Enter the total score or value and the percentile into the calculator to determine the cutoff value. This calculator can also evaluate any of the variables given the others are known.

## Cutoff Value Formula

The following formula is used to calculate the cutoff value.

CV = (T * p) / (1 - r)

Variables:

• CV is the cutoff value T is the total score or value p is the percentile (decimal) r is the rate of rejection (decimal)

To calculate the cutoff value, multiply the total score or value by the percentile. Then, subtract the rate of rejection from 1. Divide the first result by the second result to get the cutoff value.

## What is a Cutoff Value?

A cutoff value, in the context of statistics and data analysis, is a predetermined threshold used to divide data into two or more classifications. It serves as a decision point or boundary in a test or analysis. For instance, in a medical test, a cutoff value may be used to determine whether a patient’s results are normal or abnormal. The selection of a cutoff value can significantly impact the results and conclusions drawn from the analysis.

## How to Calculate Cutoff Value?

The following steps outline how to calculate the Cutoff Value.

1. First, determine the total score or value (T).
2. Next, determine the percentile (p) as a decimal.
3. Next, determine the rate of rejection (r) as a decimal.
4. Next, gather the formula from above = CV = (T * p) / (1 – r).
5. Finally, calculate the Cutoff Value.
6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

total score or value (T) = 80

percentile (p) = 0.75

rate of rejection (r) = 0.2