# Jaccard / Tanimoto coefficient

This online calculator measures the similarity of two sample sets using the Jaccard / Tanimoto coefficient

### This page exists due to the efforts of the following people:

#### Karen Luckhurst

Created: 2011-11-15 21:43:42, Last updated: 2020-12-18 12:30:52

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The Jaccard / Tanimoto coefficient is one of the metrics used to compare the similarity and diversity of sample sets. It uses the ratio of the intersecting set to the union set as the measure of similarity. Thus it equals to zero if there are no intersecting elements and equals to one if all elements intersect.

The equation for the Jaccard / Tanimoto coefficient is
$T=\frac{N_c}{N_a+N_b-N_c}$
where
$N_a$ – number of elements in set А
$N_b$ – number of elements in set B
$N_c$ – number of elements in intersecting set

How to use it – enter the elements, separated by a comma, and the calculator outputs the coefficient and intersecting set (for reference)

#### Jaccard / Tanimoto Coefficient

Elements, separated by comma
Elements, separated by comma
Digits after the decimal point: 2
Jaccard / Tanimoto Coefficient

Intersecting set

Number of intersecting elements

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