By using standard error formula

Method 1 : Using sd() function with length function

Method 3 : Using std.error() function( plotrix package)

Here we will use the standard error formula for getting the observations.

Syntax: sqrt(sum((a-mean(a))^2/(length(a)-1)))/sqrt(length(a))

where

data is the input data

sqrt function is to find the square root

sum is used to find the sum of elements in the data

mean is the function used to find the mean of the data

length is the function used to return the length of the data

Example: R program to calculate the standard error using formula

R

# consider a vector with 10 elements
a <- c(179, 160, 136, 227, 123, 23,
       45, 67, 1, 234)
 
# calculate standard error
print(sqrt(sum((a - mean(a)) ^ 2/(length(a) - 1)))
      /sqrt(length(a)))

Output:

[1] 26.20274

Calculate Standard Error in R

In this article, we are going to see how to calculate standard error in R Programming Language.

Mathematically we can calculate standard error by using the formula:

standard deviation/squareroot(n)

In R Language, we can calculate in these ways:

Using sd() function with length function
By using the standard error formula.
Using plotrix package.

Tags:

#R-Statistics #R Language