Arcsine Transformation in Excel (With Examples)


An arcsine transformation can be used to “stretch out” data points that range between the values 0 and 1.

This type of transformation is typically used when dealing with proportions and percentages.

We can use the following formula to perform an arcsine transformation in Excel:

#perform arcsine transformation on value in cell A1
=ASIN(SQRT(A1))

The following examples shows how to perform an arcsine transformation on datasets in Excel.

Example 1: Arcsine Transformation of Values in Range 0 to 1

Suppose we have the following dataset in Excel:

We can use the following formula to perform an arcsine transformation on the value in cell A2:

Arcsine transformation in Excel

We can then hover over the bottom right corner of cell A2 until a tiny plus sign “+” appears, then double click it to copy and paste the arcsine formula down to every cell in column B:

Example 2: Arcsine Transformation of Values Outside Range 0 to 1

Note that the arcsine transformation only works on values between the range of 0 to 1. So, if we have a vector with values outside of this range then we need to first convert each value to be in the range of 0 to 1.

For example, suppose we have the following dataset in Excel:

Before we perform an arcsine transformation on the values, we must first divide each value by the max value in the dataset:

Now each value in the dataset ranges between 0 and 1. We can then perform an arcsine transformation on the values in column B:

Additional Resources

How to Transform Data in Excel (Log, Square Root, Cube Root)
How to Perform a Box-Cox Transformation in Excel
How to Find the Antilog of Values in Excel

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