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Questions tagged [dendrogram]

A dendrogram (or tree diagram) is a graph used to represent relationships in hierarchical clustering.

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How to compare two dendrograms

I want to find a method to compare two dendrograms. I have documents that were read by some people and they made a dendrogram that indicates which documents they think are more similar. Now I want to ...
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Interpretation of the height of a dendrogram and intra/inter deviance corrispondence

I am practicing hierarchical clustering and I am having doubts about the interpretation of dendrogram height. Let's take the code in example with points (1,1), (2,2), (5,5), (9,9), (10,10), and (13,13)...
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Finding correlations between categories using Correlations matrix and heatmap with dendrogram

I have a dataset with 5000 obs grouped by category: 1: science 0.5: philosophy -0.5: medicine -1: law I would like to run some statistics to find correlations among variables within the groups, for ...
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Clustering multivariate binary data

I want to use a clustering algorithm which can catch the following within a multivariate binary dataset. In the sample below, since class 1 and 2 appear twice within column A and B they will form a ...
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Comparing cluserting structure of two datasets

I have two datasets, one with probands of a certain disease in it, the other has their siblings in it. Both of them contain the exact same variables (some phenotypes). Now, I would like to compare the ...
Courtney's user avatar
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Variables plotted weirdly in a dendrogram (ClustOfVar for R)

I plotted a dendrogram using plot(hclustervar(X.quali=data)) from the R package ClustOfVar because I wanted to explore the structure behind the survey responses. All variables were coded as factors, ...
Ninjadog's user avatar
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How to interpret a hierarchical clustering dendrogram?

I have a machine learning code that predicts whether a gene is likely to cause disease (the model gives the gene a score somewhere between 0 and 1, with 1 being causal for the disease). The training ...
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Hierarchical clustering and Dendrogram interpretation

I'm quite new to cluster analysis and I was trying to perform a hierarchical clustering algorithm (in R) on my data to spot some groups in my dataset. Initially, I tried with the k-means, with the ...
Cas Toyel's user avatar
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Hotelling's $T^2$ test VS dendrogram

When i perform a Hotelling's $T^2$ test on a dataset, it stated that there is strong evidence that the mean vectors of the two groups differ. However, when I create a dendrogram, I got: where number ...
GarlicSTAT's user avatar
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449 views

Cutting dendrogram at certain point

I have a question about cutting dendrogram like that It shows some hierarchy in the prison I have to cut it to separate the group. Is it possible to cut not all dendrograph at the same height like ...
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Quantifying non-random distribution of label across dendrogram / correlation matrix?

Overview Given a correlation matrix generated from $n$ observations, each of which is associated with one or categorical binary or multinomial labels, how can one quantify the (non-)random ...
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Hierarchical clustering dendrogram on a distance matrix

When computing hierarchical clustering over a data matrix, a dissimilarity matrix is first computed in order to build the tree (dendrogram). For example: ...
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Dendrogram: Hierachical Clustering on Text data

I would like to use hierarchical clustering for my text data using sklearn.cluster library in Python. However, when I plot the dendrogram to inspect where I should ...
Darren Christopher's user avatar
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Dendrogram y-axis labeling confusion

I have a large (106x106) correlation matrix in pandas with the following structure: ...
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R: What is the distance function equivalent for this formula?

Hi I'm using an R package that calculates distance with this formula here, as.dist(1 - cor(df, use = "pa")) However I cannot seem to find an equivalent dist ...
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Hierarchical clustering in R - centroid linkage - problem with dendrogram heights

I have got a problem with understanding the hierarchical clustering algorythm, especially centroid linkage method. I have read many articles with description and they seems to be quite easy but I ...
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Clustering correlated variables based on correlation matrix [duplicate]

I'm trying to group correlated variables together. I calculated the correlation matrix (Pearson correlation) and filtered out insignificantly correlated variables. What I'm left with is this ...
orange's user avatar
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Hierachical cluster analysis of ordinal variables?

I have a dataset containing 400 variables (chemical compounds, amount classes) with values 0,1,2, or 3 and 50 entries (species). Can I use hierarchical cluster analysis to get a dendrogram that ...
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Algorithm to sort the elements in a way that allows drawing non-crossing dendrograms out of Hierarchical Clustering [closed]

I have written from scratch (with Fortran) my own implementation of the Ward algorithm to perform HC. The output of the program consists of two elements: a vector with the distance after each step, ...
Pythonist's user avatar
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Test if order of objects in hierarchical clustering is uniformly distributed

I have performed hierarchical clustering and am looking for a way to test if a specific set of objects (genes, in this case) are clustered together. From inspecting the output I cannot identify a ...
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471 views

Visually comparing hierarchical clusterings

I'm working with a computational model. The model demonstrates the behaviour of a several sub metabolic systems (A, B, C, D, E, F, G, H, I and J) of a bacteria. I cluster these sub systems based on ...
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1 answer
224 views

Heatmap based on gene expression trend [closed]

Can anybody guide me on the R code for the following problem? My data contains expression values of Genes A, B, C, D, E, F, G, H, and I in a time course study for two time steps, 48 and 72 hours, ...
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Distance between two clusters

I have this distances: ...
Gotey's user avatar
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2 answers
466 views

Dendrogram from table with repeated lines

I have some data from mass spectrometry of some plant samples (11 morphospecies and 4 treatments for each). Each species/treatment yields a graphic like the one below. Each column in the graphic ...
Rodrigo's user avatar
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Would anyone be able to help me interpret the dendrogram in the picture?

The dendrogram was obtained using SPSS, the Nearest Neighbor method alongside the Squared Euclidian Distance. It groups together glass fragments from 3 different origins but I have difficulties with ...
Marina Oana's user avatar
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Step-by-step: Ward's method for calculating linkage

I'm trying to use Ward's method to calculate linkage for hierarchical agglomerative clustering with the data points below: $$a=(0,0)$$ $$b=(1,2)$$ $$c=(3,4)$$ $$d=(4,1)$...
Harr's user avatar
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4 votes
2 answers
3k views

Applying Ward's method for calculating linkage

For an assignment, I have used iPython to create the dendrogram below, using Ward's method and Euclidean distance, from the following data: $$a=(0,0)$$ $$b=(1,2)$$ $$c=(3,4)$$ $$d=(4,1)$$ $$e=(2,2)$$ ...
Harr's user avatar
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551 views

Why does the heatmap of this gene expression data don't show a decent clustering here?

The heatmap has samples in columns and probesets/features in the rows. The genes are already selected based on a very low p-value threshold using 2 sample t-test on the two phenotypic subgroups of the ...
j1897's user avatar
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Dendrogram in Hybrid Hierarchical Clustering and Cut-off criterion (Calinski-Harabasz presently)

I have questions regarding the dendrogram and the cut-off related to hybrid hierarchical clustering performed on data, as depicted below and taken from this paper Questions regarding Panel A (...
Pugl's user avatar
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753 views

Do heights between branches in R's heatmap dendrogram reflect true distances?

We are trying to interpret a heatmap that looks like this: ... and plotted with this plotting code: ...
Samuel Lampa's user avatar
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2k views

Purpose of dendrogram and hierarchical clustering

This is likely a very naive question. I've lately been reading about hierarchical clustering algorithms, and various discussions about how to interpret dendrograms or find optimal heights for cutting ...
siler's user avatar
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Centroid linkage clustering with hclust yields wrong dendrogram?

Let's look at this example: ...
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484 views

Hierarchical Cluster Analysis validation

I have never used Hierarchical Cluster Analysis for inferential statistics before, but the dendrogram it produces provides a nice way to visualise my data. I applied the HCA to my variables with the <...
Pete's user avatar
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4 votes
1 answer
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Community detection and modularity

I am reading the book "Network science" of Barabasi and in particular the chapter on community detection. If I understand correctly, modularity is a goodness factor of partition calculated by a ...
marielle's user avatar
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A high cophenetic correlation coefficient but dendrogram seems bad

I have 2 results for the same dataset. One is hierarchical clustering using Ward's method and I got 0.75 cophenetic correlation coefficient. The second is average method and I got 0.91 cophenetic ...
Emrah Bilgiç's user avatar
3 votes
1 answer
4k views

How to interpret the numeric values for "height" in a dendrogram using Ward's clustering method

I am a biology student investigating a new method of creating a dichotomous identification key. I have created a dendrogram using data I have collected from a survey on how people rate how similar ...
radellin's user avatar
3 votes
3 answers
217 views

Cluster similarity matrix as energies

I have a symmetric score matrix and I would like to cluster the values in two dimensions rather than through a tree. Is there any method / library that would take the input matrix and treat the scores ...
El Dude's user avatar
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4 votes
1 answer
429 views

How to specify K cluster in Hierarchical clustering with noisy data?

I'm new in Mining and Clustering and I wonder how to cut off the hierarchical clustering Dendrogram to obtain a specific number of clusters. The problem is here that the data is noisy and the ...
farzad's user avatar
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573 views

How many clusters would you divide this dendrogram into?

I'm struggling as to where to cut this dendrogram: any help would be appreciated. Thanks
Paul Jenkins's user avatar
4 votes
1 answer
266 views

Get k most diverse objects from dendrogram (hierarchical clustering)

I have a dendrogram which groups similar object in a hierarchical order. The problem I try to solve is based on a dendrogram how to get k most diverse objects. E.g. We start with some random (?) ...
Sebastian Widz's user avatar
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822 views

Structural Stability of Hierarchical Clustering

I am interested in some papers and reports about analysing the following problem: Assume, we have a stream of objects and a defined similarity/distance measure to calculate similarity/distance between ...
Sebastian Widz's user avatar
2 votes
1 answer
5k views

Cophenetic distance matrix to a dendrogram

In hierarchical clustering procedure, a distance matrix is used to construct a dendrogram with an appropriate method of clustering. In the process of constructing a dendrogram, a cophenetic matrix is ...
Crops's user avatar
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1 answer
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Extract (ultrametric) distances from hclust or dendrogram

How can the matrix of (ultrametric) distances be extracted from the result of hclust (or a dendrogram in general) in R? The ...
Stats's user avatar
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1 vote
0 answers
73 views

hypothesis testing in hierarchical trees

Suppose I have an hierarchical tree organising people according to their music preferences. Each person then has 3 extra properties A, B and C (e.g. parent's supportiveness on musical education). I ...
HslashML's user avatar
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4k views

How to plot Optics Clustering result in Matlab (reachability plot)

I modified the following script for Optics clustering ( http://chemometria.us.edu.pl/download/OPTICS.M ) in order to work with DTW distance instead than Euclidean's. I obtained the Order vector (...
Saverio Terracciano's user avatar
3 votes
1 answer
843 views

Leaf ordering for hierarchical clustering dendrogram

Assuming merging process was completed and we have the history of n-1 merged clusters (merge two clusters p and ...
Oleg Shirokikh's user avatar
34 votes
3 answers
122k views

How to interpret the dendrogram of a hierarchical cluster analysis

Consider the R example below: plot( hclust(dist(USArrests), "ave") ) What exactly does the y-axis "Height" mean? Looking at North Carolina and California (...
Richi W's user avatar
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36 votes
1 answer
29k views

Comparing hierarchical clustering dendrograms obtained by different distances & methods

[The initial title "Measurement of similarity for hierarchical clustering trees" was later changed by @ttnphns to better reflect the topic] I am performing a number of hierarchical cluster analyses ...
Wouter's user avatar
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3 votes
1 answer
514 views

Which similarity coefficient should I use with Ward linkage?

I just attempted implementations of Ward linkage and UPGMA linkage, as well as Pearson and Euclid similarity coefficients. To my surprise, both similarity coefficients gave the same clustering with ...
Jared Olerend's user avatar
4 votes
0 answers
137 views

How to randomize the tips of a functional trait dendrogram? [closed]

I have generated a functional trait dendrogram using species x trait and plots x species matrices through dbFD in package FD. I want to randomize the tips of the ...
Meghna Krishnadas's user avatar