:: Hierarchical Clustering - Free Statistics Software (Calculator) ::
All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software
when results are used in publications.
This free online software (calculator) computes the hierarchical clustering of a multivariate dataset based on dissimilarities. There are various methods available:
- Ward method (compact spherical clusters, minimizes variance)
- Complete linkage (similar clusters)
- Single linkage (related to minimal spanning tree)
- Median linkage (does not yield monotone distance measures)
- Centroid linkage (does not yield monotone distance measures)
- Average method
- McQuitty method
The dendrogram is always displayed. In addition, the cut tree (top clusters only) is displayed if the second parameter is specified. There is an option to display the dendrogram horizontally and another option to display triangular trees.
Note: the R output text contains a dendrogram in text format with all details.
Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!
|Cite this software as:|
|Wessa, P., (2017), Hierarchical Clustering (v1.0.5) in Free Statistics Software (v1.2.1), Office for Research Development and Education, URL https://www.wessa.net/rwasp_hierarchicalclustering.wasp/|
|The R code is based on :|
|Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988), The New S Language, Wadsworth & Brooks/Cole. (S version.)|
|Gordon, A. D. (1999), Classification, Second Edition. London: Chapman and Hall / CRC|
|Murtagh, F. (1985). Multidimensional Clustering Algorithms, in COMPSTAT Lectures 4, Wuerzburg: Physica-Verlag|
|McQuitty, L.L. (1966). Similarity Analysis by Reciprocal Pairs for Discrete and Continuous Data, Educational and Psychological Measurement, nr. 26, 825-831|
To cite Wessa.net in publications use:
Wessa, P. (2021), Free Statistics Software, Office for Research Development and Education,
version 1.2.1, URL https://www.wessa.net/
© All rights reserved. Academic license for non-commercial use only.
The free use of the scientific content, services, and applications in this website is
granted for non commercial use only. In any case,
the source (url) should always be clearly displayed. Under no circumstances are
you allowed to reproduce, copy or redistribute the design, layout, or any
content of this website (for commercial use) including any materials contained
herein without the express written permission.
on this web site is provided "AS IS" without warranty of any kind, either
express or implied, including, without limitation, warranties of
merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information
and periodically update the information, and software without notice. We
make no warranties or representations
as to the accuracy or completeness of such information (or software), and it assumes no
liability or responsibility for errors or omissions in the content of this web
site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and
under no legal theory shall we be liable to you or any other
person for any direct, indirect, special, incidental, exemplary, or
consequential damages arising from your access to, or use of, this web site.
Software Version : 1.2.1
Algorithms & Software : Patrick Wessa, PhD
Server : www.wessa.net