# agnes

0th

Percentile

##### Agglomerative Nesting

Computes agglomerative hierarchical clustering of the dataset.

Keywords
cluster
##### Usage
agnes(x, diss = inherits(x, "dist"),
metric = "euclidean", stand = FALSE, method = "average")
##### Arguments
x
data matrix or data frame, or dissimilarity matrix, depending on the value of the diss argument.

In case of a matrix or data frame, each row corresponds to an observation, and each column corresponds to a variable. All variables

diss
logical flag: if TRUE (default for dist or dissimilarity objects), then x is assumed to be a dissimilarity matrix. If FALSE, then x is treated as a matrix of observations by variables.
metric
character string specifying the metric to be used for calculating dissimilarities between observations. The currently available options are "euclidean" and "manhattan". Euclidean distances are root sum-of-squares of differences, and manhat
stand
logical flag: if TRUE, then the measurements in x are standardized before calculating the dissimilarities. Measurements are standardized for each variable (column), by subtracting the variable's mean value and dividing by the vari
method
character string defining the clustering method. The five methods implemented are "average" (group average method), "single" (single linkage), "complete" (complete linkage), "ward" (Ward's method), and "weighted" (weighted average linkage).
##### Details

agnes is fully described in chapter 5 of Kaufman and Rousseeuw (1990). Compared to other agglomerative clustering methods such as hclust, agnes has the following features: (a) it yields the agglomerative coefficient (see agnes.object) which measures the amount of clustering structure found; and (b) apart from the usual tree it also provides the banner, a novel graphical display (see plot.agnes).

The agnes-algorithm constructs a hierarchy of clusterings. At first, each observation is a small cluster by itself. Clusters are merged until only one large cluster remains which contains all the observations. At each stage the two nearest clusters are combined to form one larger cluster.

For method="average", the distance between two clusters is the average of the dissimilarities between the points in one cluster and the points in the other cluster. In method="single", we use the smallest dissimilarity between a point in the first cluster and a point in the second cluster (nearest neighbor method). When method="complete", we use the largest dissimilarity between a point in the first cluster and a point in the second cluster (furthest neighbor method).

##### Value

• an object of class "agnes" representing the clustering. See agnes.object for details.

##### References

Kaufman, L. and Rousseeuw, P.J. (1990). Finding Groups in Data: An Introduction to Cluster Analysis. Wiley, New York.

Anja Struyf, Mia Hubert & Peter J. Rousseeuw (1996): Clustering in an Object-Oriented Environment. Journal of Statistical Software, 1. http://www.stat.ucla.edu/journals/jss/

Struyf, A., Hubert, M. and Rousseeuw, P.J. (1997). Integrating Robust Clustering Techniques in S-PLUS, Computational Statistics and Data Analysis, 26, 17--37.

agnes.object, daisy, diana, dist, hclust, plot.agnes, twins.object.

• agnes
##### Examples
data(votes.repub)
agn1 <- agnes(votes.repub, metric = "manhattan", stand = TRUE)
agn1
plot(agn1)

agn2 <- agnes(daisy(votes.repub), diss = TRUE, method = "complete")
plot(agn2)

data(agriculture)
## Plot similar to Figure 7 in ref
<testonly>plot(agnes(agriculture))</testonly>