Simple matching coefficient

The Simple Matching Coefficient (SMC) is a statistic used for comparing the similarity and diversity of sample sets.^[1]

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

$SMC = {\text{Number of Matching Attributes}\over \text{Number of Attributes}} = {{M_{00}+M_{11}}\over{M_{00}+M_{01}+M_{10}+M_{11}}}$

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

Notes

1. http://mines.humanoriented.com/classes/2010/fall/csci568/portfolio_exports/sdaugherty/similarity.html