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R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Mon, 09 Nov 2009 04:06:28 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/09/t1257765027dt191tsfte3yffy.htm/, Retrieved Thu, 25 Apr 2024 08:46:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54730, Retrieved Thu, 25 Apr 2024 08:46:38 +0000

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No (this computation is public)

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Estimated Impact

198

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

-       [Kendall tau Correlation Matrix] [workshop 6] [2009-11-09 11:06:28] [e81f30a5c3daacfe71a556c99a478849] [Current]

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Dataseries X:

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6.9	4.8	2.28
6.8	4.8	2.26
6.7	4.7	2.71
6.6	4.7	2.77
6.5	4.7	2.77
6.5	4.6	2.64
7.0	5.0	2.56
7.5	5.4	2.07
7.6	5.5	2.32
7.6	5.6	2.16
7.6	5.6	2.23
7.8	5.8	2.40
8.0	6.0	2.84
8.0	6.1	2.77
8.0	6.1	2.93
7.9	6.0	2.91
7.9	6.0	2.69
8.0	6.1	2.38
8.5	6.5	2.58
9.2	7.1	3.19
9.4	7.4	2.82
9.5	7.4	2.72
9.5	7.5	2.53
9.6	7.6	2.70
9.7	7.8	2.42
9.7	7.8	2.50
9.6	7.7	2.31
9.5	7.6	2.41
9.4	7.5	2.56
9.3	7.3	2.76
9.6	7.6	2.71
10.2	8.0	2.44
10.2	8.8	2.46
10.1	7.9	2.12
9.9	7.8	1.99
9.8	7.7	1.86
9.8	7.8	1.88
9.7	7.7	1.82
9.5	7.5	1.74
9.3	7.3	1.71
9.1	7.1	1.38
9.0	7.0	1.27
9.5	7.3	1.19
10.0	7.8	1.28
10.2	7.9	1.19
10.1	7.9	1.22
10.0	7.8	1.47
9.9	7.8	1.46
10.0	7.9	1.96
9.9	7.8	1.88
9.7	7.6	2.03
9.5	7.4	2.04
9.2	7.2	1.90
9.0	6.9	1.80
9.3	7.1	1.92
9.8	7.5	1.92
9.8	7.6	1.97
9.6	7.4	2.46
9.4	7.3	2.36
9.3	7.2	2.53
9.2	7.3	2.31
9.2	7.2	1.98
9.0	7.1	1.46
8.8	7.0	1.26
8.7	6.9	1.58
8.7	6.8	1.74
9.1	7.2	1.89
9.7	7.6	1.85
9.8	7.7	1.62
9.6	7.6	1.30
9.4	7.5	1.42
9.4	7.5	1.15
9.5	7.6	0.42
9.4	7.6	0.74
9.3	7.6	1.02
9.2	7.5	1.51
9.0	7.3	1.86
8.9	7.2	1.59
9.2	7.4	1.03
9.8	8.0	0.44
9.9	8.2	0.82
9.6	8.0	0.86
9.2	7.7	0.58
9.1	7.7	0.59
9.1	7.8	0.95
9.0	7.8	0.98
8.9	7.7	1.23
8.7	7.5	1.17
8.5	7.3	0.84
8.3	7.1	0.74
8.5	7.1	0.65
8.7	7.2	0.91
8.4	6.8	1.19
8.1	6.6	1.30
7.8	6.4	1.53
7.7	6.4	1.94
7.5	6.5	1.79
7.2	6.3	1.95
6.8	5.9	2.26
6.7	5.5	2.04
6.4	5.2	2.16
6.3	4.9	2.75
6.8	5.4	2.79
7.3	5.8	2.88
7.1	5.7	3.36
7.0	5.6	2.97
6.8	5.5	3.10
6.6	5.4	2.49
6.3	5.4	2.20
6.1	5.4	2.25
6.1	5.5	2.09
6.3	5.8	2.79
6.3	5.7	3.14
6.0	5.4	2.93
6.2	5.6	2.65
6.4	5.8	2.67
6.8	6.2	2.26
7.5	6.8	2.35
7.5	6.7	2.13
7.6	6.7	2.18
7.6	6.4	2.90
7.4	6.3	2.63
7.3	6.3	2.67
7.1	6.4	1.81
6.9	6.3	1.33
6.8	6.0	0.88
7.5	6.3	1.28
7.6	6.3	1.26
7.8	6.6	1.26
8.0	7.5	1.29
8.1	7.8	1.10
8.2	7.9	1.37
8.3	7.8	1.21
8.2	7.6	1.74
8.0	7.5	1.76
7.9	7.6	1.48
7.6	7.5	1.04
7.6	7.3	1.62
8.3	7.6	1.49
8.4	7.5	1.79
8.4	7.6	1.80
8.4	7.9	1.58
8.4	7.9	1.86
8.6	8.1	1.74
8.9	8.2	1.59
8.8	8.0	1.26
8.3	7.5	1.13
7.5	6.8	1.92
7.2	6.5	2.61
7.4	6.6	2.26
8.8	7.6	2.41
9.3	8.0	2.26
9.3	8.1	2.03
8.7	7.7	2.86
8.2	7.5	2.55
8.3	7.6	2.27
8.5	7.8	2.26
8.6	7.8	2.57
8.5	7.8	3.07
8.2	7.5	2.76
8.1	7.5	2.51
7.9	7.1	2.87
8.6	7.5	3.14
8.7	7.5	3.11
8.7	7.6	3.16
8.5	7.7	2.47
8.4	7.7	2.57
8.5	7.9	2.89
8.7	8.1	2.63
8.7	8.2	2.38
8.6	8.2	1.69
8.5	8.2	1.96
8.3	7.9	2.19
8.0	7.3	1.87
8.2	6.9	1.6
8.1	6.6	1.63
8.1	6.7	1.22
8.0	6.9	1.21
7.9	7.0	1.49
7.9	7.1	1.64

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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54730&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54730&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54730&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( Totwerkl , werklman )	0.598856841359808	0
tau( Totwerkl , inflatie )	-0.196193610266963	0.000115102473078996
tau( werklman , inflatie )	-0.218104045412738	2.11417624322092e-05

\begin{tabular}{lllllllll}
\hline
Kendall tau rank correlations for all pairs of data series \tabularnewline
pair & tau & p-value \tabularnewline
tau( Totwerkl , werklman ) & 0.598856841359808 & 0 \tabularnewline
tau( Totwerkl , inflatie ) & -0.196193610266963 & 0.000115102473078996 \tabularnewline
tau( werklman , inflatie ) & -0.218104045412738 & 2.11417624322092e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54730&T=1

[TABLE]
[ROW][C]Kendall tau rank correlations for all pairs of data series[/C][/ROW]
[ROW][C]pair[/C][C]tau[/C][C]p-value[/C][/ROW]
[ROW][C]tau( Totwerkl , werklman )[/C][C]0.598856841359808[/C][C]0[/C][/ROW]
[ROW][C]tau( Totwerkl , inflatie )[/C][C]-0.196193610266963[/C][C]0.000115102473078996[/C][/ROW]
[ROW][C]tau( werklman , inflatie )[/C][C]-0.218104045412738[/C][C]2.11417624322092e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54730&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54730&T=1

As an alternative you can also use a QR Code:

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

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( Totwerkl , werklman )	0.598856841359808	0
tau( Totwerkl , inflatie )	-0.196193610266963	0.000115102473078996
tau( werklman , inflatie )	-0.218104045412738	2.11417624322092e-05

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

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='kendall')
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kendall tau rank correlations for all pairs of data series',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'tau',1,TRUE)
a<-table.element(a,'p-value',1,TRUE)
a<-table.row.end(a)
n <- length(y[,1])
n
cor.test(y[1,],y[2,],method='kendall')
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste('tau(',dimnames(t(x))[[2]][i])
dum <- paste(dum,',')
dum <- paste(dum,dimnames(t(x))[[2]][j])
dum <- paste(dum,')')
a<-table.element(a,dum,header=TRUE)
r <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,r$estimate)
a<-table.element(a,r$p.value)
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code