How to Perform Arcsine Transformation in R?

In this article, we will discuss how to perform arcsine transformation in R programming language.

Arcsine transformation is used to extend the  data points in the range of 0 -1

Syntax:

asin(sqrt(data))

where, data belongs to range of values from 0 to 1

Arcsine Transformation of Values in Range 0 to 1

Here we are going to create a vector with values between the given range and perform the arcsine transformation.

Example: Arcsine Transformation

R

# create a vector with 8 elements
data=c(0.3,0.2,0.4,0.5,0.6,0.7,0.8,0.34)

# display vector
print(data)

# arcsine of the vector
print(asin(sqrt(data)))

Output:

[1] 0.30 0.20 0.40 0.50 0.60 0.70 0.80 0.34

[1] 0.5796397 0.4636476 0.6847192 0.7853982 0.8860771 0.9911566 1.1071487

[8] 0.6225334

Arcsine Transformation of Values in DataFrame

Here we are going to consider the dataframe to get arcsine transformation of the dataframe

Example: Arcsine Transformation

R

# create a dataframe with 3 columns
data=data.frame(col1=c(0.3,0.2,0.4),
                col2=c(0.45,0.67,0.612),
                col3=c(0.35,0.92,0.84))

# display
print(data)

# arcsine of the column1
print(asin(sqrt(data$col1)))

# arcsine of the column3
print(asin(sqrt(data$col3)))

Output:

Arcsine Transformation of Values Outside Range 0 to 1

Here if the values are not in the range of 0 to 1, we have to convert them in the range of 0 to 1. We can do this by dividing all the values to the maximum value in the data.

Syntax:

data_values / max(data)

Example: Transform in the range of values in the vector

R

# create a vector with 8 elements
data=c(23,45,32,2,34,21,22,67)

# convert it in range of 0 to 1
final=data/ max(data)

# display vector
print(final)

# arcsine of the vector
print(asin(sqrt(final)))

Output: