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*The author of this computation has been verified*

R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Mon, 10 Dec 2012 14:40:19 -0500

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/2012/Dec/10/t1355168437nw85yr2y9t48cvq.htm/, Retrieved Tue, 30 Apr 2024 05:32:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=198305, Retrieved Tue, 30 Apr 2024 05:32:13 +0000

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No (this computation is public)

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Estimated Impact

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]
- RMPD    [Kendall tau Correlation Matrix] [WS10 - F2] [2012-12-10 19:40:19] [0ab7a1f5c5e2896cc7067de738ff1e9d] [Current]

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Dataseries X:

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Histogram

Boxplots

1,593	1,613	1,524
1,619	1,638	1,486
1,619	1,638	1,486
1,618	1,638	1,486
1,618	1,638	1,486
1,618	1,638	1,486
1,653	1,673	1,523
1,653	1,673	1,523
1,653	1,673	1,523
1,653	1,673	1,523
1,653	1,673	1,523
1,653	1,673	1,523
1,653	1,673	1,523
1,653	1,673	1,55
1,667	1,688	1,55
1,667	1,688	1,55
1,667	1,688	1,55
1,667	1,688	1,55
1,667	1,688	1,55
1,667	1,688	1,55
1,667	1,688	1,516
1,667	1,688	1,516
1,667	1,688	1,516
1,667	1,688	1,516
1,667	1,688	1,516
1,667	1,688	1,516
1,667	1,688	1,516
1,667	1,688	1,516
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,498
1,667	1,688	1,542
1,667	1,688	1,542
1,667	1,688	1,526
1,687	1,707	1,526
1,687	1,707	1,526
1,687	1,707	1,526
1,687	1,707	1,526
1,687	1,707	1,526
1,687	1,707	1,526
1,687	1,707	1,55
1,687	1,707	1,55
1,687	1,707	1,55
1,687	1,707	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,713	1,733	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,55
1,741	1,76	1,579
1,769	1,789	1,579
1,769	1,789	1,579
1,769	1,789	1,579
1,769	1,789	1,579
1,769	1,789	1,579
1,769	1,789	1,579
1,769	1,789	1,579
1,769	1,789	1,579
1,743	1,762	1,552
1,743	1,762	1,552
1,743	1,762	1,552
1,743	1,762	1,552
1,743	1,762	1,552
1,743	1,762	1,552
1,789	1,808	1,552
1,789	1,808	1,552
1,789	1,808	1,552
1,789	1,808	1,552
1,789	1,809	1,553
1,789	1,809	1,553
1,789	1,809	1,553
1,789	1,809	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,804	1,824	1,553
1,777	1,797	1,553
1,777	1,797	1,538
1,777	1,797	1,538
1,777	1,797	1,538
1,777	1,797	1,538
1,777	1,797	1,538
1,777	1,797	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,736	1,756	1,538
1,719	1,759	1,538
1,719	1,759	1,538
1,719	1,759	1,538
1,719	1,759	1,538
1,719	1,759	1,538
1,719	1,759	1,503
1,719	1,759	1,503
1,719	1,759	1,503
1,719	1,759	1,503
1,719	1,759	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,693	1,733	1,503
1,71	1,752	1,503
1,71	1,752	1,503
1,71	1,752	1,503
1,71	1,752	1,503
1,71	1,752	1,503
1,71	1,752	1,467
1,71	1,752	1,467
1,687	1,729	1,467
1,687	1,729	1,467
1,687	1,729	1,467
1,687	1,729	1,467
1,687	1,729	1,467
1,687	1,729	1,467
1,659	1,7	1,467
1,659	1,7	1,467
1,659	1,7	1,467
1,659	1,7	1,467
1,659	1,7	1,467
1,659	1,7	1,467
1,659	1,7	1,467
1,659	1,7	1,45
1,659	1,7	1,45
1,641	1,682	1,45
1,641	1,682	1,45
1,641	1,682	1,45
1,641	1,682	1,45
1,641	1,682	1,45
1,641	1,682	1,45
1,641	1,682	1,45
1,641	1,682	1,45
1,641	1,682	1,45

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	'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198305&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198305&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198305&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	'Gertrude Mary Cox' @ cox.wessa.net

Correlations for all pairs of data series (method=kendall)
	Super95	Super98	Diesel
Super95	1	0.924	0.603
Super98	0.924	1	0.527
Diesel	0.603	0.527	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Super95 & Super98 & Diesel \tabularnewline
Super95 & 1 & 0.924 & 0.603 \tabularnewline
Super98 & 0.924 & 1 & 0.527 \tabularnewline
Diesel & 0.603 & 0.527 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198305&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Super95[/C][C]Super98[/C][C]Diesel[/C][/ROW]
[ROW][C]Super95[/C][C]1[/C][C]0.924[/C][C]0.603[/C][/ROW]
[ROW][C]Super98[/C][C]0.924[/C][C]1[/C][C]0.527[/C][/ROW]
[ROW][C]Diesel[/C][C]0.603[/C][C]0.527[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198305&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198305&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=kendall)
	Super95	Super98	Diesel
Super95	1	0.924	0.603
Super98	0.924	1	0.527
Diesel	0.603	0.527	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
Super95;Super98	0.9814	0.9824	0.9239
p-value	(0)	(0)	(0)
Super95;Diesel	0.6795	0.7611	0.6027
p-value	(0)	(0)	(0)
Super98;Diesel	0.5628	0.6795	0.5267
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
Super95;Super98 & 0.9814 & 0.9824 & 0.9239 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Super95;Diesel & 0.6795 & 0.7611 & 0.6027 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Super98;Diesel & 0.5628 & 0.6795 & 0.5267 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198305&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]Super95;Super98[/C][C]0.9814[/C][C]0.9824[/C][C]0.9239[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Super95;Diesel[/C][C]0.6795[/C][C]0.7611[/C][C]0.6027[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Super98;Diesel[/C][C]0.5628[/C][C]0.6795[/C][C]0.5267[/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=198305&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198305&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
Super95;Super98	0.9814	0.9824	0.9239
p-value	(0)	(0)	(0)
Super95;Diesel	0.6795	0.7611	0.6027
p-value	(0)	(0)	(0)
Super98;Diesel	0.5628	0.6795	0.5267
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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code