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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

Tue, 14 Dec 2010 20:57:52 +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/14/t129236038279uskwml1z8uon9.htm/, Retrieved Thu, 02 May 2024 23:53:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110196, Retrieved Thu, 02 May 2024 23:53:04 +0000

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No (this computation is public)

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Estimated Impact

119

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 18:04:16] [b98453cac15ba1066b407e146608df68]
-   PD    [Kendall tau Correlation Matrix] [Kendal Tau] [2010-12-14 20:57:52] [214713b86cef2e1efaaf6d85aa84ff3c] [Current]

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Dataseries X:

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Histogram

Boxplots

3.18	0.22	6.62	3.64
3.14	0.22	6.56	3.62
3.02	0.23	6.59	3.61
3.02	0.24	6.56	3.6
3.03	0.25	6.57	3.6
3.04	0.25	6.62	3.63
3.09	0.24	6.69	3.59
3.06	0.24	6.69	3.55
3.06	0.22	6.64	3.54
3.09	0.21	6.6	3.53
3.11	0.21	6.66	3.53
3.1	0.21	6.62	3.53
3.09	0.2	6.64	3.52
3.19	0.2	6.64	3.52
3.22	0.2	6.73	3.48
3.22	0.2	6.73	3.49
3.25	0.2	6.69	3.47
3.25	0.2	6.78	3.46
3.27	0.2	6.77	3.4
3.28	0.2	6.8	3.36
3.24	0.2	6.8	3.3
3.23	0.2	6.74	3.28
3.2	0.2	6.84	3.28
3.19	0.2	6.83	3.24
3.23	0.2	6.89	3.23
3.19	0.2	6.9	3.2
3.16	0.2	6.86	3.15
3.11	0.2	6.78	3.1
3.11	0.2	6.82	3.07
3.07	0.2	6.81	3.03
3.05	0.21	6.81	2.96
3	0.2	6.78	2.88
2.95	0.2	6.79	2.83
2.9	0.19	6.83	2.8
2.88	0.18	6.9	2.8
2.9	0.18	6.79	2.79
2.89	0.17	6.88	2.79
2.89	0.17	6.89	2.78
2.91	0.17	6.91	2.79
2.9	0.17	6.93	2.78
2.9	0.17	6.89	2.78
2.88	0.16	7	2.74
2.83	0.16	7.01	2.71
2.8	0.16	7.15	2.69
2.77	0.16	7.25	2.68
2.78	0.16	7.33	2.68
2.75	0.16	7.39	2.68
2.74	0.15	7.38	2.69
2.73	0.15	7.38	2.68
2.69	0.15	7.35	2.69
2.67	0.15	7.38	2.68
2.66	0.15	7.34	2.68
2.67	0.16	7.25	2.63
2.65	0.15	7.07	2.58
2.64	0.15	6.73	2.52
2.63	0.15	6.56	2.5

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110196&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]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=110196&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110196&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Correlations for all pairs of data series (method=pearson)
	Mayonaise	Eieren	Olijfolie	Mosterd
Mayonaise	1	0.745	-0.653	0.828
Eieren	0.745	1	-0.773	0.897
Olijfolie	-0.653	-0.773	1	-0.728
Mosterd	0.828	0.897	-0.728	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Mayonaise & Eieren & Olijfolie & Mosterd \tabularnewline
Mayonaise & 1 & 0.745 & -0.653 & 0.828 \tabularnewline
Eieren & 0.745 & 1 & -0.773 & 0.897 \tabularnewline
Olijfolie & -0.653 & -0.773 & 1 & -0.728 \tabularnewline
Mosterd & 0.828 & 0.897 & -0.728 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110196&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Mayonaise[/C][C]Eieren[/C][C]Olijfolie[/C][C]Mosterd[/C][/ROW]
[ROW][C]Mayonaise[/C][C]1[/C][C]0.745[/C][C]-0.653[/C][C]0.828[/C][/ROW]
[ROW][C]Eieren[/C][C]0.745[/C][C]1[/C][C]-0.773[/C][C]0.897[/C][/ROW]
[ROW][C]Olijfolie[/C][C]-0.653[/C][C]-0.773[/C][C]1[/C][C]-0.728[/C][/ROW]
[ROW][C]Mosterd[/C][C]0.828[/C][C]0.897[/C][C]-0.728[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110196&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110196&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)
	Mayonaise	Eieren	Olijfolie	Mosterd
Mayonaise	1	0.745	-0.653	0.828
Eieren	0.745	1	-0.773	0.897
Olijfolie	-0.653	-0.773	1	-0.728
Mosterd	0.828	0.897	-0.728	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
Mayonaise;Eieren	0.7446	0.697	0.5209
p-value	(0)	(0)	(0)
Mayonaise;Olijfolie	-0.653	-0.5047	-0.3634
p-value	(0)	(1e-04)	(1e-04)
Mayonaise;Mosterd	0.8279	0.7564	0.5889
p-value	(0)	(0)	(0)
Eieren;Olijfolie	-0.7726	-0.7807	-0.6877
p-value	(0)	(0)	(0)
Eieren;Mosterd	0.8973	0.9464	0.8457
p-value	(0)	(0)	(0)
Olijfolie;Mosterd	-0.7284	-0.7929	-0.6903
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
Mayonaise;Eieren & 0.7446 & 0.697 & 0.5209 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Mayonaise;Olijfolie & -0.653 & -0.5047 & -0.3634 \tabularnewline
p-value & (0) & (1e-04) & (1e-04) \tabularnewline
Mayonaise;Mosterd & 0.8279 & 0.7564 & 0.5889 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Eieren;Olijfolie & -0.7726 & -0.7807 & -0.6877 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Eieren;Mosterd & 0.8973 & 0.9464 & 0.8457 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Olijfolie;Mosterd & -0.7284 & -0.7929 & -0.6903 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110196&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]Mayonaise;Eieren[/C][C]0.7446[/C][C]0.697[/C][C]0.5209[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Mayonaise;Olijfolie[/C][C]-0.653[/C][C]-0.5047[/C][C]-0.3634[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](1e-04)[/C][C](1e-04)[/C][/ROW]
[ROW][C]Mayonaise;Mosterd[/C][C]0.8279[/C][C]0.7564[/C][C]0.5889[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Eieren;Olijfolie[/C][C]-0.7726[/C][C]-0.7807[/C][C]-0.6877[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Eieren;Mosterd[/C][C]0.8973[/C][C]0.9464[/C][C]0.8457[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Olijfolie;Mosterd[/C][C]-0.7284[/C][C]-0.7929[/C][C]-0.6903[/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=110196&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110196&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
Mayonaise;Eieren	0.7446	0.697	0.5209
p-value	(0)	(0)	(0)
Mayonaise;Olijfolie	-0.653	-0.5047	-0.3634
p-value	(0)	(1e-04)	(1e-04)
Mayonaise;Mosterd	0.8279	0.7564	0.5889
p-value	(0)	(0)	(0)
Eieren;Olijfolie	-0.7726	-0.7807	-0.6877
p-value	(0)	(0)	(0)
Eieren;Mosterd	0.8973	0.9464	0.8457
p-value	(0)	(0)	(0)
Olijfolie;Mosterd	-0.7284	-0.7929	-0.6903
p-value	(0)	(0)	(0)

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = kendall ;

Parameters (R input):

par1 = kendall ;

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