Inter-rater reliability measures the consistency between two or more raters. It indicates the degree of agreement among independent observers.
The formula for inter-rater reliability, expressed as a percentage of agreement, is:
$ \text{Reliability} = \left( \frac{\text{Number of Agreements}}{\text{Total Observations}} \right) \times 100\% $
Given:
First, calculate the number of agreements:
$ \text{Number of Agreements} = \text{Total Observations} - \text{Number of Disagreements} $
$ \text{Number of Agreements} = 75 - 15 = 60 $
Next, substitute the values into the reliability formula:
$ \text{Reliability} = \left( \frac{60}{75} \right) \times 100\% $
Simplify the fraction:
$ \frac{60}{75} = \frac{4 \times 15}{5 \times 15} = \frac{4}{5} $
Calculate the percentage:
$ \text{Reliability} = \frac{4}{5} \times 100\% = 0.8 \times 100\% = 80\% $
The inter-rater reliability is 80%.