R Foundation

R is a programming language for statistical computing and data visualization. It has been widely adopted in the fields of data mining, bioinformatics, data analysis, and data science.

The core R language is extended by a large number of software packages, which contain reusable code, documentation, and sample data. Some of the most popular R packages are in the tidyverse collection, which enhances functionality for visualizing, transforming, and modelling data, as well as improves the ease of programming (according to the authors and users).

R is free and open-source software distributed under the GNU General Public License. The language is implemented primarily in C, Fortran, and R itself. Precompiled executables are available for the major operating systems (including Linux, MacOS, and Microsoft Windows).

Its core is an interpreted language with a native command line interface. In addition, multiple third-party applications are available as graphical user interfaces; such applications include RStudio (an integrated development environment) and Jupyter (a notebook interface).

History

R was started by professors Ross Ihaka and Robert Gentleman as a programming language to teach introductory statistics at the University of Auckland. The language was inspired by the S programming language, with most S programs able to run unaltered in R. The language was also inspired by Scheme's lexical scoping, allowing for local variables.

The name of the language, R, comes from being both an S language successor and the shared first letter of the authors, Ross and Robert. In August 1993, Ihaka and Gentleman posted a binary file of R on StatLib — a data archive website. At the same time, they announced the posting on the ''s-news'' mailing list. On 5 December 1997, R became a GNU project when version 0.60 was released. On 29 February 2000, the 1.0 version was released.

Packages

R packages are collections of functions, documentation, and data that expand R. For example, packages can add reporting features (using packages such as RMarkdown, Quarto, knitr, and Sweave) and support for various statistical techniques (such as linear, generalized linear and nonlinear modeling, classical statistical tests, spatial analysis, time-series analysis, and clustering). Ease of package installation and use have contributed to the language's adoption in data science.

Immediately available when starting R after installation, base packages provide the fundamental and necessary syntax and commands for programming, computing, graphics production, basic arithmetic, and statistical functionality.

An example is the tidyverse collection of R packages, which bundles several subsidiary packages to provide a common API. The collection specializes in tasks related to accessing and processing " tidy data", which are data contained in a two-dimensional table with a single row for each observation and a single column for each variable.

Installing a package occurs only once. For example, to install the tidyverse collection:

> install.packages("tidyverse")

To load the functions, data, and documentation of a package, one calls the library() function. To load the tidyverse collection, one can execute the following code:

> # The package name can be enclosed in quotes
> library("tidyverse")

> # But the package name can also be used without quotes
> library(tidyverse)

The Comprehensive R Archive Network (CRAN) was founded in 1997 by Kurt Hornik and Friedrich Leisch to host R's source code, executable files, documentation, and user-created packages. CRAN's name and scope mimic the Comprehensive TeX Archive Network (CTAN) and the Comprehensive Perl Archive Network (CPAN). CRAN originally had only three mirror sites and twelve contributed packages. , it has 99 mirrors and 21,513 contributed packages. Packages are also available in repositories such as R-Forge, Omegahat, and GitHub.

To provide guidance on the CRAN web site, it
Task Views
area lists packages that are relevant for specific topics; sample topics include causal inference, finance, genetics, high-performance computing, machine learning, medical imaging, meta-analysis, social sciences, and spatial statistics.

The Bioconductor project provides packages for genomic data analysis, complementary DNA, microarray, and high-throughput sequencing methods.

Community

There are three main groups that help support R software development:

* The R Core Team was founded in 1997 to maintain the R source code.
* The R Foundation for Statistical Computing was founded in April 2003 to provide financial support.
* The R Consortium is a Linux Foundation project to develop R infrastructure.

''The R Journal'' is an open access, academic journal that features short to medium-length articles on the use and development of R. The journal includes articles on packages, programming tips, CRAN news, and foundation news.

The R community hosts many conferences and in-person meetups. These groups include:

* UseR!: an annual international R user conference
website

* Directions in Statistical Computing (DSC)
website

* R-Ladies: an organization to promote gender diversity in the R community
website

* SatRdays: R-focused conferences held on Saturdays
website

* R Conference
website

* posit::conf (formerly known as rstudio::conf)
website

On social media sites such as Twitter, the hashtag #rstats can be used to follow new developments in the R community.

Examples

Hello, World!

The following is a "Hello, World!" program:
> print("Hello, World!")
[1] "Hello, World!"Here is an alternative version, which uses the cat() function:
> cat("Hello, World!")
Hello, World!

Basic syntax

The following examples illustrate the basic programming language syntax, syntax of the language and use of the command-line interface.

In R, the generally preferred Assignment (computer science), assignment operator is an arrow made from two characters <-, although = can be used in some cases.

> x <- 1:6 # Create a numeric vector in the current environment
> y <- x^2 # Similarly, create a vector based on the values in x.
> print(y) # Print the vector’s contents.
[1] 1 4 9 16 25 36

> z <- x + y # Create a new vector that is the sum of x and y
> z # Return the contents of z to the current environment.
[1] 2 6 12 20 30 42

> z_matrix <- matrix(z, nrow = 3) # Create a new matrix that transforms the vector z into a 3x2 matrix object
> z_matrix
[,1] [,2]
[1,] 2 20
[2,] 6 30
[3,] 12 42

> 2 * t(z_matrix) - 2 # Transpose the matrix; multiply every element by 2; subtract 2 from each element in the matrix; and then return the results to the terminal.
[,1] [,2] [,3]
[1,] 2 10 22
[2,] 38 58 82

> new_df <- data.frame(t(z_matrix), row.names = c("A", "B")) # Create a new dataframe object that contains the data from a transposed z_matrix, with row names 'A' and 'B'
> names(new_df) <- c("X", "Y", "Z") # Set the column names of the new_df dataframe as X, Y, and Z.
> print(new_df) # Print the current results.
X Y Z
A 2 6 12
B 20 30 42

> new_df$Z # Output the Z column
[1] 12 42

> new_df$Z

new_df['Z'] && new_df[3]

new_df$Z # The dataframe column Z can be accessed using the syntax $Z, ['Z'], or [3], and the values are the same.
[1] TRUE

> attributes(new_df) # Print information about attributes of the new_df dataframe
$names
[1] "X" "Y" "Z"

$row.names
[1] "A" "B"

$class
[1] "data.frame"

> attributes(new_df)$row.names <- c("one", "two") # Access and then change the row.names attribute; this can also be done using the rownames() function
> new_df
X Y Z
one 2 6 12
two 20 30 42

Structure of a function

R is able to create Function (computer programming), functions that add new functionality for code reuse. Object (computer science), Objects created within the body of the function (which are enclosed by curly brackets) remain Local variable, accessible only from within the function, and any data type may be returned. In R, almost all functions and all user-defined functions are closure (computer programming), closures.

The following is an example of creating a function to perform an arithmetic calculation:
# The function's input parameters are x and y.
# The function, named f, returns a linear combination of x and y.
f <- function(x, y)

# As an alternative, the last statement executed in a function is returned implicitly.
f <- function(x, y) 3 * x + 4 * y

The following is some output from using the function defined above:

> f(1, 2) # 3 * 1 + 4 * 2 = 3 + 8
[1] 11

> f(c(1, 2, 3), c(5, 3, 4)) # Element-wise calculation
[1] 23 18 25

> f(1:3, 4) # Equivalent to f(c(1, 2, 3), c(4, 4, 4))
[1] 19 22 25

It is possible to define functions to be used as Infix notation, infix operators by using the special syntax `%name%`, where "name" is the function variable name:

> `%sumx2y2%` <- function(e1, e2)
> 1:3 %sumx2y2% -(1:3)
[1] 2 8 18

Since R version 4.1.0, functions can be written in a short notation, which is useful for passing anonymous functions to higher-order functions:

> sapply(1:5, \(i) i^2) # here \(i) is the same as function(i)
[1] 1 4 9 16 25

Native pipe operator

In R version 4.1.0, a native Pipeline (computing), pipe operator, , >, was introduced. This operator allows users to chain functions together, rather than using nested function calls.

> nrow(subset(mtcars, cyl

4)) # Nested without the pipe character
[1] 11

> mtcars , > subset(cyl

4) , > nrow() # Using the pipe character
[1] 11

Another alternative to nested functions is the use of intermediate objects, rather than the pipe operator:

> mtcars_subset_rows <- subset(mtcars, cyl

4)
> num_mtcars_subset <- nrow(mtcars_subset_rows)
> print(num_mtcars_subset)
[1] 11
While the pipe operator can produce code that is easier to read, it is advisable to chain together at most 10-15 lines of code using this operator, as well as to chunk code into Task (project management), sub-tasks that are saved into objects having meaningful names.

The following is an example having fewer than 10 lines, which some readers may find difficult to grasp in the absence of intermediate named steps:(\(x, n = 42, key = c(letters, LETTERS, " ", ":", ")"))
strsplit(x, "")1 , >
(Vectorize(\(chr) which(chr

key) - 1))() , >
(`+`)(n) , >
(`%%`)(length(key)) , >
(\(i) key[i + 1])() , >
paste(collapse = "")
)("duvFkvFksnvEyLkHAErnqnoyr")The following is a version of the preceding code that is easier to read:
default_key <- c(letters, LETTERS, " ", ":", ")")

f <- function(x, n = 42, key = default_key)

f("duvFkvFksnvEyLkHAErnqnoyr")

Object-oriented programming

The R language has native support for object-oriented programming. There are two native Application framework, frameworks, the so-called S3 and S4 systems. The former, being more informal, supports single dispatch on the first argument, and objects are assigned to a class simply by setting a "class" attribute in each object. The latter is a system like the CLOS, Common Lisp Object System (CLOS), with formal classes (also derived from S (programming language)#S4, S) and generic methods, which supports multiple dispatch and multiple inheritance

In the example below, summary() is a generic function that dispatches to different methods depending on whether its Argument of a function, argument is a numeric Vector (mathematics and physics), vector or a ''factor'':

> data <- c("a", "b", "c", "a", NA)
> summary(data)
Length Class Mode
5 character character
> summary(as.factor(data))
a b c NA's
2 1 1 1

Modeling and plotting

The R language has built-in support for data modeling and graphics. The following example shows how R can generate and plot a linear model with residuals.

# Create x and y values
x <- 1:6
y <- x^2

# Linear regression model: y = A + B * x
model <- lm(y ~ x)

# Display an in-depth summary of the model
summary(model)

# Create a 2-by-2 layout for figures
par(mfrow = c(2, 2))

# Output diagnostic plots of the model
plot(model)

The output from the summary() function in the preceding code block is as follows:

Residuals:
1 2 3 4 5 6 7 8 9 10
3.3333 -0.6667 -2.6667 -2.6667 -0.6667 3.3333

Coefficients:
Estimate Std. Error t value Pr(>, t, )
(Intercept) -9.3333 2.8441 -3.282 0.030453 *
x 7.0000 0.7303 9.585 0.000662 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 3.055 on 4 degrees of freedom
Multiple R-squared: 0.9583, Adjusted R-squared: 0.9478
F-statistic: 91.88 on 1 and 4 DF, p-value: 0.000662

Mandelbrot set

This example of a Mandelbrot set highlights the use of complex numbers. It models the first 20 iterations of the equation z = z2 + c, where c represents different Complex number, complex constants.

To run this sample code, it is necessary to first install the package that provides the write.gif() function:

install.packages("caTools")

The sample code is as follows:
library(caTools)

jet.colors <-
colorRampPalette(
c("green", "pink", "#007FFF", "cyan", "#7FFF7F",
"white", "#FF7F00", "red", "#7F0000"))

dx <- 1500 # define width
dy <- 1400 # define height

C <-
complex(
real = rep(seq(-2.2, 1.0, length.out = dx), each = dy),
imag = rep(seq(-1.2, 1.2, length.out = dy), times = dx)
)

# reshape as matrix of complex numbers
C <- matrix(C, dy, dx)

# initialize output 3D array
X <- array(0, c(dy, dx, 20))

Z <- 0

# loop with 20 iterations
for (k in 1:20)

write.gif(
X,
"Mandelbrot.gif",
col = jet.colors,
delay = 100)

Version names

All R version releases from 2.14.0 onward have Code name, codenames that make reference to Peanuts comics and films.

In 2018, core R developer Peter Dalgaard presented a history of R releases since 1997. Some notable early releases before the named releases include the following:

* Version 1.0.0, released on 29 February 2000, a Leap days, leap day
* Version 2.0.0, released on 4 October 2004, "which at least had a nice ring to it"

The idea of naming R version releases was inspired by the naming system for Debian version history, Debian and Ubuntu version history, Ubuntu versions. Dalgaard noted an additional reason for the use of Peanuts references in R codenames—the humorous observation that "everyone in statistics is a P-value, P-nut."

Interfaces

R is installed with a Command-line interface, command line console by default, but there are multiple ways to interface with the language:

* Integrated development environment, Integrated development environment (IDE):
** R.app (OSX/macOS only)
** Rattle GUI
** R Commander
** RKWard
** RStudio
** Tinn-R
* General-purpose IDEs:
** Eclipse (software), Eclipse via th
StatET plugin
** Microsoft Visual Studio, Visual Studio via R Tools for Visual Studio.
* Source-code editor, Source-code editors:
** Emacs Speaks Statistics, Emacs
** Vim (text editor), Vim via th
Nvim-R plugin
** Kate (text editor), Kate
** LyX via Sweave
** WinEdt
website

** Jupyter
website

* Other scripting languages:
** Python (programming language), Python
website

** Perl
website

** Ruby (programming language), Ruby
source code

** F Sharp (programming language), F#
website

** Julia (programming language), Julia
source code
.
* General-purpose programming languages:
** Java (programming language), Java via th
Rserve socket server
** C Sharp (programming language), .NET C#
website

Statistical frameworks that use R in the background include Jamovi and JASP.

Implementations

The main R implementation is written primarily in C, Fortran, and R itself. Other implementations include the following:

pretty quick R
(pqR), by Radford M. Neal, which attempts to improve memory management.
* Renjin for the Java virtual machine, Java Virtual Machine.

CXXR
and Riposte written in C++.
* Oracle Corporation, Oracle's]
FastR
built o
GraalVM

* TIBCO Software, TIBCO Enterprise Runtime for R (TERR) to integrate with Spotfire. (The company also created S-PLUS, S-Plus, an implementation of the S language.)

Microsoft R Open (MRO) was an R implementation. As of 30 June 2021, Microsoft began to phase out MRO in favor of the CRAN distribution.

Commercial support

Although R is an open-source project, some companies provide commercial support:
* Oracle Corporation, Oracle provides commercial support for its Oracle Big Data Appliance, Big Data Appliance, which integrates R into its other products.
* IBM provides commercial support for execution of R within Hadoop.

See also

* Comparison of numerical-analysis software
* Comparison of statistical packages
* List of numerical-analysis software
* List of statistical software
* Rmetrics

Notes

References

Further reading

*
*

External links

R Technical Papers

Big Book of R
curated list of R-related programming books


partially annotated curated list of books relating to R or S.

{{Authority control

R (programming language),
Array programming languages
Cross-platform free software
Data mining and machine learning software
Data-centric programming languages
Dynamically typed programming languages
Free plotting software
Free statistical software
Functional languages
GNU Project software
Literate programming
Numerical analysis software for Linux
Numerical analysis software for macOS
Numerical analysis software for Windows
Programming languages created in 1993
Science software
Statistical programming languages
Articles with example R code