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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 computationMon, 05 Nov 2007 03:02:49 -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/05/c9atmdy2xi5ldel1194256844.htm/, Retrieved Mon, 29 Apr 2024 06:55:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=454, Retrieved Mon, 29 Apr 2024 06:55:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWS4 Q2 dendrogram
Estimated Impact289

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Kernel Density Estimation] [Q1 Bivariate Dens...] [2007-11-03 14:50:57] [e2ec4dc832988c648c062d4cdc574d44]
- RMPD    [Hierarchical Clustering] [WS4 Q2 dendrogram] [2007-11-05 10:02:49] [d41d8cd98f00b204e9800998ecf8427e] [Current]
F R  D      [Hierarchical Clustering] [eda various topic...] [2008-11-04 19:43:54] [077ffec662d24c06be4c491541a44245]
F    D        [Hierarchical Clustering] [] [2008-11-09 18:17:28] [4c8dfb519edec2da3492d7e6be9a5685]
F RMPD          [Star Plot] [] [2008-11-09 18:25:13] [4c8dfb519edec2da3492d7e6be9a5685]
F   P         [Hierarchical Clustering] [Hierarchical clus...] [2008-11-11 16:01:43] [73d6180dc45497329efd1b6934a84aba]
F   P           [Hierarchical Clustering] [Hierarchical Clus...] [2008-11-11 17:33:24] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F                 [Hierarchical Clustering] [] [2008-11-11 19:45:33] [a7a7b7de998247cdf0f65ef79d563d66]
-                 [Hierarchical Clustering] [] [2008-11-21 17:22:54] [888addc516c3b812dd7be4bd54caa358]
-             [Hierarchical Clustering] [Various EDA Topic...] [2008-11-22 09:58:44] [33f4701c7363e8b81858dafbf0350eed]
F RMPD      [Star Plot] [various EDA topic...] [2008-11-04 19:47:59] [077ffec662d24c06be4c491541a44245]
F   P         [Star Plot] [Star plot] [2008-11-11 16:04:19] [73d6180dc45497329efd1b6934a84aba]
-   P           [Star Plot] [Starplot] [2008-11-11 17:35:54] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMPD      [Pearson Correlation] [various eda topics] [2008-11-04 20:17:00] [077ffec662d24c06be4c491541a44245]
- RMPD      [Pearson Correlation] [various eda topic...] [2008-11-04 20:17:00] [077ffec662d24c06be4c491541a44245]
- RMPD      [Pearson Correlation] [various eda topic...] [2008-11-04 20:17:00] [077ffec662d24c06be4c491541a44245]
F RMPD      [Box-Cox Linearity Plot] [] [2008-11-04 20:21:52] [077ffec662d24c06be4c491541a44245]
F   PD        [Box-Cox Linearity Plot] [] [2008-11-09 18:32:27] [4c8dfb519edec2da3492d7e6be9a5685]
F   P         [Box-Cox Linearity Plot] [Box-cox linearity...] [2008-11-11 16:06:09] [73d6180dc45497329efd1b6934a84aba]
F   P           [Box-Cox Linearity Plot] [Box-Cox linearity...] [2008-11-11 17:37:44] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F                 [Box-Cox Linearity Plot] [] [2008-11-11 19:54:20] [a7a7b7de998247cdf0f65ef79d563d66]
-                 [Box-Cox Linearity Plot] [] [2008-11-21 17:56:22] [888addc516c3b812dd7be4bd54caa358]
- RMPD      [Box-Cox Normality Plot] [various eda topic...] [2008-11-04 20:30:40] [077ffec662d24c06be4c491541a44245]
F    D        [Box-Cox Normality Plot] [various eda topic...] [2008-11-04 20:48:12] [077ffec662d24c06be4c491541a44245]
F   PD          [Box-Cox Normality Plot] [] [2008-11-09 18:41:47] [4c8dfb519edec2da3492d7e6be9a5685]
F   P           [Box-Cox Normality Plot] [Box-Cox Normality...] [2008-11-11 16:08:06] [73d6180dc45497329efd1b6934a84aba]
F                 [Box-Cox Normality Plot] [Box-Cox Normality...] [2008-11-11 17:40:11] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F                   [Box-Cox Normality Plot] [] [2008-11-11 20:04:58] [a7a7b7de998247cdf0f65ef79d563d66]
-                   [Box-Cox Normality Plot] [] [2008-11-21 18:02:08] [888addc516c3b812dd7be4bd54caa358]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
99,0	101,5	108,4
115,4	126,6	117,0
106,9	93,9	103,8
107,1	89,8	100,8
99,3	93,4	110,6
99,2	101,5	104,0
108,3	110,4	112,6
105,6	105,9	107,3
99,5	108,4	98,9
107,4	113,9	109,8
93,1	86,1	104,9
88,1	69,4	102,2
110,7	101,2	123,9
113,1	100,5	124,9
99,6	98,0	112,7
93,6	106,6	121,9
98,6	90,1	100,6
99,6	96,9	104,3
114,3	125,9	120,4
107,8	112,0	107,5
101,2	100,0	102,9
112,5	123,9	125,6
100,5	79,8	107,5
93,9	83,4	108,8
116,2	113,6	128,4
112,0	112,9	121,1
106,4	104,0	119,5
95,7	109,9	128,7
96,0	99,0	108,7
95,8	106,3	105,5
103,0	128,9	119,8
102,2	111,1	111,3
98,4	102,9	110,6
111,4	130,0	120,1
86,6	87,0	97,5
91,3	87,5	107,7
107,9	117,6	127,3
101,8	103,4	117,2
104,4	110,8	119,8
93,4	112,6	116,2
100,1	102,5	111,0
98,5	112,4	112,4
112,9	135,6	130,6
101,4	105,1	109,1
107,1	127,7	118,8
110,8	137,0	123,9
90,3	91,0	101,6
95,5	90,5	112,8
111,4	122,4	128,0
113,0	123,3	129,6
107,5	124,3	125,8
95,9	120,0	119,5
106,3	118,1	115,7
105,2	119,0	113,6
117,2	142,7	129,7
106,9	123,6	112,0
108,2	129,6	116,8
110,0	146,9	126,3
96,1	108,7	112,9
100,6	99,4	115,9

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=454&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=454&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=454&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
11.79164728671688
22.43515913237717
32.5357444666212
42.69258240356725
52.73130005674953
62.96984848098350
73.00998338865848
83.18332654337857
93.61109401705356
103.63318042491699
113.64142829120663
123.92960166560812
134.07308237088327
144.63896540189727
154.68028887864762
165.08428952755447
175.17783738639985
185.26212884676915
195.32187317710463
205.45064380660680
215.62339086568237
225.77840808527745
236.12392684889938
246.7305861047332
256.81909084849293
267.03096028947898
277.1596089278675
287.34913456270732
297.84474346298207
307.85238817176023
317.99124520960281
328.91282493757552
338.94053245683132
349.00222194794153
3510.4257717318710
3610.6772211070098
3712.5936971383860
3812.6110661241587
3912.8818845778359
4012.9054216787252
4114.6140041143875
4214.8834520095288
4315.8183545315121
4416.7560848634092
4517.6001879620435
4620.0607506544026
4722.5600877654219
4823.1070711296417
4923.7204849968144
5023.8013612175014
5127.9437875134052
5234.5613174398528
5335.800494822727
5446.3969169190889
5557.4048355662927
5658.6783222825795
57105.480880155808
58184.930899296608
59454.475580960733

\begin{tabular}{lllllllll}
\hline
Summary of Dendrogram \tabularnewline
Label & Height \tabularnewline
1 & 1.79164728671688 \tabularnewline
2 & 2.43515913237717 \tabularnewline
3 & 2.5357444666212 \tabularnewline
4 & 2.69258240356725 \tabularnewline
5 & 2.73130005674953 \tabularnewline
6 & 2.96984848098350 \tabularnewline
7 & 3.00998338865848 \tabularnewline
8 & 3.18332654337857 \tabularnewline
9 & 3.61109401705356 \tabularnewline
10 & 3.63318042491699 \tabularnewline
11 & 3.64142829120663 \tabularnewline
12 & 3.92960166560812 \tabularnewline
13 & 4.07308237088327 \tabularnewline
14 & 4.63896540189727 \tabularnewline
15 & 4.68028887864762 \tabularnewline
16 & 5.08428952755447 \tabularnewline
17 & 5.17783738639985 \tabularnewline
18 & 5.26212884676915 \tabularnewline
19 & 5.32187317710463 \tabularnewline
20 & 5.45064380660680 \tabularnewline
21 & 5.62339086568237 \tabularnewline
22 & 5.77840808527745 \tabularnewline
23 & 6.12392684889938 \tabularnewline
24 & 6.7305861047332 \tabularnewline
25 & 6.81909084849293 \tabularnewline
26 & 7.03096028947898 \tabularnewline
27 & 7.1596089278675 \tabularnewline
28 & 7.34913456270732 \tabularnewline
29 & 7.84474346298207 \tabularnewline
30 & 7.85238817176023 \tabularnewline
31 & 7.99124520960281 \tabularnewline
32 & 8.91282493757552 \tabularnewline
33 & 8.94053245683132 \tabularnewline
34 & 9.00222194794153 \tabularnewline
35 & 10.4257717318710 \tabularnewline
36 & 10.6772211070098 \tabularnewline
37 & 12.5936971383860 \tabularnewline
38 & 12.6110661241587 \tabularnewline
39 & 12.8818845778359 \tabularnewline
40 & 12.9054216787252 \tabularnewline
41 & 14.6140041143875 \tabularnewline
42 & 14.8834520095288 \tabularnewline
43 & 15.8183545315121 \tabularnewline
44 & 16.7560848634092 \tabularnewline
45 & 17.6001879620435 \tabularnewline
46 & 20.0607506544026 \tabularnewline
47 & 22.5600877654219 \tabularnewline
48 & 23.1070711296417 \tabularnewline
49 & 23.7204849968144 \tabularnewline
50 & 23.8013612175014 \tabularnewline
51 & 27.9437875134052 \tabularnewline
52 & 34.5613174398528 \tabularnewline
53 & 35.800494822727 \tabularnewline
54 & 46.3969169190889 \tabularnewline
55 & 57.4048355662927 \tabularnewline
56 & 58.6783222825795 \tabularnewline
57 & 105.480880155808 \tabularnewline
58 & 184.930899296608 \tabularnewline
59 & 454.475580960733 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=454&T=1

[TABLE]
[ROW][C]Summary of Dendrogram[/C][/ROW]
[ROW][C]Label[/C][C]Height[/C][/ROW]
[ROW][C]1[/C][C]1.79164728671688[/C][/ROW]
[ROW][C]2[/C][C]2.43515913237717[/C][/ROW]
[ROW][C]3[/C][C]2.5357444666212[/C][/ROW]
[ROW][C]4[/C][C]2.69258240356725[/C][/ROW]
[ROW][C]5[/C][C]2.73130005674953[/C][/ROW]
[ROW][C]6[/C][C]2.96984848098350[/C][/ROW]
[ROW][C]7[/C][C]3.00998338865848[/C][/ROW]
[ROW][C]8[/C][C]3.18332654337857[/C][/ROW]
[ROW][C]9[/C][C]3.61109401705356[/C][/ROW]
[ROW][C]10[/C][C]3.63318042491699[/C][/ROW]
[ROW][C]11[/C][C]3.64142829120663[/C][/ROW]
[ROW][C]12[/C][C]3.92960166560812[/C][/ROW]
[ROW][C]13[/C][C]4.07308237088327[/C][/ROW]
[ROW][C]14[/C][C]4.63896540189727[/C][/ROW]
[ROW][C]15[/C][C]4.68028887864762[/C][/ROW]
[ROW][C]16[/C][C]5.08428952755447[/C][/ROW]
[ROW][C]17[/C][C]5.17783738639985[/C][/ROW]
[ROW][C]18[/C][C]5.26212884676915[/C][/ROW]
[ROW][C]19[/C][C]5.32187317710463[/C][/ROW]
[ROW][C]20[/C][C]5.45064380660680[/C][/ROW]
[ROW][C]21[/C][C]5.62339086568237[/C][/ROW]
[ROW][C]22[/C][C]5.77840808527745[/C][/ROW]
[ROW][C]23[/C][C]6.12392684889938[/C][/ROW]
[ROW][C]24[/C][C]6.7305861047332[/C][/ROW]
[ROW][C]25[/C][C]6.81909084849293[/C][/ROW]
[ROW][C]26[/C][C]7.03096028947898[/C][/ROW]
[ROW][C]27[/C][C]7.1596089278675[/C][/ROW]
[ROW][C]28[/C][C]7.34913456270732[/C][/ROW]
[ROW][C]29[/C][C]7.84474346298207[/C][/ROW]
[ROW][C]30[/C][C]7.85238817176023[/C][/ROW]
[ROW][C]31[/C][C]7.99124520960281[/C][/ROW]
[ROW][C]32[/C][C]8.91282493757552[/C][/ROW]
[ROW][C]33[/C][C]8.94053245683132[/C][/ROW]
[ROW][C]34[/C][C]9.00222194794153[/C][/ROW]
[ROW][C]35[/C][C]10.4257717318710[/C][/ROW]
[ROW][C]36[/C][C]10.6772211070098[/C][/ROW]
[ROW][C]37[/C][C]12.5936971383860[/C][/ROW]
[ROW][C]38[/C][C]12.6110661241587[/C][/ROW]
[ROW][C]39[/C][C]12.8818845778359[/C][/ROW]
[ROW][C]40[/C][C]12.9054216787252[/C][/ROW]
[ROW][C]41[/C][C]14.6140041143875[/C][/ROW]
[ROW][C]42[/C][C]14.8834520095288[/C][/ROW]
[ROW][C]43[/C][C]15.8183545315121[/C][/ROW]
[ROW][C]44[/C][C]16.7560848634092[/C][/ROW]
[ROW][C]45[/C][C]17.6001879620435[/C][/ROW]
[ROW][C]46[/C][C]20.0607506544026[/C][/ROW]
[ROW][C]47[/C][C]22.5600877654219[/C][/ROW]
[ROW][C]48[/C][C]23.1070711296417[/C][/ROW]
[ROW][C]49[/C][C]23.7204849968144[/C][/ROW]
[ROW][C]50[/C][C]23.8013612175014[/C][/ROW]
[ROW][C]51[/C][C]27.9437875134052[/C][/ROW]
[ROW][C]52[/C][C]34.5613174398528[/C][/ROW]
[ROW][C]53[/C][C]35.800494822727[/C][/ROW]
[ROW][C]54[/C][C]46.3969169190889[/C][/ROW]
[ROW][C]55[/C][C]57.4048355662927[/C][/ROW]
[ROW][C]56[/C][C]58.6783222825795[/C][/ROW]
[ROW][C]57[/C][C]105.480880155808[/C][/ROW]
[ROW][C]58[/C][C]184.930899296608[/C][/ROW]
[ROW][C]59[/C][C]454.475580960733[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=454&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=454&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
11.79164728671688
22.43515913237717
32.5357444666212
42.69258240356725
52.73130005674953
62.96984848098350
73.00998338865848
83.18332654337857
93.61109401705356
103.63318042491699
113.64142829120663
123.92960166560812
134.07308237088327
144.63896540189727
154.68028887864762
165.08428952755447
175.17783738639985
185.26212884676915
195.32187317710463
205.45064380660680
215.62339086568237
225.77840808527745
236.12392684889938
246.7305861047332
256.81909084849293
267.03096028947898
277.1596089278675
287.34913456270732
297.84474346298207
307.85238817176023
317.99124520960281
328.91282493757552
338.94053245683132
349.00222194794153
3510.4257717318710
3610.6772211070098
3712.5936971383860
3812.6110661241587
3912.8818845778359
4012.9054216787252
4114.6140041143875
4214.8834520095288
4315.8183545315121
4416.7560848634092
4517.6001879620435
4620.0607506544026
4722.5600877654219
4823.1070711296417
4923.7204849968144
5023.8013612175014
5127.9437875134052
5234.5613174398528
5335.800494822727
5446.3969169190889
5557.4048355662927
5658.6783222825795
57105.480880155808
58184.930899296608
59454.475580960733


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')
}