R - Statistical Functions


 

RStudio Code

Examples

Function

x = 1:10

> x = 1:10
> x
 [1]  1  2  3  4  5  6  7  8  9 10

 

Creates a sequence x from 1 to 10

length(x)

> x = c(1, 4, 7, 3, 9)
> length(x)
[1] 5

 

Number of values in dataset x

max(x)

> x = c(1, 10, 20, 50, 100)
> max(x)
[1] 100

 

Largest number in dataset x

min(x)

> x = c(1, 10, 20, 50, 100)
> min(x)
[1] 1

 

Smallest number in dataset x

mean(x)

> x = c(1, 10, 20, 50, 100)
> mean(x)
[1] 36.2

 

Mean

median (x)

> x = c(1, 10, 20, 50, 100)
> median(x)
[1] 20

 

Median

sd(x)

> x = c(1, 10, 20, 50, 100)
> sd(x)
[1] 40.15221

 

Standard Deviation

var(x)

> x = c(1, 10, 20, 50, 100)
> var(x)
[1] 1612.2

 

Variance

range(x)

> x = c(1, 10, 20, 50, 100)
> range(x)
[1]   1 100

 

Range

cor(x, y)

> x = c(1, 10, 20, 50, 100)
> y = c(1, 2, 3, 4, 5)
> cor(x, y)
[1] 0.9372113

 

Correlation

sum(x)

> x = c(1, 10, 20, 50, 100)
> sum(x)
[1] 181

 

Sum of numbers in dataset x

cumsum(x)

> x = c(1, 10, 20, 50, 100)
> cumsum(x)
[1]   1  11  31  81 181

 

Cumulative sum of numbers in x

prod(x)

> x = c(1, 3, 5, 7, 9)
> prod(x)
[1] 945

 

Product of numbers in dataset x

cumprod(x)

> x = c(1, 3, 5, 7, 9)
> cumprod(x)
[1]   1   3  15 105 945

 

Cumulative product of numbers in x

diff(x)

> x = c(1, 3, 5, 7, 9)
> diff(x)
[1] 2 2 2 2

 

Differences in numbers in dataset x

summary(x)

> x = c(1, 3, 5, 7, 9)
> summary(x)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
      1       3       5       5       7       9 

 

Summary of dataset: minimum, first quartile, median, mean, third quartile, maximum

fivenum(x)

> x = c(1, 3, 5, 7, 9)
> fivenum(x)
[1] 1 3 5 7 9

 

Minimum, first quartile, median, third quartile, maximum of dataset

quantile(x, 0.25)

> x = c(1, 3, 5, 7, 9)
> quantile(x, 0.75)
75% 
  7 

 

Calculates numbers associated with certain percentiles (e.g. 25%)

IQR(x)

> x = c(1, 3, 5, 7, 9)
> IQR(x)
[1] 4

 

Interquartile range of x

weighted.mean(x, w)

> x = c(1, 3, 5, 7, 9)
> w = c(5, 8, 3, 6, 10)
> weighted.mean(x, w)
[1] 5.5

 

Weighted mean where x is set of values and w is set of weights for each number in x  

rank(x)

> x = c(10, 4, 6, 2, 8, 20)
> rank(x)
[1] 5 2 3 1 4 6

 

Rank of each number in dataset x

union(x, y)

> x = c(10, 4, 6, 2, 8, 20)
> y = c(10, 2, 12, 14, 18, 36)
> union(x, y)
 [1] 10  4  6  2  8 20 12 14 18 36

 

Union of 2 datasets x and y

intersect(x, y)

> x = c(10, 4, 6, 2, 8, 20)
> y = c(10, 2, 12, 14, 18, 36)
> intersect(x, y)
[1] 10  2

 

Intersection of 2 datasets x and y

 

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.