Distance Method Formulas | JMP 13.2

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Multivariate Methods • Hierarchical Cluster • Statistical Details • Distance Method Formulas

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Distance Method Formulas

This section provides the formulas used in calculating distances based on the Method that you select on the launch window. For a description of the methods, see Method for Distance Calculation.

The formulas use the following notation, where lowercase symbols generally pertain to observations and uppercase symbols to clusters:

n is the number of observations

v is the number of variables

xi is the ith observation

CK is the Kth cluster, subset of {1, 2,..., n}

NK is the number of observations in CK

x is the sample mean vector

xK is the mean vector for cluster CK

is the square root of the sum of the squares of the elements of x (the Euclidean length of the vector x)

d(xi, xj) is

Average Linkage

Distance for the average linkage cluster method is:

Centroid Method

Distance for the centroid method of clustering is:

Distance for Ward’s method is:

Distance for the single linkage cluster method is:

Complete Linkage

Distance for the Complete linkage cluster method is:

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Help created on 9/19/2017