Cohen's Kappa Statistic/Examples

Examples of Use of Cohen's Kappa Statistic

Medical Diagnosis

Let there be $80$ patients claiming to suffer from depression

Let there be $2$ doctors who are to assess whether or not it is appropriate to treat each patient with a particular antidepressant drug.

In $32$ cases, both agree that treatment is appropriate.

In $35$ cases, both agree that treatment is not appropriate.

In the remaining $13$ cases, they disagree: one doctor believes treatment is appropriate, while the other does not.

Then Cohen's kappa statistic $\kappa$ is evaluated to be:

$\kappa = 0 \cdotp 675$