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Author*The author of this computation has been verified*
R Software Modulerwasp_pairs.wasp
Title produced by softwareKendall tau Correlation Matrix
Date of computationTue, 14 Jul 2015 20:28:34 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Jul/14/t1436902131pibfgybysinzsbj.htm/, Retrieved Sat, 23 May 2026 17:28:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279573, Retrieved Sat, 23 May 2026 17:28:25 +0000
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-       [Kendall tau Correlation Matrix] [survey ] [2015-07-14 19:28:34] [8145b3fe416df466b077d26de89041cd] [Current]
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Dataseries X:
18 12 20
23 20 25
23 20 19
22 14 18
22 25 24
19 15 20
25 20 20
28 21 24
16 15 21
28 28 28
21 11 10
22 22 22
24 22 19
24 27 27
26 24 23
28 23 24
24 24 24
20 21 25
26 20 24
21 19 21
28 25 28
27 16 28
23 24 22
24 21 26
24 22 26
22 25 21
21 23 26
25 20 23
20 21 20
21 22 24
26 25 25
23 23 24
21 19 20
27 27 23
27 21 24
25 19 25
23 25 23
25 16 21
23 24 23
19 24 21
22 18 18
24 28 24
19 15 18
21 17 21
27 18 23
25 26 25
25 18 22
23 22 22
17 19 23
28 17 24
25 26 25
20 21 22
25 26 24
21 21 21
24 12 24
28 20 25
20 20 23
19 24 27
24 24 27
21 22 23
24 21 18
23 20 20
18 23 23
27 19 24
25 24 26
20 21 20
21 16 23
23 17 22
27 23 23
24 20 17
27 19 20
24 18 22
23 18 18
24 21 19
21 20 19
23 17 16
22 20 24
27 25 26
25 17 25
19 17 23
24 24 18
25 21 22
23 22 26
23 18 25
25 22 26
26 20 26
26 21 24
16 21 22
23 20 21
26 18 22
25 25 28
23 23 22
26 21 26
22 20 20
20 21 24
27 20 21
20 22 23
22 15 23
24 24 23
21 22 22
24 21 23
26 17 21
24 23 27
24 22 23
27 23 26
25 16 27
27 18 27
19 25 23
22 18 23
22 14 23
25 20 28
23 19 24
24 18 20
24 22 23
23 21 22
22 14 15
24 5 27
19 25 23
25 21 23
26 11 20
18 20 18
24 9 22
28 15 20
23 23 21
19 21 25
19 9 19
27 24 25
24 16 24
26 20 22
21 15 28
25 18 22
28 22 21
19 21 23
20 21 19
26 21 21
27 20 25
23 24 23
18 15 28
23 24 14
21 18 23
23 24 24
22 24 25
21 15 15
14 19 23
24 20 26
26 26 21
24 26 26
26 18 15
22 23 23
20 13 15
20 16 16
20 19 20
18 22 20
18 21 20
25 11 21
28 23 28
23 18 19
20 19 21
22 15 22
27 8 27
24 15 20
23 21 17
20 25 26
22 14 21
21 21 24
24 18 21
26 18 25
24 12 22
18 24 17
17 17 14
23 20 23
21 24 28
21 22 24
24 15 22
22 22 24
24 26 25
24 17 21
24 23 22
23 19 16
21 21 18
24 23 27
19 19 17
19 18 25
23 16 24
25 23 21
24 13 21
21 18 19
18 23 27
23 21 28
20 23 19
23 16 23
23 17 25
23 20 26
23 18 25
27 20 25
19 19 24
25 26 24
25 9 24
21 23 22
25 9 21
17 13 17
22 27 23
23 22 17
27 12 25
27 18 19
5 6 8
19 17 14
24 22 22
23 22 25
28 23 28
25 19 25
27 20 24
16 17 15
23 18 25
25 24 24
26 20 28
24 18 24
23 23 25
24 27 23
27 25 26
25 24 26
19 12 22
19 16 25
14 16 20
24 24 22
20 23 26
21 24 20
28 24 26
26 26 26
19 19 21
23 28 21
23 23 24
21 21 21
26 19 18
25 23 23
25 23 26
24 20 23
23 18 25
22 20 20
27 28 25
26 21 26
23 25 19
22 18 21
26 24 23
22 28 24
17 9 6
25 22 22
22 26 21
28 28 28
22 18 24
21 23 14
21 22 17
24 15 20
26 24 28
26 12 19
24 12 24
27 20 21
22 25 21
23 24 26
22 23 24
23 18 26
15 20 25
20 22 23
22 20 24
25 25 24
27 28 26
24 25 23
21 14 20
17 16 16
26 24 24
20 13 20
22 19 23
24 18 23
23 16 18
22 8 21
28 27 25
21 23 23
24 20 26
28 20 26
25 26 24
24 23 23
24 24 21
21 21 23
20 15 20
26 22 23




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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=279573&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=279573&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279573&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Correlations for all pairs of data series (method=pearson)
AMS.E1AMS.E2AMS.E3
AMS.E110.2420.423
AMS.E20.24210.356
AMS.E30.4230.3561

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & AMS.E1 & AMS.E2 & AMS.E3 \tabularnewline
AMS.E1 & 1 & 0.242 & 0.423 \tabularnewline
AMS.E2 & 0.242 & 1 & 0.356 \tabularnewline
AMS.E3 & 0.423 & 0.356 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279573&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]AMS.E1[/C][C]AMS.E2[/C][C]AMS.E3[/C][/ROW]
[ROW][C]AMS.E1[/C][C]1[/C][C]0.242[/C][C]0.423[/C][/ROW]
[ROW][C]AMS.E2[/C][C]0.242[/C][C]1[/C][C]0.356[/C][/ROW]
[ROW][C]AMS.E3[/C][C]0.423[/C][C]0.356[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279573&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279573&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)
AMS.E1AMS.E2AMS.E3
AMS.E110.2420.423
AMS.E20.24210.356
AMS.E30.4230.3561







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
AMS.E1;AMS.E20.2420.19470.1432
p-value(0)(0.001)(9e-04)
AMS.E1;AMS.E30.42270.37230.2818
p-value(0)(0)(0)
AMS.E2;AMS.E30.3560.33320.2459
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
AMS.E1;AMS.E2 & 0.242 & 0.1947 & 0.1432 \tabularnewline
p-value & (0) & (0.001) & (9e-04) \tabularnewline
AMS.E1;AMS.E3 & 0.4227 & 0.3723 & 0.2818 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS.E2;AMS.E3 & 0.356 & 0.3332 & 0.2459 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279573&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]AMS.E1;AMS.E2[/C][C]0.242[/C][C]0.1947[/C][C]0.1432[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0.001)[/C][C](9e-04)[/C][/ROW]
[ROW][C]AMS.E1;AMS.E3[/C][C]0.4227[/C][C]0.3723[/C][C]0.2818[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS.E2;AMS.E3[/C][C]0.356[/C][C]0.3332[/C][C]0.2459[/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=279573&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279573&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
pairPearson rSpearman rhoKendall tau
AMS.E1;AMS.E20.2420.19470.1432
p-value(0)(0.001)(9e-04)
AMS.E1;AMS.E30.42270.37230.2818
p-value(0)(0)(0)
AMS.E2;AMS.E30.3560.33320.2459
p-value(0)(0)(0)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01111
0.02111
0.03111
0.04111
0.05111
0.06111
0.07111
0.08111
0.09111
0.1111

\begin{tabular}{lllllllll}
\hline
Meta Analysis of Correlation Tests \tabularnewline
Number of significant by total number of Correlations \tabularnewline
Type I error & Pearson r & Spearman rho & Kendall tau \tabularnewline
0.01 & 1 & 1 & 1 \tabularnewline
0.02 & 1 & 1 & 1 \tabularnewline
0.03 & 1 & 1 & 1 \tabularnewline
0.04 & 1 & 1 & 1 \tabularnewline
0.05 & 1 & 1 & 1 \tabularnewline
0.06 & 1 & 1 & 1 \tabularnewline
0.07 & 1 & 1 & 1 \tabularnewline
0.08 & 1 & 1 & 1 \tabularnewline
0.09 & 1 & 1 & 1 \tabularnewline
0.1 & 1 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279573&T=3

[TABLE]
[ROW][C]Meta Analysis of Correlation Tests[/C][/ROW]
[ROW][C]Number of significant by total number of Correlations[/C][/ROW]
[ROW][C]Type I error[/C][C]Pearson r[/C][C]Spearman rho[/C][C]Kendall tau[/C][/ROW]
[ROW][C]0.01[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.02[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.03[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.04[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.05[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.06[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.07[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.08[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.09[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.1[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279573&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279573&T=3

As an alternative you can also use a QR Code:  

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

Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01111
0.02111
0.03111
0.04111
0.05111
0.06111
0.07111
0.08111
0.09111
0.1111



Parameters (Session):
par1 = pearson ;
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')
ncorrs <- (n*n -n)/2
mycorrs <- array(0, dim=c(10,3))
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)
for (iii in 1:10) {
iiid100 <- iii / 100
if (rp$p.value < iiid100) mycorrs[iii, 1] = mycorrs[iii, 1] + 1
if (rs$p.value < iiid100) mycorrs[iii, 2] = mycorrs[iii, 2] + 1
if (rk$p.value < iiid100) mycorrs[iii, 3] = mycorrs[iii, 3] + 1
}
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Correlation Tests',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of significant by total number of Correlations',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type I error',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)
for (iii in 1:10) {
iiid100 <- iii / 100
a<-table.row.start(a)
a<-table.element(a,round(iiid100,2),header=T)
a<-table.element(a,round(mycorrs[iii,1]/ncorrs,2))
a<-table.element(a,round(mycorrs[iii,2]/ncorrs,2))
a<-table.element(a,round(mycorrs[iii,3]/ncorrs,2))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')