct a logical vector that will do what we want:

R 

x[names(x) != "a"]

OUTPUT 

  b   c   d   e 
6.2 7.1 4.8 7.5

Skipping multiple named indices is a little bit harder still. Suppose we want to drop the "a" and "c" elements, so we try this:

R 

x[names(x)!=c("a","c")]

WARNING 

Warning in names(x) != c("a", "c"): longer object length is not a multiple of
shorter object length

OUTPUT 

  b   c   d   e 
6.2 7.1 4.8 7.5

R did something, but it gave us a warning that we ought to pay attention to, and it apparently gave us the wrong answer (the "c" element is still included in the vector)!

So what does != actually do in this case? That’s an excellent question.

Recycling

Let’s take a look at the comparison component of this code:

R 

names(x) != c("a", "c")

WARNING 

Warning in names(x) != c("a", "c"): longer object length is not a multiple of
shorter object length

OUTPUT 

[1] FALSE  TRUE  TRUE  TRUE  TRUE

Why does R give TRUE as the third element of this vector, when names(x)[3] != "c" is obviously false? When you use !=, R tries to compare each element of the left argument with the corresponding element of its right argument. What happens when you compare vectors of different lengths?

When one vector is shorter than the other, it gets recycled. In this case R repeats c("a", "c") as many times as necessary to match names(x), i.e. we get c("a","c","a","c","a"). Since the recycled "a" doesn’t match the third element of names(x), the value of != is TRUE. Because in this case the longer vector length (5) isn’t a multiple of the shorter vector length (2), R printed a warning message. If we had been unlucky and names(x) had contained six elements, R would silently have done the wrong thing (i.e., not what we intended it to do). This recycling rule can can introduce hard-to-find and subtle bugs!

The way to get R to do what we really want (match each element of the left argument with all of the elements of the right argument) it to use the %in% operator. The %in% operator goes through each element of its left argument, in this case the names of x, and asks, “Does this element occur in the second argument?”. Here, since we want to exclude values, we also need a ! operator to change “in” to “not in”:

R 

x[! names(x) %in% c("a","c") ]

OUTPUT 

  b   d   e 
6.2 4.8 7.5

Tip: Getting help for operators

You can search for help on operators by wrapping them in quotes: help("%in%") or ?"%in%".

Handling special values

At some point you will encounter functions in R that cannot handle missing, infinite, or undefined data.

There are a number of special functions you can use to filter out this data:

  • is.na will return all positions in a vector, matrix, or data frame containing NA (or NaN)
  • likewise, is.nan, and is.infinite will do the same for NaN and Inf.
  • is.finite will return all positions in a vector, matrix, or data.frame that do not contain NA, NaN or Inf.
  • na.omit will filter out all missing values from a vector

Data frames

Data frames are two dimensional objects (under the hood they are structured as lists in R, but we aren’t going to go into detail on that). Data frames have some useful subsetting operators.

Let’s look at the Casco Bay DMR kelp-urchin data again.

R 

casco_dmr <- read.csv("data/casco_kelp_urchin.csv") # if you don't already have the data loaded

[ with one argument will extract a column - each element of the data frame corresponds to a column. The resulting object will be a data frame:

R 

head(casco_dmr[3])

OUTPUT 

  exposure.code
1             2
2             2
3             3
4             2
5             2
6             1

R 

class(casco_dmr[3])

OUTPUT 

[1] "data.frame"

Similarly, [[ will act to extract a single column:

R 

head(casco_dmr[["exposure.code"]])

OUTPUT 

[1] 2 2 3 2 2 1

And $ provides a convenient shorthand to extract columns by name:

R 

head(casco_dmr$exposure.code)

OUTPUT 

[1] 2 2 3 2 2 1

To select specific rows and/or columns, you can provide two arguments to [. The first identifies the rows to subset, and the second the columns.

R 

casco_dmr[1:3, ]

OUTPUT 

  year    region exposure.code coastal.code latitude longitude depth crust
1 2001 Casco Bay             2            2 43.72766 -70.10721     5   6.1
2 2001 Casco Bay             2            2 43.76509 -69.96087     5  31.5
3 2001 Casco Bay             3            3 43.75199 -69.93420     5  31.5
  understory kelp urchin month day survey site
1       38.5 92.5      0     6  15    dmr   66
2       74.0 59.0      0     6  15    dmr   71
3       96.5  7.7      0     6  15    dmr   70

If we subset a single row, the result will be a data frame (because the elements are mixed types):

R 

casco_dmr[3, ]

OUTPUT 

  year    region exposure.code coastal.code latitude longitude depth crust
3 2001 Casco Bay             3            3 43.75199  -69.9342     5  31.5
  understory kelp urchin month day survey site
3       96.5  7.7      0     6  15    dmr   70

But for a single column the result will be a vector (this can be changed with the argument, drop = FALSE).

R 

str(casco_dmr[, 3])

OUTPUT 

 int [1:90] 2 2 3 2 2 1 2 3 3 5 ...

R 

str(casco_dmr[, 3, drop = FALSE])

OUTPUT 

'data.frame':	90 obs. of  1 variable:
 $ exposure.code: int  2 2 3 2 2 1 2 3 3 5 ...

Challenge 3

Fix each of the following common data frame subsetting errors:

  1. Extract observations collected for the year 2011

R 

casco_dmr[casco_dmr$year = 2011, ]
  1. Extract all columns except 1 through to 4

R 

casco_dmr[, -1:4]
  1. Extract the rows where the kelp percent cover is greater than 80%

R 

casco_dmr[casco_dmr$kelp > 80]
  1. Extract the first row, and the fifth and sixth columns (latitude and longitude).

R 

casco_dmr[1, 5, 6]
  1. Advanced: extract rows that contain information for the years 2002 or 2007

R 

casco_dmr[casco_dmr$year == 2002 | 2007,]

Fix each of the following common data frame subsetting errors:

  1. Extract observations collected for the year 2011

R 

# casco_dmr[casco_dmr$year = 2011, ]
casco_dmr[casco_dmr$year == 2011, ]
  1. Extract all columns except 1 through to 4

R 

# casco_dmr[, -1:4]
casco_dmr[,-c(1:4)]
  1. Extract the rows where the kelp cover is greater than 80%

R 

# casco_dmr[casco_dmr$kelp > 80]
casco_dmr[casco_dmr$kelp > 80,]
  1. Extract the first row, and the fifth and sixth columns (latitude and longitude).

R 

# casco_dmr[1, 5, 6]
casco_dmr[1, c(5, 6)]
  1. Advanced: extract rows that contain information for the years 2002 and 2007

R 

# casco_dmr[casco_dmr$year == 2002 | 2007,]
casco_dmr[casco_dmr$year == 2002 | casco_dmr$year == 2007,]
casco_dmr[casco_dmr$year %in% c(2002, 2007),]

Challenge 4

  1. Why does casco_dmr[1:20] return an error? How does it differ from casco_dmr[1:20, ]?

  2. Create a new data.frame called casco_dmr_small that only contains rows 1 through 9 and 19 through 23. You can do this in one or two steps.

  1. casco_dmr is a data.frame so it needs to be subsetted on two dimensions. casco_dmr[1:20, ] subsets the data to give the first 20 rows and all columns.

R 

casco_dmr_small <- casco_dmr[c(1:9, 19:23),]

Key Points

  • Indexing in R starts at 1, not 0.
  • Access individual values by location using [].
  • Access slices of data using [low:high].
  • Access arbitrary sets of data using [c(...)].
  • Use logical operations and logical vectors to access subsets of data.