Dice-Coefficient

This function calculates the Dice coefficient or index. The Dice coefficient or Dice index is a measure of the similarity of sets. It is used as a measure of similarity for sets, vectors and for objects in general.

To calculate, enter a series of x /y pairs (vectors). The individual numbers are separated by semicolons or spaces. Then click on the 'Calculate' button.

Formula for the Dice Coefficient

\(\displaystyle Coefficient= \frac{2×|A∩B|}{|A|+|B|}\)

\(\displaystyle Distanz= 1-Coefficient\)

Example

Dice coefficient of the sets \(\displaystyle A=\{1,2,3,4,5\}\) and \(\displaystyle B=\{4,5,6,7,8\}\)

\(\displaystyle C= \frac{2×|\{4,5\}|} {|\{1,2,3,4,5\}|+\{4,5,6,7,8\}} =\frac{4}{10}=0.4\)