Question

Use the data below and find the clusters using a single link technique. Use Euclidean distance and draw the dendrogram.

	X	Y
P1	0.35	0.48
P2	0.17	0.33
P3	0.3	0.28
P4	0.21	0.18
P5	0.08	0.29

Answer 1

Sol:

Distance between two clusters is the shortest distance between two points in each cluster.

Obtain dissimilarity matrix using dist function and specify method =euclidean.

obtain heirrachial clustering using single linkage.

and obtain dendogram with plot function in R

Rcode:

df1 =read.table(header = TRUE, text ="
   X   Y
P1   0.35   0.48
P2   0.17   0.33
P3   0.3   0.28
P4   0.21   0.18
P5   0.08   0.29
"
)
df1

dm <- dist(df1, method = "euclidean")
hc1us <- hclust(dm, method = "single" )
plot(hc1us, cex = 0.6, hang = -1)

Output: