Simple matching coefficient

The Simple Matching Coefficient (SMC) is a statistic used for comparing the similarity and diversity of sample sets.

Given two objects, A and B, each with n binary attributes, SMC is defined as:

$SMC={{NumberofMatchingAttributes} \over {NumberofAttributes}}={{M_{00}+M_{11}} \over {M_{00}+M_{01}+M_{10}+M_{11}}}$

Where:

$M_{11}$ represents the total number of attributes where A and B both have a value of 1.

$M_{01}$ represents the total number of attributes where the attribute of A is 0 and the attribute of B is 1.

$M_{10}$ represents the total number of attributes where the attribute of A is 1 and the attribute of B is 0.

$M_{00}$ represents the total number of attributes where A and B both have a value of 0.

See also

• Jaccard index