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Instruments for Cluster Analysis

Similarity

Since our main job here is to decide cluster formation of a sample data set, we first have to measure the similarity. The most apparent answer for this question is to select distance metric d, where d can be defined in many ways. Here are some of the best known distance measures.

Minkoski metric

Euclidean metric

Manhattan metric

Mahalanobis Distance
 

Criterion functions for Clustering

As pointed out before, every algorithm has criterion or cost function that is to be optimized. Every clustering may have different outcomes depending on the objective function. Determinant criterion and invariant criterion are the criteria that serve for different clustering techniques.