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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 computationWed, 07 Dec 2016 13:48:22 +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/2016/Dec/07/t1481114916q8bwe6wcm6hm5v2.htm/, Retrieved Tue, 07 May 2024 16:40:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298068, Retrieved Tue, 07 May 2024 16:40:15 +0000
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-       [Kendall tau Correlation Matrix] [] [2016-12-07 12:48:22] [349958aef20b862f8399a5ba04d6f6e3] [Current]
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Dataseries X:
2	2	3	4	3
4	2	1	4	4
4	2	5	4	5
4	3	2	5	3
4	4	3	4	4
2	2	2	4	4
4	2	2	3	4
4	5	4	3	4
5	4	4	4	3
4	2	4	4	4
1	3	5	4	4
5	5	4	4	4
1	1	5	4	4
5	4	3	3	4
3	3	3	3	4
5	4	5	5	4
3	2	4	4	4
5	2	4	4	4
2	4	3	4	3
1	2	3	4	4
4	2	3	3	2
4	4	3	4	4
5	3	5	5	3
4	4	3	4	4
2	2	4	3	4
3	4	3	4	3
1	2	1	5	4
3	2	4	4	4
3	3	4	3	4
4	4	4	4	4
4	4	4	4	4
5	2	2	4	3
3	2	4	3	4
3	1	3	4	4
4	4	3	4	5
4	3	4	2	4
4	2	3	4	4
4	3	4	4	4
4	2	5	3	5
4	4	2	4	4
4	3	3	3	4
2	2	3	4	2
4	4	3	3	4
4	5	4	4	4
4	4	3	4	4
4	3	4	4	4
5	5	3	5	4
4	4	3	4	3
5	4	4	5	4
5	4	5	2	4
2	3	3	4	4
4	4	2	4	3
3	4	2	5	4
2	2	4	4	5
5	1	3	4	4
2	4	4	4	4
4	4	3	4	4
3	4	3	4	5
4	4	4	3	5
3	4	3	4	4
4	4	4	5	5
3	1	1	3	4
3	4	4	4	4
3	3	4	5	4
3	4	4	3	4
4	5	4	4	4
4	3	4	3	3
4	1	3	4	4
2	4	3	4	4
5	2	2	4	4
4	4	4	4	4
3	3	3	3	4
4	4	2	4	4
4	2	4	4	4
2	4	4	4	4
4	4	5	4	4
3	2	4	2	3
5	2	5	3	5
5	2	4	4	3
3	5	5	4	4
2	4	4	2	4
2	3	5	5	5
2	3	2	3	5
4	4	5	4	4
3	4	4	5	4
3	4	4	4	5
4	5	3	4	4
4	4	5	3	5
4	5	5	1	3
4	5	4	4	4
4	1	5	4	4
2	3	3	4	4
5	2	3	5	4
4	5	3	4	4
2	4	4	3	4
3	5	1	5	5
3	3	4	3	4
4	3	3	4	4
3	2	5	2	4




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298068&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298068&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298068&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 Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Correlations for all pairs of data series (method=kendall)
Imago1Imago2Imago3Imago4Tevr2
Imago110.1240.0580.066-0.086
Imago20.12410.0560.0930.06
Imago30.0580.0561-0.1420.15
Imago40.0660.093-0.14210.01
Tevr2-0.0860.060.150.011

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Imago1 & Imago2 & Imago3 & Imago4 & Tevr2 \tabularnewline
Imago1 & 1 & 0.124 & 0.058 & 0.066 & -0.086 \tabularnewline
Imago2 & 0.124 & 1 & 0.056 & 0.093 & 0.06 \tabularnewline
Imago3 & 0.058 & 0.056 & 1 & -0.142 & 0.15 \tabularnewline
Imago4 & 0.066 & 0.093 & -0.142 & 1 & 0.01 \tabularnewline
Tevr2 & -0.086 & 0.06 & 0.15 & 0.01 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298068&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Imago1[/C][C]Imago2[/C][C]Imago3[/C][C]Imago4[/C][C]Tevr2[/C][/ROW]
[ROW][C]Imago1[/C][C]1[/C][C]0.124[/C][C]0.058[/C][C]0.066[/C][C]-0.086[/C][/ROW]
[ROW][C]Imago2[/C][C]0.124[/C][C]1[/C][C]0.056[/C][C]0.093[/C][C]0.06[/C][/ROW]
[ROW][C]Imago3[/C][C]0.058[/C][C]0.056[/C][C]1[/C][C]-0.142[/C][C]0.15[/C][/ROW]
[ROW][C]Imago4[/C][C]0.066[/C][C]0.093[/C][C]-0.142[/C][C]1[/C][C]0.01[/C][/ROW]
[ROW][C]Tevr2[/C][C]-0.086[/C][C]0.06[/C][C]0.15[/C][C]0.01[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298068&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298068&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)
Imago1Imago2Imago3Imago4Tevr2
Imago110.1240.0580.066-0.086
Imago20.12410.0560.0930.06
Imago30.0580.0561-0.1420.15
Imago40.0660.093-0.14210.01
Tevr2-0.0860.060.150.011







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Imago1;Imago20.16070.14250.1239
p-value(0.1122)(0.1595)(0.1425)
Imago1;Imago30.07880.06770.0576
p-value(0.4384)(0.5058)(0.4987)
Imago1;Imago40.03270.07440.0663
p-value(0.7483)(0.4643)(0.4488)
Imago1;Tevr2-0.0656-0.0975-0.0863
p-value(0.5188)(0.3368)(0.3329)
Imago2;Imago30.08540.06510.0556
p-value(0.4005)(0.5218)(0.5113)
Imago2;Imago40.06570.11030.0932
p-value(0.5183)(0.277)(0.2849)
Imago2;Tevr20.08980.06840.0603
p-value(0.3768)(0.501)(0.497)
Imago3;Imago4-0.2107-0.1585-0.1423
p-value(0.0363)(0.1171)(0.1046)
Imago3;Tevr20.13810.16720.1499
p-value(0.1729)(0.098)(0.0933)
Imago4;Tevr20.07080.01160.01
p-value(0.4862)(0.9089)(0.9135)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Imago1;Imago2 & 0.1607 & 0.1425 & 0.1239 \tabularnewline
p-value & (0.1122) & (0.1595) & (0.1425) \tabularnewline
Imago1;Imago3 & 0.0788 & 0.0677 & 0.0576 \tabularnewline
p-value & (0.4384) & (0.5058) & (0.4987) \tabularnewline
Imago1;Imago4 & 0.0327 & 0.0744 & 0.0663 \tabularnewline
p-value & (0.7483) & (0.4643) & (0.4488) \tabularnewline
Imago1;Tevr2 & -0.0656 & -0.0975 & -0.0863 \tabularnewline
p-value & (0.5188) & (0.3368) & (0.3329) \tabularnewline
Imago2;Imago3 & 0.0854 & 0.0651 & 0.0556 \tabularnewline
p-value & (0.4005) & (0.5218) & (0.5113) \tabularnewline
Imago2;Imago4 & 0.0657 & 0.1103 & 0.0932 \tabularnewline
p-value & (0.5183) & (0.277) & (0.2849) \tabularnewline
Imago2;Tevr2 & 0.0898 & 0.0684 & 0.0603 \tabularnewline
p-value & (0.3768) & (0.501) & (0.497) \tabularnewline
Imago3;Imago4 & -0.2107 & -0.1585 & -0.1423 \tabularnewline
p-value & (0.0363) & (0.1171) & (0.1046) \tabularnewline
Imago3;Tevr2 & 0.1381 & 0.1672 & 0.1499 \tabularnewline
p-value & (0.1729) & (0.098) & (0.0933) \tabularnewline
Imago4;Tevr2 & 0.0708 & 0.0116 & 0.01 \tabularnewline
p-value & (0.4862) & (0.9089) & (0.9135) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298068&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]Imago1;Imago2[/C][C]0.1607[/C][C]0.1425[/C][C]0.1239[/C][/ROW]
[ROW][C]p-value[/C][C](0.1122)[/C][C](0.1595)[/C][C](0.1425)[/C][/ROW]
[ROW][C]Imago1;Imago3[/C][C]0.0788[/C][C]0.0677[/C][C]0.0576[/C][/ROW]
[ROW][C]p-value[/C][C](0.4384)[/C][C](0.5058)[/C][C](0.4987)[/C][/ROW]
[ROW][C]Imago1;Imago4[/C][C]0.0327[/C][C]0.0744[/C][C]0.0663[/C][/ROW]
[ROW][C]p-value[/C][C](0.7483)[/C][C](0.4643)[/C][C](0.4488)[/C][/ROW]
[ROW][C]Imago1;Tevr2[/C][C]-0.0656[/C][C]-0.0975[/C][C]-0.0863[/C][/ROW]
[ROW][C]p-value[/C][C](0.5188)[/C][C](0.3368)[/C][C](0.3329)[/C][/ROW]
[ROW][C]Imago2;Imago3[/C][C]0.0854[/C][C]0.0651[/C][C]0.0556[/C][/ROW]
[ROW][C]p-value[/C][C](0.4005)[/C][C](0.5218)[/C][C](0.5113)[/C][/ROW]
[ROW][C]Imago2;Imago4[/C][C]0.0657[/C][C]0.1103[/C][C]0.0932[/C][/ROW]
[ROW][C]p-value[/C][C](0.5183)[/C][C](0.277)[/C][C](0.2849)[/C][/ROW]
[ROW][C]Imago2;Tevr2[/C][C]0.0898[/C][C]0.0684[/C][C]0.0603[/C][/ROW]
[ROW][C]p-value[/C][C](0.3768)[/C][C](0.501)[/C][C](0.497)[/C][/ROW]
[ROW][C]Imago3;Imago4[/C][C]-0.2107[/C][C]-0.1585[/C][C]-0.1423[/C][/ROW]
[ROW][C]p-value[/C][C](0.0363)[/C][C](0.1171)[/C][C](0.1046)[/C][/ROW]
[ROW][C]Imago3;Tevr2[/C][C]0.1381[/C][C]0.1672[/C][C]0.1499[/C][/ROW]
[ROW][C]p-value[/C][C](0.1729)[/C][C](0.098)[/C][C](0.0933)[/C][/ROW]
[ROW][C]Imago4;Tevr2[/C][C]0.0708[/C][C]0.0116[/C][C]0.01[/C][/ROW]
[ROW][C]p-value[/C][C](0.4862)[/C][C](0.9089)[/C][C](0.9135)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298068&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298068&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
Imago1;Imago20.16070.14250.1239
p-value(0.1122)(0.1595)(0.1425)
Imago1;Imago30.07880.06770.0576
p-value(0.4384)(0.5058)(0.4987)
Imago1;Imago40.03270.07440.0663
p-value(0.7483)(0.4643)(0.4488)
Imago1;Tevr2-0.0656-0.0975-0.0863
p-value(0.5188)(0.3368)(0.3329)
Imago2;Imago30.08540.06510.0556
p-value(0.4005)(0.5218)(0.5113)
Imago2;Imago40.06570.11030.0932
p-value(0.5183)(0.277)(0.2849)
Imago2;Tevr20.08980.06840.0603
p-value(0.3768)(0.501)(0.497)
Imago3;Imago4-0.2107-0.1585-0.1423
p-value(0.0363)(0.1171)(0.1046)
Imago3;Tevr20.13810.16720.1499
p-value(0.1729)(0.098)(0.0933)
Imago4;Tevr20.07080.01160.01
p-value(0.4862)(0.9089)(0.9135)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01000
0.02000
0.03000
0.040.100
0.050.100
0.060.100
0.070.100
0.080.100
0.090.100
0.10.10.10.1

\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 & 0 & 0 & 0 \tabularnewline
0.02 & 0 & 0 & 0 \tabularnewline
0.03 & 0 & 0 & 0 \tabularnewline
0.04 & 0.1 & 0 & 0 \tabularnewline
0.05 & 0.1 & 0 & 0 \tabularnewline
0.06 & 0.1 & 0 & 0 \tabularnewline
0.07 & 0.1 & 0 & 0 \tabularnewline
0.08 & 0.1 & 0 & 0 \tabularnewline
0.09 & 0.1 & 0 & 0 \tabularnewline
0.1 & 0.1 & 0.1 & 0.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298068&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]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.02[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.03[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.04[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.05[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.06[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.07[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.08[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.09[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298068&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298068&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
0.01000
0.02000
0.03000
0.040.100
0.050.100
0.060.100
0.070.100
0.080.100
0.090.100
0.10.10.10.1



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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
x <- na.omit(x)
y <- t(na.omit(t(y)))
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
print(n)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$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')