# Statistical Analysis: an Introduction using R/R/Functions

Apart from numbers, perhaps the most useful named objects in R are

Input:**functions**. Nearly everything useful that you will do in R is carried out using a function, and many are available in R by default. You can use (or "call") a function by typing its name followed by a pair of round brackets. For instance, the start up text mentions the following function, which you might find useful if you want to reference R in published work:`citation()`

> citation()
To cite R in publications use:
R Development Core Team (2008). R: A language and environment for statistical computing. R Foundation for Statistical
Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.
A BibTeX entry for LaTeX users is
@Manual{,
url = {http://www.R-project.org},
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2008},
note = {{ISBN} 3-900051-07-0},
}
We have invested a lot of time and effort in creating R, please cite it when using it for data analysis. See also
‘citation("pkgname")’ for citing R packages.

Many R functions can produce results which differ depending on

Input:**arguments**that you provide to them. Arguments are placed inside the round brackets, separated by commas. Many functions have one or more*optional*arguments: that is, you can choose whether or not to provide them. An example of this is the`citation()`

function. It can take an optional argument giving the name of an R add-on package. If you do not provide an optional argument, there is usually an assumed default value (in the case of `citation()`

, this default value is `"base"`

, i.e. provide the citation reference for the base package: the package which provides most of the foundations of the R language).
Most arguments to a function are *named*. For example, the first argument of the citation function is named *package*. To provide extra clarity, when using a function you can provide arguments in the longer form *name=value*. Thus

citation("base")

does the same as

citation(package="base")If a function can take more than one argument, using the long form also allows you to change the order of arguments, as shown in the example code below.

```
citation("base") #Does the same as citation(), because the default for the first argument is "base"
#Note: quotation marks are needed in this particular case (see discussion below)
citation("datasets") #Find the citation for another package (in this case, the result is very similar)
sqrt(25) #A different function: "sqrt" takes a single argument, returning its square root.
sqrt(25-9) #An argument can contain arithmetic and so forth
sqrt(25-9)+100 #The result of a function can be used as part of a further analysis
max(-10, 0.2, 4.5) #This function returns the maximum value of all its arguments
sqrt(2 * max(-10, 0.2, 4.5)) #You can use results of functions as arguments to other functions
x <- sqrt(2 * max(-10, 0.2, 4.5)) + 100 #... and you can store the results of any of these calculations
x
log(100) #This function returns the logarithm of its first argument
log(2.718282) #By default this is the natural logarithm (base "e")
log(100, base=10) #But you can change the base of the logarithm using the "base" argument
log(100, 10) #This does the same, because "base" is the second argument of the log function
log(base=10, 100) #To have the base as the first argument, you have to use the form name=value
```

> citation("base") #Does the same as citation(), because the default for the first argument is "base"
To cite R in publications use:
R Development Core Team (2008). R: A language and environment for statistical computing. R Foundation for
Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.
A BibTeX entry for LaTeX users is
@Manual{,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2008},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
We have invested a lot of time and effort in creating R, please cite it when using it for data analysis. See also
‘citation("pkgname")’ for citing R packages.
> #Note: quotation marks are needed in this particular case (see discussion below)
> citation("datasets") #Find the citation for another package (in this case, the result is very similar)
The 'datasets' package is part of R. To cite R in publications use:
R Development Core Team (2008). R: A language and environment for statistical computing. R Foundation for
Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.
A BibTeX entry for LaTeX users is
@Manual{,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2008},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
We have invested a lot of time and effort in creating R, please cite it when using it for data analysis. See also
‘citation("pkgname")’ for citing R packages.
> sqrt(25) #A different function: "sqrt" takes a single argument, returning its square root.
[1] 5
> sqrt(25-9) #An argument can contain arithmetic and so forth
[1] 4
> sqrt(25-9)+100 #The result of a function can be used as part of a further analysis
[1] 104
> max(-10, 0.2, 4.5) #This function returns the maximum value of all its arguments
[1] 4.5
> sqrt(2 * max(-10, 0.2, 4.5)) #You can use results of functions as arguments to other functions
[1] 3
> x <- sqrt(2 * max(-10, 0.2, 4.5)) + 100 #... and you can store the results of any of these calculations
> x
[1] 103
> log(100) #This function returns the logarithm of its first argument
[1] 4.60517
> log(2.718282) #By default this is the natural logarithm (base "e")
[1] 1
> log(100, base=10) #But you can change the base of the logarithm using the "base" argument
[1] 2
> log(100, 10) #This does the same, because "base" is the second argument of the log function
[1] 2
> log(base=10, 100) #To have the base as the first argument, you have to use the form name=value
[1] 2

Note that when typing normal text (as in the name of a package), it needs to be surrounded by quotation marks

^{[1]}, to avoid confusion with the names of objects. In other words, in Rcitation

refers to a function, whereas

"citation"

is a "string" of text. This is useful, for example when providing titles for plots, etc.

You will probably find that one of the trickiest aspects of getting to know R is knowing which function to use in a particular situation. Fortunately, R not only provides documentation for all its functions, but also ways of searching through the documentation, as well as other ways of getting help.

## Notes

edit- ↑ you can use either single (') or double (") quotes to delimit text strings, as long as the start and end quotes match