Programmer Guide/Command Reference/EVAL/haclust: Difference between revisions

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;Usage 1:<code>haclust(<var>d</var>, <var>m</var>)</code>
;Usage 1:<code>haclust(<var>d</var>, <var>m</var>)</code>
:;<var>d</var>: A dissimilarity or distance matrix. For N data points this is a NxN matrix (e.g. created using the function [[../dist|dist]])
:;<var>d</var>: A dissimilarity or distance matrix. For N data points this is a NxN matrix (e.g. created using the function [[../dist|dist]])
:;<var>m</var>:The cluster method:
:;<var>mflag</var>:The cluster method:
::{|class="einrahmen"
::{|class="einrahmen"
!''m'' !! method
!''mflag'' !! method
|-
|-
|0 ||Single Linkage
|0 ||Single Linkage
Line 22: Line 22:
|6 ||Ward
|6 ||Ward
|}
|}
;Result 1: The result is a cluster hierarchy. This is a 3x(N-1) table containing the merged cluster pairs and the agglomeration niveaus.
;Result 1: The result is a cluster hierarchy table ''htable''. This is a 3x(N-1) table containing the merged cluster pairs and the agglomeration niveaus.
----
----
;Usage 2:<code>haclust(<var>h</var>, <var>c</var>)</code>
;Usage 2:<code>haclust(<var>htable</var>, <var>nclust</var>)</code> ... create partition table:
:;<var>h</var>:A cluster hierarchy (e.g. computed with Usage 1).
;Usage 3:<code>haclust(<var>ptable</var>, <var>iclust</var>)</code> ... extract cluster data:
:;<var>c</var>:The number of clusters.
;Result:The created partition, which is a 1xN table containing the group indices.
----
----
See also: [[../modclust|modclust]]
;See also: For a detailed description of '''Usage 2''' and '''Usage 3''' and the format of the hierarchy ''htable'' and the partition table ''ptable'' see [[../modclust|modclust]].
:[[../modclust|modclust]], [[../em|em]], [[../density|density]], [[../svd|svd]], [[../dist|dist]]
 
[[../#Functions|<function list>]]




Example:
Example:
<pre>
<pre>
// A simple demonstration of <code>haclust</code> usage.
[macro haclust_example]
[macro haclust_example]
// create bivariate input data
// create bivariate input data

Latest revision as of 10:46, 21 April 2011

Hierarchical-agglomerative cluster analysis.


Usage 1
haclust(d, m)
d
A dissimilarity or distance matrix. For N data points this is a NxN matrix (e.g. created using the function dist)
mflag
The cluster method:
mflag method
0 Single Linkage
1 Complete Linkage
2 Weighted Average Linkage
3 Average Linkage
4 Median
5 Centroid
6 Ward
Result 1
The result is a cluster hierarchy table htable. This is a 3x(N-1) table containing the merged cluster pairs and the agglomeration niveaus.

Usage 2
haclust(htable, nclust) ... create partition table:
Usage 3
haclust(ptable, iclust) ... extract cluster data:

See also
For a detailed description of Usage 2 and Usage 3 and the format of the hierarchy htable and the partition table ptable see modclust.
modclust, em, density, svd, dist

<function list>


Example:

[macro haclust_example]
// create bivariate input data
#datatable := new table * 2 /p num:x num:y
$#datatable[*,0] := '1;2;1;3;4.5'
$#datatable[*,1] := '1;0.5;4;2;4'
        
// compute distance matrix
#disttable := eval dist($#datatable)

// cluster analysis methods:
// 0 (SL), 1 (CL), 2 (WAL), 3 (AL), 4 (M), 5 (C), 6 (W)
#method := 6    // Ward

// nr of clusters
#nclusters := 2

// compute hierarchy and partition
#hierarchy := eval haclust($#disttable,$#method)
#partition := eval haclust($#hierarchy,$#nclusters)

// show results
showitem $#hierarchy
showitem $#partition
exit

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