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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hierarchicalclustering.wasp
Title produced by softwareHierarchical Clustering
Date of computationFri, 02 Nov 2007 07:19:28 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/02/2skbcr3irstdyr11194013157.htm/, Retrieved Mon, 27 Apr 2026 05:08:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=130, Retrieved Mon, 27 Apr 2026 05:08:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact533

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Hierarchical Clustering] [Hierarchical clus...] [2007-11-02 14:19:28] [887c58ec85a2f7f96f5a0ba18e7ae311] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6,5	7,7	8,4
6,4	7,7	8,4
6,2	7,8	8,4
6,2	7,8	8,5
6,3	7,8	8,5
7,5	7,9	8,5
7,4	7,9	8,5
7,4	7,9	8,6
7,4	7,9	8,7
7,4	8	8,7
7,4	8	8,7
7,2	8,1	8,8
7,2	8,1	8,8
7,2	8,1	8,8
7,5	8,2	8,9
7,4	8,3	8,9
7,4	8,3	8,9
8	8,3	8,9
8,1	8,4	8,9
8,1	8,4	8,9
8,1	8,5	8,9
8,1	8,6	8,9
8,1	8,6	8,9
7,9	8,6	8,9
7,9	8,7	8,9
8	8,7	9
8,1	8,7	9
8,1	8,7	9
8,1	8,7	9
8,5	8,7	9
8,5	8,7	9
8,6	8,8	9
8,4	8,8	9,1
8,4	8,8	9,1
8,4	8,8	9,1
7,7	8,8	9,1
7,8	8,9	9,1
7,9	8,9	9,1
8,7	8,8	9
8,8	8,8	9
8,8	8,8	9
8,5	8,8	8,9
8,5	8,7	8,9
8,5	8,7	8,9
8,4	8,7	8,8
8,5	8,8	8,9
8,5	8,8	8,9
8,3	8,7	8,8
8,4	8,7	8,8
8,4	8,6	8,8
8,4	8,5	8,6
8,4	8,4	8,5
8,4	8,3	8,5
8,5	8,3	8,5
8,5	8,4	8,5
8,5	8,4	8,5
8,5	8,3	8,3
8,5	8,2	8,2
8,5	8,1	8,2
8,3	8	8,1
8,3	7,9	8
8,4	7,9	7,9
8,2	7,8	7,9
8,2	7,8	7,8
8,1	7,7	7,8
8,1	7,7	7,6
8	7,6	7,5
7,8	7,5	7,5
7,9	7,4	7,3
7,8	7,2	7,2
7,7	7,1	7,1
7,9	7	6,9

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=130&T=0

[TABLE]
[ROW][C]Summary of compuational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=130&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Summary of Dendrogram
LabelHeight
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180.0999999999999996
190.0999999999999996
200.0999999999999996
210.0999999999999996
220.0999999999999996
230.0999999999999996
240.0999999999999996
250.0999999999999996
260.100000000000001
270.100000000000001
280.127614237491539
290.127614237491539
300.133333333333333
310.133333333333333
320.137377344785321
330.141421356237309
340.149999999999999
350.173205080756888
360.173205080756888
370.176417624662798
380.182091389993231
390.188561808316414
400.191421356237309
410.199999999999999
420.210018769324858
430.210018769324861
440.210439768264648
450.219891421778965
460.244948974278318
470.250000000000003
480.250511492012331
490.32815089640682
500.348312766312543
510.370239447268856
520.391708798865966
530.442298645566624
540.462794333849736
550.474330028687255
560.602691639389095
570.693537256445647
580.837381574877334
590.8938295256216
600.970280149511545
610.981381438182842
621.20767040105691
631.40545236282507
641.45450947508770
651.49573987083444
663.67710824399263
675.27770784518212
686.13442273453823
696.59566222719246
7015.1159772626574
7126.4933402153258

\begin{tabular}{lllllllll}
\hline
Summary of Dendrogram \tabularnewline
Label & Height \tabularnewline
1 & 0 \tabularnewline
2 & 0 \tabularnewline
3 & 0 \tabularnewline
4 & 0 \tabularnewline
5 & 0 \tabularnewline
6 & 0 \tabularnewline
7 & 0 \tabularnewline
8 & 0 \tabularnewline
9 & 0 \tabularnewline
10 & 0 \tabularnewline
11 & 0 \tabularnewline
12 & 0 \tabularnewline
13 & 0 \tabularnewline
14 & 0 \tabularnewline
15 & 0 \tabularnewline
16 & 0 \tabularnewline
17 & 0 \tabularnewline
18 & 0.0999999999999996 \tabularnewline
19 & 0.0999999999999996 \tabularnewline
20 & 0.0999999999999996 \tabularnewline
21 & 0.0999999999999996 \tabularnewline
22 & 0.0999999999999996 \tabularnewline
23 & 0.0999999999999996 \tabularnewline
24 & 0.0999999999999996 \tabularnewline
25 & 0.0999999999999996 \tabularnewline
26 & 0.100000000000001 \tabularnewline
27 & 0.100000000000001 \tabularnewline
28 & 0.127614237491539 \tabularnewline
29 & 0.127614237491539 \tabularnewline
30 & 0.133333333333333 \tabularnewline
31 & 0.133333333333333 \tabularnewline
32 & 0.137377344785321 \tabularnewline
33 & 0.141421356237309 \tabularnewline
34 & 0.149999999999999 \tabularnewline
35 & 0.173205080756888 \tabularnewline
36 & 0.173205080756888 \tabularnewline
37 & 0.176417624662798 \tabularnewline
38 & 0.182091389993231 \tabularnewline
39 & 0.188561808316414 \tabularnewline
40 & 0.191421356237309 \tabularnewline
41 & 0.199999999999999 \tabularnewline
42 & 0.210018769324858 \tabularnewline
43 & 0.210018769324861 \tabularnewline
44 & 0.210439768264648 \tabularnewline
45 & 0.219891421778965 \tabularnewline
46 & 0.244948974278318 \tabularnewline
47 & 0.250000000000003 \tabularnewline
48 & 0.250511492012331 \tabularnewline
49 & 0.32815089640682 \tabularnewline
50 & 0.348312766312543 \tabularnewline
51 & 0.370239447268856 \tabularnewline
52 & 0.391708798865966 \tabularnewline
53 & 0.442298645566624 \tabularnewline
54 & 0.462794333849736 \tabularnewline
55 & 0.474330028687255 \tabularnewline
56 & 0.602691639389095 \tabularnewline
57 & 0.693537256445647 \tabularnewline
58 & 0.837381574877334 \tabularnewline
59 & 0.8938295256216 \tabularnewline
60 & 0.970280149511545 \tabularnewline
61 & 0.981381438182842 \tabularnewline
62 & 1.20767040105691 \tabularnewline
63 & 1.40545236282507 \tabularnewline
64 & 1.45450947508770 \tabularnewline
65 & 1.49573987083444 \tabularnewline
66 & 3.67710824399263 \tabularnewline
67 & 5.27770784518212 \tabularnewline
68 & 6.13442273453823 \tabularnewline
69 & 6.59566222719246 \tabularnewline
70 & 15.1159772626574 \tabularnewline
71 & 26.4933402153258 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=130&T=1

[TABLE]
[ROW][C]Summary of Dendrogram[/C][/ROW]
[ROW][C]Label[/C][C]Height[/C][/ROW]
[ROW][C]1[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0[/C][/ROW]
[ROW][C]15[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]0[/C][/ROW]
[ROW][C]17[/C][C]0[/C][/ROW]
[ROW][C]18[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]19[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]20[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]21[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]22[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]23[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]24[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]25[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]26[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]27[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]28[/C][C]0.127614237491539[/C][/ROW]
[ROW][C]29[/C][C]0.127614237491539[/C][/ROW]
[ROW][C]30[/C][C]0.133333333333333[/C][/ROW]
[ROW][C]31[/C][C]0.133333333333333[/C][/ROW]
[ROW][C]32[/C][C]0.137377344785321[/C][/ROW]
[ROW][C]33[/C][C]0.141421356237309[/C][/ROW]
[ROW][C]34[/C][C]0.149999999999999[/C][/ROW]
[ROW][C]35[/C][C]0.173205080756888[/C][/ROW]
[ROW][C]36[/C][C]0.173205080756888[/C][/ROW]
[ROW][C]37[/C][C]0.176417624662798[/C][/ROW]
[ROW][C]38[/C][C]0.182091389993231[/C][/ROW]
[ROW][C]39[/C][C]0.188561808316414[/C][/ROW]
[ROW][C]40[/C][C]0.191421356237309[/C][/ROW]
[ROW][C]41[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]42[/C][C]0.210018769324858[/C][/ROW]
[ROW][C]43[/C][C]0.210018769324861[/C][/ROW]
[ROW][C]44[/C][C]0.210439768264648[/C][/ROW]
[ROW][C]45[/C][C]0.219891421778965[/C][/ROW]
[ROW][C]46[/C][C]0.244948974278318[/C][/ROW]
[ROW][C]47[/C][C]0.250000000000003[/C][/ROW]
[ROW][C]48[/C][C]0.250511492012331[/C][/ROW]
[ROW][C]49[/C][C]0.32815089640682[/C][/ROW]
[ROW][C]50[/C][C]0.348312766312543[/C][/ROW]
[ROW][C]51[/C][C]0.370239447268856[/C][/ROW]
[ROW][C]52[/C][C]0.391708798865966[/C][/ROW]
[ROW][C]53[/C][C]0.442298645566624[/C][/ROW]
[ROW][C]54[/C][C]0.462794333849736[/C][/ROW]
[ROW][C]55[/C][C]0.474330028687255[/C][/ROW]
[ROW][C]56[/C][C]0.602691639389095[/C][/ROW]
[ROW][C]57[/C][C]0.693537256445647[/C][/ROW]
[ROW][C]58[/C][C]0.837381574877334[/C][/ROW]
[ROW][C]59[/C][C]0.8938295256216[/C][/ROW]
[ROW][C]60[/C][C]0.970280149511545[/C][/ROW]
[ROW][C]61[/C][C]0.981381438182842[/C][/ROW]
[ROW][C]62[/C][C]1.20767040105691[/C][/ROW]
[ROW][C]63[/C][C]1.40545236282507[/C][/ROW]
[ROW][C]64[/C][C]1.45450947508770[/C][/ROW]
[ROW][C]65[/C][C]1.49573987083444[/C][/ROW]
[ROW][C]66[/C][C]3.67710824399263[/C][/ROW]
[ROW][C]67[/C][C]5.27770784518212[/C][/ROW]
[ROW][C]68[/C][C]6.13442273453823[/C][/ROW]
[ROW][C]69[/C][C]6.59566222719246[/C][/ROW]
[ROW][C]70[/C][C]15.1159772626574[/C][/ROW]
[ROW][C]71[/C][C]26.4933402153258[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=130&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of Dendrogram
LabelHeight
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180.0999999999999996
190.0999999999999996
200.0999999999999996
210.0999999999999996
220.0999999999999996
230.0999999999999996
240.0999999999999996
250.0999999999999996
260.100000000000001
270.100000000000001
280.127614237491539
290.127614237491539
300.133333333333333
310.133333333333333
320.137377344785321
330.141421356237309
340.149999999999999
350.173205080756888
360.173205080756888
370.176417624662798
380.182091389993231
390.188561808316414
400.191421356237309
410.199999999999999
420.210018769324858
430.210018769324861
440.210439768264648
450.219891421778965
460.244948974278318
470.250000000000003
480.250511492012331
490.32815089640682
500.348312766312543
510.370239447268856
520.391708798865966
530.442298645566624
540.462794333849736
550.474330028687255
560.602691639389095
570.693537256445647
580.837381574877334
590.8938295256216
600.970280149511545
610.981381438182842
621.20767040105691
631.40545236282507
641.45450947508770
651.49573987083444
663.67710824399263
675.27770784518212
686.13442273453823
696.59566222719246
7015.1159772626574
7126.4933402153258


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = ward ; par2 = ALL ; par3 = FALSE ; par4 = FALSE ;
Parameters (R input):
par1 = ward ; par2 = ALL ; par3 = FALSE ; par4 = FALSE ;
R code (references can be found in the software module):
par3 <- as.logical(par3)
par4 <- as.logical(par4)
if (par3 == 'TRUE'){
dum = xlab
xlab = ylab
ylab = dum
}
x <- t(y)
hc <- hclust(dist(x),method=par1)
d <- as.dendrogram(hc)
str(d)
mysub <- paste('Method: ',par1)
bitmap(file='test1.png')
if (par4 == 'TRUE'){
plot(d,main=main,ylab=ylab,xlab=xlab,horiz=par3, nodePar=list(pch = c(1,NA), cex=0.8, lab.cex = 0.8),type='t',center=T, sub=mysub)
} else {
plot(d,main=main,ylab=ylab,xlab=xlab,horiz=par3, nodePar=list(pch = c(1,NA), cex=0.8, lab.cex = 0.8), sub=mysub)
}
dev.off()
if (par2 != 'ALL'){
if (par3 == 'TRUE'){
ylab = 'cluster'
} else {
xlab = 'cluster'
}
par2 <- as.numeric(par2)
memb <- cutree(hc, k = par2)
cent <- NULL
for(k in 1:par2){
cent <- rbind(cent, colMeans(x[memb == k, , drop = FALSE]))
}
hc1 <- hclust(dist(cent),method=par1, members = table(memb))
de <- as.dendrogram(hc1)
bitmap(file='test2.png')
if (par4 == 'TRUE'){
plot(de,main=main,ylab=ylab,xlab=xlab,horiz=par3, nodePar=list(pch = c(1,NA), cex=0.8, lab.cex = 0.8),type='t',center=T, sub=mysub)
} else {
plot(de,main=main,ylab=ylab,xlab=xlab,horiz=par3, nodePar=list(pch = c(1,NA), cex=0.8, lab.cex = 0.8), sub=mysub)
}
dev.off()
str(de)
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Summary of Dendrogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Label',header=TRUE)
a<-table.element(a,'Height',header=TRUE)
a<-table.row.end(a)
num <- length(x[,1])-1
for (i in 1:num)
{
a<-table.row.start(a)
a<-table.element(a,hc$labels[i])
a<-table.element(a,hc$height[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
if (par2 != 'ALL'){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Summary of Cut Dendrogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Label',header=TRUE)
a<-table.element(a,'Height',header=TRUE)
a<-table.row.end(a)
num <- par2-1
for (i in 1:num)
{
a<-table.row.start(a)
a<-table.element(a,i)
a<-table.element(a,hc1$height[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}