Enter the relative observed agreement among raters and the hypothetical probability of the chance of agreement into the Calculator. The calculator will evaluate the Cohen’s Kappa Coefficient. 

Cohen’s Kappa Coefficient Formula

k = (po-pe)/(1-pe)

Variables:

  • k is the Cohen’s Kappa Coefficient ()
  • po is the relative observed agreement among raters
  • pe is the hypothetical probability of the chance of agreement

How to Calculate Cohen’s Kappa Coefficient?

The following steps outline how to calculate the Cohen’s Kappa Coefficient.

  1. First, determine the relative observed agreement among raters. 
  2. Next, determine the hypothetical probability of the chance of agreement. 
  3. Next, gather the formula from above = k = (po-pe)/(1-pe).
  4. Finally, calculate the Cohen’s Kappa Coefficient.
  5. 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.

relative observed agreement among raters = 0.89

hypothetical probability of the chance of agreement = 0.34