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Author

*The author of this computation has been verified*

R Software Module

Patrick.Wessarwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Sat, 18 Dec 2010 21:19:58 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/18/t1292707110p0r6kpio7lpf73k.htm/, Retrieved Tue, 30 Apr 2024 01:51:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112201, Retrieved Tue, 30 Apr 2024 01:51:57 +0000

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User-defined keywords

Estimated Impact

148

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Kendall tau Correlation Matrix] [] [2010-12-05 17:44:33] [b98453cac15ba1066b407e146608df68]
-   PD  [Kendall tau Correlation Matrix] [pearson correlati...] [2010-12-10 10:32:01] [74deae64b71f9d77c839af86f7c687b5]
-   PD      [Kendall tau Correlation Matrix] [pearson correlati...] [2010-12-18 21:19:58] [e665313c9926a9f4bdf6ad1ee5aefad6] [Current]

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Dataseries X:

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Histogram

Boxplots

101,82	107,34	93,63	99,85	101,76
101,68	107,34	93,63	99,91	102,37
101,68	107,34	93,63	99,87	102,38
102,45	107,34	96,13	99,86	102,86
102,45	107,34	96,13	100,10	102,87
102,45	107,34	96,13	100,10	102,92
102,45	107,34	96,13	100,12	102,95
102,45	107,34	96,13	99,95	103,02
102,45	112,60	96,13	99,94	104,08
102,52	112,60	96,13	100,18	104,16
102,52	112,60	96,13	100,31	104,24
102,85	112,60	96,13	100,65	104,33
102,85	112,61	96,13	100,65	104,73
102,85	112,61	96,13	100,69	104,86
103,25	112,61	96,13	101,26	105,03
103,25	112,61	98,73	101,26	105,62
103,25	112,61	98,73	101,38	105,63
103,25	112,61	98,73	101,38	105,63
104,45	112,61	98,73	101,38	105,94
104,45	112,61	98,73	101,44	106,61
104,45	118,65	98,73	101,40	107,69
104,80	118,65	98,73	101,40	107,78
104,80	118,65	98,73	100,58	107,93
105,29	118,65	98,73	100,58	108,48
105,29	114,29	98,73	100,58	108,14
105,29	114,29	98,73	100,59	108,48
105,29	114,29	98,73	100,81	108,48
106,04	114,29	101,67	100,75	108,89
105,94	114,29	101,67	100,75	108,93
105,94	114,29	101,67	100,96	109,21
105,94	114,29	101,67	101,31	109,47
106,28	114,29	101,67	101,64	109,80
106,48	123,33	101,67	101,46	111,73
107,19	123,33	101,67	101,73	111,85
108,14	123,33	101,67	101,73	112,12
108,22	123,33	101,67	101,64	112,15
108,22	123,33	101,67	101,77	112,17
108,61	123,33	101,67	101,74	112,67
108,61	123,33	101,67	101,89	112,80
108,61	123,33	107,94	101,89	113,44
108,61	123,33	107,94	101,93	113,53
109,06	123,33	107,94	101,93	114,53
109,06	123,33	107,94	102,32	114,51
112,93	123,33	107,94	102,41	115,05
115,84	129,03	107,94	103,58	116,67
118,57	128,76	107,94	104,12	117,07
118,57	128,76	107,94	104,10	116,92
118,86	128,76	107,94	104,15	117,00
118,98	128,76	107,94	104,15	117,02
119,27	128,76	107,94	104,16	117,35
119,39	128,76	107,94	102,94	117,36
119,49	128,76	110,30	103,07	117,82
119,59	128,76	110,30	103,04	117,88
120,12	128,76	110,30	103,06	118,24
120,14	128,76	110,30	103,05	118,50
120,14	128,76	110,30	102,95	118,80
120,14	132,63	110,30	102,95	119,76
120,14	132,63	110,30	103,05	120,09
120,62	132,63	110,30	102,65	120,16

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112201&T=0

[TABLE]
[ROW][C]Summary of computational 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]2 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=112201&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112201&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Correlations for all pairs of data series (method=pearson)
	bios	schouwburg	eedagsacttractie	huurDVD	vrijetijdsbesteding
bios	1	0.92	0.929	0.917	0.949
schouwburg	0.92	1	0.924	0.903	0.976
eedagsacttractie	0.929	0.924	1	0.892	0.972
huurDVD	0.917	0.903	0.892	1	0.909
vrijetijdsbesteding	0.949	0.976	0.972	0.909	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & bios & schouwburg & eedagsacttractie & huurDVD & vrijetijdsbesteding \tabularnewline
bios & 1 & 0.92 & 0.929 & 0.917 & 0.949 \tabularnewline
schouwburg & 0.92 & 1 & 0.924 & 0.903 & 0.976 \tabularnewline
eedagsacttractie & 0.929 & 0.924 & 1 & 0.892 & 0.972 \tabularnewline
huurDVD & 0.917 & 0.903 & 0.892 & 1 & 0.909 \tabularnewline
vrijetijdsbesteding & 0.949 & 0.976 & 0.972 & 0.909 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112201&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]bios[/C][C]schouwburg[/C][C]eedagsacttractie[/C][C]huurDVD[/C][C]vrijetijdsbesteding[/C][/ROW]
[ROW][C]bios[/C][C]1[/C][C]0.92[/C][C]0.929[/C][C]0.917[/C][C]0.949[/C][/ROW]
[ROW][C]schouwburg[/C][C]0.92[/C][C]1[/C][C]0.924[/C][C]0.903[/C][C]0.976[/C][/ROW]
[ROW][C]eedagsacttractie[/C][C]0.929[/C][C]0.924[/C][C]1[/C][C]0.892[/C][C]0.972[/C][/ROW]
[ROW][C]huurDVD[/C][C]0.917[/C][C]0.903[/C][C]0.892[/C][C]1[/C][C]0.909[/C][/ROW]
[ROW][C]vrijetijdsbesteding[/C][C]0.949[/C][C]0.976[/C][C]0.972[/C][C]0.909[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112201&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112201&T=1

As an alternative you can also use a QR Code:

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

Correlations for all pairs of data series (method=pearson)
	bios	schouwburg	eedagsacttractie	huurDVD	vrijetijdsbesteding
bios	1	0.92	0.929	0.917	0.949
schouwburg	0.92	1	0.924	0.903	0.976
eedagsacttractie	0.929	0.924	1	0.892	0.972
huurDVD	0.917	0.903	0.892	1	0.909
vrijetijdsbesteding	0.949	0.976	0.972	0.909	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
bios;schouwburg	0.9199	0.9721	0.8875
p-value	(0)	(0)	(0)
bios;eedagsacttractie	0.9294	0.9807	0.9199
p-value	(0)	(0)	(0)
bios;huurDVD	0.9166	0.9258	0.7827
p-value	(0)	(0)	(0)
bios;vrijetijdsbesteding	0.9492	0.998	0.9769
p-value	(0)	(0)	(0)
schouwburg;eedagsacttractie	0.9237	0.9399	0.8644
p-value	(0)	(0)	(0)
schouwburg;huurDVD	0.9027	0.9248	0.7811
p-value	(0)	(0)	(0)
schouwburg;vrijetijdsbesteding	0.9757	0.974	0.8832
p-value	(0)	(0)	(0)
eedagsacttractie;huurDVD	0.8919	0.9142	0.7841
p-value	(0)	(0)	(0)
eedagsacttractie;vrijetijdsbesteding	0.9722	0.9819	0.9108
p-value	(0)	(0)	(0)
huurDVD;vrijetijdsbesteding	0.9094	0.9269	0.7835
p-value	(0)	(0)	(0)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
bios;schouwburg & 0.9199 & 0.9721 & 0.8875 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
bios;eedagsacttractie & 0.9294 & 0.9807 & 0.9199 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
bios;huurDVD & 0.9166 & 0.9258 & 0.7827 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
bios;vrijetijdsbesteding & 0.9492 & 0.998 & 0.9769 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
schouwburg;eedagsacttractie & 0.9237 & 0.9399 & 0.8644 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
schouwburg;huurDVD & 0.9027 & 0.9248 & 0.7811 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
schouwburg;vrijetijdsbesteding & 0.9757 & 0.974 & 0.8832 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
eedagsacttractie;huurDVD & 0.8919 & 0.9142 & 0.7841 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
eedagsacttractie;vrijetijdsbesteding & 0.9722 & 0.9819 & 0.9108 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
huurDVD;vrijetijdsbesteding & 0.9094 & 0.9269 & 0.7835 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112201&T=2

[TABLE]
[ROW][C]Correlations for all pairs of data series with p-values[/C][/ROW]
[ROW][C]pair[/C][C]Pearson r[/C][C]Spearman rho[/C][C]Kendall tau[/C][/ROW]
[ROW][C]bios;schouwburg[/C][C]0.9199[/C][C]0.9721[/C][C]0.8875[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]bios;eedagsacttractie[/C][C]0.9294[/C][C]0.9807[/C][C]0.9199[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]bios;huurDVD[/C][C]0.9166[/C][C]0.9258[/C][C]0.7827[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]bios;vrijetijdsbesteding[/C][C]0.9492[/C][C]0.998[/C][C]0.9769[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]schouwburg;eedagsacttractie[/C][C]0.9237[/C][C]0.9399[/C][C]0.8644[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]schouwburg;huurDVD[/C][C]0.9027[/C][C]0.9248[/C][C]0.7811[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]schouwburg;vrijetijdsbesteding[/C][C]0.9757[/C][C]0.974[/C][C]0.8832[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]eedagsacttractie;huurDVD[/C][C]0.8919[/C][C]0.9142[/C][C]0.7841[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]eedagsacttractie;vrijetijdsbesteding[/C][C]0.9722[/C][C]0.9819[/C][C]0.9108[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]huurDVD;vrijetijdsbesteding[/C][C]0.9094[/C][C]0.9269[/C][C]0.7835[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112201&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112201&T=2

As an alternative you can also use a QR Code:

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

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
bios;schouwburg	0.9199	0.9721	0.8875
p-value	(0)	(0)	(0)
bios;eedagsacttractie	0.9294	0.9807	0.9199
p-value	(0)	(0)	(0)
bios;huurDVD	0.9166	0.9258	0.7827
p-value	(0)	(0)	(0)
bios;vrijetijdsbesteding	0.9492	0.998	0.9769
p-value	(0)	(0)	(0)
schouwburg;eedagsacttractie	0.9237	0.9399	0.8644
p-value	(0)	(0)	(0)
schouwburg;huurDVD	0.9027	0.9248	0.7811
p-value	(0)	(0)	(0)
schouwburg;vrijetijdsbesteding	0.9757	0.974	0.8832
p-value	(0)	(0)	(0)
eedagsacttractie;huurDVD	0.8919	0.9142	0.7841
p-value	(0)	(0)	(0)
eedagsacttractie;vrijetijdsbesteding	0.9722	0.9819	0.9108
p-value	(0)	(0)	(0)
huurDVD;vrijetijdsbesteding	0.9094	0.9269	0.7835
p-value	(0)	(0)	(0)

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;

Parameters (R input):

par1 = pearson ;

R code (references can be found in the software module):

panel.tau <- function(x, y, digits=2, prefix='', cex.cor)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(0, 1, 0, 1))
rr <- cor.test(x, y, method=par1)
r <- round(rr$p.value,2)
txt <- format(c(r, 0.123456789), digits=digits)[1]
txt <- paste(prefix, txt, sep='')
if(missing(cex.cor)) cex <- 0.5/strwidth(txt)
text(0.5, 0.5, txt, cex = cex)
}
panel.hist <- function(x, ...)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(usr[1:2], 0, 1.5) )
h <- hist(x, plot = FALSE)
breaks <- h$breaks; nB <- length(breaks)
y <- h$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
n
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$estimate,3))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Correlations for all pairs of data series with p-values',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'Pearson r',1,TRUE)
a<-table.element(a,'Spearman rho',1,TRUE)
a<-table.element(a,'Kendall tau',1,TRUE)
a<-table.row.end(a)
cor.test(y[1,],y[2,],method=par1)
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste(dimnames(t(x))[[2]][i],';',dimnames(t(x))[[2]][j],sep='')
a<-table.element(a,dum,header=TRUE)
rp <- cor.test(y[i,],y[j,],method='pearson')
a<-table.element(a,round(rp$estimate,4))
rs <- cor.test(y[i,],y[j,],method='spearman')
a<-table.element(a,round(rs$estimate,4))
rk <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,round(rk$estimate,4))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=T)
a<-table.element(a,paste('(',round(rp$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rs$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rk$p.value,4),')',sep=''))
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code