Cite as: Alfonso Garmendia (2016) R for life sciences. Chapter 2: Operations in R. http://personales.upv.es/algarsal/Documentation/Garmendia-R-Tutorial-02_Operations.html

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Written in Rmarkdown, using Rstudio and pandoc.

# Operations

## Sintax and operators

We have already seen in chapter 1 several operators to address or assign data into and object. We can see a table of operators by precedence order using ?Syntax

\$ , @ :
Address to a component into an objects, by names
[ , [[ :
Indexing components into an object
? :
Help
<- , <<- , = :
Assignment, right to left. The use of = for assignment is not advisable.
~ :
As in formulae (write it with Alt-4, or Alt-Ñ in Spanish keyboard)

### Arithmetic operators

by order of precedence. If the objects are not numeric, they will be coerced into numeric, if possible.

^ :
Exponential
%/% , %% :
Divisor and remainder for a division.
* , / :
Multiply and divide
+ , - :

### Comparison operators

Output will be a Logical or a list of logicals (True - False)

< , > , <= , >= :
Leaser, greater, leaser or equal, greater or equal
== , != :
Equal and different
%in% :
Indicates if there is a match

### Logical operators

! :
Logical NOT
& , && :
Logical AND
| , || :
Logical OR

Let’s see some examples with operators:

#=====================================
#    Some examples with operators
#=====================================
x <- -1:12                    # Create vector
x                             # See vector
x + 1                         # sum 1
2 * x + 3                     # same that (2*x)+3
2 * (x + 3)
x %% 2                        #-- is periodic
x %% 5                        #-- is periodic
x %/% 5
x / 5
###### Logical AND ("&&") has higher precedence than OR ("||"): ######
TRUE || TRUE && FALSE   # is the same as
TRUE || (TRUE && FALSE) # and different from
(TRUE || TRUE) && FALSE

#### Special operators have higher precedence than "!" (logical NOT).
# You can use this for %in% :
1:10 %in% c(2, 3, 5, 7)
! 1:10 %in% c(2, 3, 5, 7)      # same as !(1:10 %in% c(2, 3, 5, 7))
!(1:10 %in% c(2, 3, 5, 7))
# but it is strongly advise to use the "!( ... )" form in this case!

### Some Arithmetical commands

There are too many commands in R to list them all, but some of them are frequently used for calculations.

This commands return a number:

#=====================================
#    Commands that return a number
#=====================================
sum(x)            # sum of the elements of x
prod(x)           # product of the elements of x
max(x)            # maximum of the elements of x
min(x)            # minimum of the elements of x
which.max(x)      # index of the maximum of the elements of x
which.min(x)      # index of the minimum of the elements of x
which(x == 2)     # index of the first element that fits
length(x)         # number of elements in x
mean(x)           # mean of the elements in x
median(x)         # median of the elements in x
var(x)            # variance of the elements in x
sd(x)             # standard deviation of the elements in x
# Sometimes is useful to round the result, for example:
round(sd(x), 2)   # round(x, n) rounds the elements of x to n decimals

An these operations can modify either a number or all the numbers in a vector or a matrix:

#=====================================
#    Commands to modify vectors
#=====================================
log(x, 2)          # logarithm in base 2 ; log(x, base)
sqrt(x)            # Square root of x. (NaN: Not a Number)
#  match (x, y) returns a vector with the elements of x which are in y
match (x, 2)
#  na.omit(x) # supresses the observations with missing data
na.omit(log(x, 2)) # (NA: Not Available)

And of course, it is possible to make combinations of different commands. For example to calculate the standard error (SE) of x, which is:

$\mbox{Standard error} = SE = \frac{\tilde{S}} {\sqrt{n}}$

being $$\tilde{S}$$ the standard deviation of x.

sd(x) / sqrt( length(x) )     # Standard error of x
#     or even
round( sd(x) / sqrt( length(x) ), 2)   # Two decimals rounded SE

## Condicionals and recursive commands

The most used ones are if() and for(). Other control flow commands are while() and repeat(). if() can be used either with of without else. They function in much the same way as control statements in any Algol-like language. Also important the expressions break and next to control the flow.

Braces are not necessary in the same line, but is advisable to use them always because is a frequent source of errors.

Examples:

x <- -1:12                    # Create vector
for(i in 1:5) print(1:i)      # Print numbers
## [1] 1
## [1] 1 2
## [1] 1 2 3
## [1] 1 2 3 4
## [1] 1 2 3 4 5
for(i in 1:5) { print(1:i) }  # Same than before
## [1] 1
## [1] 1 2
## [1] 1 2 3
## [1] 1 2 3 4
## [1] 1 2 3 4 5
##############   example of for with 2^n and print() and paste()
for(i in x) {
y <- 2^i
z <- paste(i, ": ", y, sep = "")     # Design the output
print(z)                             # Output
}
## [1] "-1: 0.5"
## [1] "0: 1"
## [1] "1: 2"
## [1] "2: 4"
## [1] "3: 8"
## [1] "4: 16"
## [1] "5: 32"
## [1] "6: 64"
## [1] "7: 128"
## [1] "8: 256"
## [1] "9: 512"
## [1] "10: 1024"
## [1] "11: 2048"
## [1] "12: 4096"
##############   Same example with if() to alineate variables
for(i in x) {
y <- 2^i                                 # Result
if (i>=10){ z <- paste(i, ": ", y, sep = "") }      # Output
else      { z <- paste(" ", i, ": ", y, sep = "") } # add and space
print(z)                                 # Output
}
## [1] " -1: 0.5"
## [1] " 0: 1"
## [1] " 1: 2"
## [1] " 2: 4"
## [1] " 3: 8"
## [1] " 4: 16"
## [1] " 5: 32"
## [1] " 6: 64"
## [1] " 7: 128"
## [1] " 8: 256"
## [1] " 9: 512"
## [1] "10: 1024"
## [1] "11: 2048"
## [1] "12: 4096"
##############   Same example with several if()
for (i in x) {
y <- 2^i                                 # Result
pa0 <- paste(i, ": ", y, sep = "")       # Design output
pa1 <- paste(" ", i, ": ", y, sep = "")  # add and space
if (i<0)    print(pa0)                   # Output
if (0<=i && i<10) print(pa1)
if (i>=10)  print(pa0)
}
## [1] "-1: 0.5"
## [1] " 0: 1"
## [1] " 1: 2"
## [1] " 2: 4"
## [1] " 3: 8"
## [1] " 4: 16"
## [1] " 5: 32"
## [1] " 6: 64"
## [1] " 7: 128"
## [1] " 8: 256"
## [1] " 9: 512"
## [1] "10: 1024"
## [1] "11: 2048"
## [1] "12: 4096"

# Exercises

1. Open the data frame in iris {datasets}. ¿How many variables and observations are there in iris?

2. Make a vector with the species names

3. Make a vector with the name of all quantitative variables

4. Make a data frame with the combination of the two previous vectors like this:

##            Species     Variable
## 1      Iris setosa Sepal.Length
## 2      Iris setosa  Sepal.Width
## 3      Iris setosa Petal.Length
## 4      Iris setosa  Petal.Width
## 5  Iris versicolor Sepal.Length
## 6  Iris versicolor  Sepal.Width
## 7  Iris versicolor Petal.Length
## 8  Iris versicolor  Petal.Width
## 9   Iris virginica Sepal.Length
## 10  Iris virginica  Sepal.Width
## 11  Iris virginica Petal.Length
## 12  Iris virginica  Petal.Width
1. Make a data frame with 7 variables and 12 rows including the two variables from exercise 4, and also the following statistics:
• the following variables: Species, Variable, Mean, Standard_error, Median, Minimum and Maximum.

• Use the commands seen in this and previous chapter to do the code the shortest and neatest possible. Also comment each step to know what are you doing.