Enter the difference of the means of two sets and the standard error of difference into the Critical Ratio Calculator. The calculator will evaluate and display the Critical Ratio. 

Critical Ratio Formula

The following formula is used to calculate the Critical Ratio. 

CRC = M / SE
  • Where CRC is the Critical Ratio
  • M is the difference of the means of two sets 
  • SE is the standard error of difference 

To calculate the critical ratio, divide the difference between the means of the sets, then divide by the standard error of difference.

How to Calculate Critical Ratio?

The following example problems outline how to calculate Critical Ratio.

Example Problem #1:

  1. First, determine the difference of the means of two sets.
    • The difference of the means of two sets is given as: 5.
  2. Next, determine the standard error of difference.
    • The standard error of difference is provided as: 2.5.
  3. Finally, calculate the Critical Ratio using the equation above: 

CRC = M / SE

The values given above are inserted into the equation below and the solution is calculated:

CRC = 5 / 2.5 = 2.00


Example Problem #2: 

For this problem, the variables required are provided below:

difference of the means of two sets = 6

standard error of difference = 4.3

Test your knowledge using the equation and check your answer with the calculator above.

CRC = M / SE = ?