What Is Simple Matching Coefficient

Common properties of dissimilarity measures.

What is simple matching coefficient.

It does not impose any weights. Each attribute must fall into one of these four categories meaning that. D p r d p q d q r for all p q and r where d p q is the distance dissimilarity between points data objects p and q. D p q 0 for all p and q and d p q 0 if and only if p q.

Difference with the simple matching coefficient smc when used for binary attributes the jaccard index is very similar to the simple matching coefficient the main difference is that the smc has the. Given two objects a and b each with n binary attributes smc is defined as. Simple matching coefficient simple matching coefficient and simple matching distance are useful when both positive and negative values carried equal information symmetry. In statistics the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot.

For example gender male and female has symmetry attribute because number of male and female give equal information. The value of r is always between 1 and 1. The jaccard similarity coefficient j is given as. By a given variable it assigns the value 1 in case of match and value 0 otherwise.

Distance such as the euclidean distance is a dissimilarity measure and has some well known properties. Simple matching coefficient and cohen s kappa computes the values of or the distance based on the simple matching coefficient or cohen s kappa respectively for each pair of rows of a matrix. The simple matching coefficient sokal 1958 represents the simplest way of measuring similarity. To interpret its value see which of the following values your correlation r is closest to.

Use the function table and calculate the simple matching coefficient smc between nopriordefault and approved. Simple matching coefficient jaccard coefficient cosine and edit similarity measures cluster validation hierarchical clustering single link complete link average link cobweb algorithm sections 8 3 and 8 4 of course book section 2 4 of course book section 8 5 of course book tnm033. The simple matching coefficient smc or rand similarity coefficient is a statistic used for comparing the similarity and diversity of sample sets. Introduction to data mining.

The jaccard distance d j is given as.