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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 15:30:40 +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/t1481121238ijzmu8tnsomma7p.htm/, Retrieved Tue, 07 May 2024 08:00:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298149, Retrieved Tue, 07 May 2024 08:00:28 +0000
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-       [Kendall tau Correlation Matrix] [Correlatie Matrix...] [2016-12-07 14:30:40] [8fee619fda962476c4dedef05f7f9476] [Current]
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Dataseries X:
4	5	5	4
5	5	5	4
5	5	4	4
3	4	4	4
5	5	5	4
5	5	5	4
5	4	5	5
5	5	4	4
5	5	5	5
4	3	4	3
3	5	4	3
4	5	5	4
5	5	5	4
4	4	4	4
5	4	5	4
4	5	5	4
5	4	4	4
5	4	5	5
5	5	5	4
3	5	5	4
4	5	5	4
4	4	4	4
5	5	5	5
3	4	3	3
5	5	4	5
4	4	4	3
4	5	4	4
4	5	4	4
4	3	5	4
5	4	5	3
5	5	5	4
4	4	5	5
5	5	5	4
5	5	5	5
4	4	4	4
5	4	4	4
4	4	4	4
4	5	4	3
4	4	4	4
4	4	4	4
4	3	4	3
5	5	4	3
5	4	5	4
4	4	4	4
4	4	4	4
4	4	4	4
4	4	4	3
5	5	5	4
4	4	4	4
4	5	4	4
5	5	5	4
4	5	4	4
4	5	4	4
4	4	4	3
5	4	3	4
4	4	4	4
5	4	4	3
4	5	4	4
4	5	5	4
4	5	5	4
5	5	5	3
5	5	5	4
4	4	3	3
4	2	4	3
4	5	5	4
4	4	4	4
4	4	4	3
4	5	5	4
4	5	5	4
2	5	4	5
5	5	5	4
4	5	4	4
5	5	4	3
5	5	5	4
4	5	5	5
5	5	5	5
5	5	5	4
4	5	5	4
4	4	4	4
4	4	4	4
4	3	4	4
5	5	5	5
4	5	4	3
4	4	4	4
5	5	5	5
5	5	5	5
4	5	5	4
5	4	2	4
4	3	4	3
4	4	4	4
3	4	3	4
4	5	5	4
5	5	5	5
5	5	5	5
4	5	5	4
5	5	5	5
3	4	4	3
5	5	5	5
4	5	4	4
5	5	5	5
3	4	4	3
4	4	4	4
5	5	5	5
5	5	5	4
4	5	4	5
4	5	4	4
4	5	4	4
5	4	5	5
4	4	4	3
5	4	5	4
4	3	4	4
4	4	4	4
4	4	4	4
5	5	5	5
5	5	4	4
5	5	5	5
5	5	5	3
4	5	4	4
5	4	5	5
4	5	5	4
5	5	5	4
5	4	3	5
5	5	4	4
4	5	4	4
4	4	4	4
5	5	5	4
5	5	4	4
4	5	4	4
5	5	4	4
4	4	4	4
5	5	5	5
4	3	4	3
4	5	4	4
3	3	2	5
2	3	4	4
4	5	4	4
4	5	5	4
4	4	4	4
5	5	5	4
3	5	5	4
4	5	4	3
4	5	4	4
5	5	4	3
4	5	4	4
5	5	5	5
3	4	4	3
5	5	5	5
5	5	5	4
3	5	5	3
5	5	5	4
4	5	4	4
5	5	5	4
5	5	5	5
5	4	5	5
5	5	5	4
4	5	4	3
5	4	5	4
5	4	2	5
4	5	4	4
4	5	5	4
4	4	5	3
4	5	4	4
4	4	4	3
5	5	5	3




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=298149&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=298149&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298149&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)
IK1IK2IK3IK4
IK110.2770.4460.348
IK20.27710.4310.211
IK30.4460.43110.327
IK40.3480.2110.3271

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & IK1 & IK2 & IK3 & IK4 \tabularnewline
IK1 & 1 & 0.277 & 0.446 & 0.348 \tabularnewline
IK2 & 0.277 & 1 & 0.431 & 0.211 \tabularnewline
IK3 & 0.446 & 0.431 & 1 & 0.327 \tabularnewline
IK4 & 0.348 & 0.211 & 0.327 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298149&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]IK1[/C][C]IK2[/C][C]IK3[/C][C]IK4[/C][/ROW]
[ROW][C]IK1[/C][C]1[/C][C]0.277[/C][C]0.446[/C][C]0.348[/C][/ROW]
[ROW][C]IK2[/C][C]0.277[/C][C]1[/C][C]0.431[/C][C]0.211[/C][/ROW]
[ROW][C]IK3[/C][C]0.446[/C][C]0.431[/C][C]1[/C][C]0.327[/C][/ROW]
[ROW][C]IK4[/C][C]0.348[/C][C]0.211[/C][C]0.327[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298149&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298149&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)
IK1IK2IK3IK4
IK110.2770.4460.348
IK20.27710.4310.211
IK30.4460.43110.327
IK40.3480.2110.3271







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
IK1;IK20.29830.29260.2767
p-value(1e-04)(1e-04)(2e-04)
IK1;IK30.38040.46340.4459
p-value(0)(0)(0)
IK1;IK40.3250.3680.3476
p-value(0)(0)(0)
IK2;IK30.43550.45240.4309
p-value(0)(0)(0)
IK2;IK40.24210.22550.2112
p-value(0.0018)(0.0037)(0.0039)
IK3;IK40.25510.34630.3271
p-value(0.001)(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
IK1;IK2 & 0.2983 & 0.2926 & 0.2767 \tabularnewline
p-value & (1e-04) & (1e-04) & (2e-04) \tabularnewline
IK1;IK3 & 0.3804 & 0.4634 & 0.4459 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
IK1;IK4 & 0.325 & 0.368 & 0.3476 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
IK2;IK3 & 0.4355 & 0.4524 & 0.4309 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
IK2;IK4 & 0.2421 & 0.2255 & 0.2112 \tabularnewline
p-value & (0.0018) & (0.0037) & (0.0039) \tabularnewline
IK3;IK4 & 0.2551 & 0.3463 & 0.3271 \tabularnewline
p-value & (0.001) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298149&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]IK1;IK2[/C][C]0.2983[/C][C]0.2926[/C][C]0.2767[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](1e-04)[/C][C](2e-04)[/C][/ROW]
[ROW][C]IK1;IK3[/C][C]0.3804[/C][C]0.4634[/C][C]0.4459[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]IK1;IK4[/C][C]0.325[/C][C]0.368[/C][C]0.3476[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]IK2;IK3[/C][C]0.4355[/C][C]0.4524[/C][C]0.4309[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]IK2;IK4[/C][C]0.2421[/C][C]0.2255[/C][C]0.2112[/C][/ROW]
[ROW][C]p-value[/C][C](0.0018)[/C][C](0.0037)[/C][C](0.0039)[/C][/ROW]
[ROW][C]IK3;IK4[/C][C]0.2551[/C][C]0.3463[/C][C]0.3271[/C][/ROW]
[ROW][C]p-value[/C][C](0.001)[/C][C](0)[/C][C](0)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298149&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298149&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
IK1;IK20.29830.29260.2767
p-value(1e-04)(1e-04)(2e-04)
IK1;IK30.38040.46340.4459
p-value(0)(0)(0)
IK1;IK40.3250.3680.3476
p-value(0)(0)(0)
IK2;IK30.43550.45240.4309
p-value(0)(0)(0)
IK2;IK40.24210.22550.2112
p-value(0.0018)(0.0037)(0.0039)
IK3;IK40.25510.34630.3271
p-value(0.001)(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=298149&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=298149&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298149&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 = kendall ;
Parameters (R input):
par1 = kendall ;
R code (references can be found in the software module):
par1 <- 'pearson'
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')