The formula to calculate the Jaccard Coefficient (JC) is:
\[ JC = \frac{Ni}{Na + Nb - Ni} \]
Where:
The Jaccard Coefficient is a measure of similarity between two sets. It is calculated by dividing the number of intersecting elements by the total number of elements in both sets, minus the number of intersecting elements. This metric is used in various fields such as ecology, biology, and information retrieval to compare the similarity and diversity of sample sets.
Let's consider an example:
Using the formula to calculate the Jaccard Coefficient:
\[ JC = \frac{5}{10 + 15 - 5} = \frac{5}{20} = 0.25 \]
This demonstrates that with Na of 10, Nb of 15, and Ni of 5, the Jaccard Coefficient would be 0.25.
