To calculate the Kappa Index (KI):
\[ KI = \frac{P_0 - P_e}{1 - P_e} \]
Where:
The Kappa Index (KI) is a statistical measure that quantifies the level of agreement between two raters or methods, taking into account the possibility of agreement occurring by chance. It is often used in the fields of social sciences, healthcare, and machine learning to evaluate the consistency and reliability of categorical assessments. The Kappa Index ranges from -1 to 1, where 1 indicates perfect agreement, 0 indicates no agreement beyond chance, and negative values indicate disagreement.
Let's assume the following values:
Using the formula:
Step 1: Calculate the difference between \(P_0\) and \(P_e\):
\[ P_0 - P_e = 0.85 - 0.6 = 0.25 \]
Step 2: Calculate \(1 - P_e\):
\[ 1 - P_e = 1 - 0.6 = 0.4 \]
Step 3: Calculate the Kappa Index:
\[ KI = \frac{0.25}{0.4} \approx 0.625 \]
The Kappa Index is approximately 0.625.
Let's assume the following values:
Using the formula:
Step 1: Calculate the difference between \(P_0\) and \(P_e\):
\[ P_0 - P_e = 0.7 - 0.5 = 0.2 \]
Step 2: Calculate \(1 - P_e\):
\[ 1 - P_e = 1 - 0.5 = 0.5 \]
Step 3: Calculate the Kappa Index:
\[ KI = \frac{0.2}{0.5} = 0.4 \]
The Kappa Index is 0.4.
