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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 computationSun, 14 Dec 2014 11:03:18 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/14/t141855503269fkty6965t2aeg.htm/, Retrieved Thu, 16 May 2024 18:37:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267435, Retrieved Thu, 16 May 2024 18:37:18 +0000
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Original text written by user:
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Estimated Impact93
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-       [Kendall tau Correlation Matrix] [] [2014-12-14 11:03:18] [6e98989d1e11d52934121e5a163a7817] [Current]
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Dataseries X:
7.5	21
2.5	26
6.0	22
6.5	22
1.0	18
1.0	23
5.5	12
8.5	20
6.5	22
4.5	21
2.0	19
5.0	22
0.5	15
5.0	20
5.0	19
2.5	18
5.0	15
5.5	20
3.5	21
3.0	21
4.0	15
0.5	16
6.5	23
4.5	21
7.5	18
5.5	25
4.0	9
7.5	30
7.0	20
4.0	23
5.5	16
2.5	16
5.5	19
0.5	25
3.5	25
2.5	18
4.5	23
4.5	21
4.5	10
6.0	14
2.5	22
5.0	26
0.0	23
5.0	23
6.5	24
5.0	24
6.0	18
4.5	23
5.5	15
1.0	19
7.5	16
6.0	25
5.0	23
1.0	17
5.0	19
6.5	21
7.0	18
4.5	27
0.0	21
8.5	13
3.5	8
7.5	29
3.5	28
6.0	23
1.5	21
9.0	19
3.5	19
3.5	20
4.0	18
6.5	19
7.5	17
6.0	19
5.0	25
5.5	19
3.5	22
7.5	23
1.0	26
6.5	14
NA	28
6.5	16
6.5	24
7.0	20
3.5	12
1.5	24
4.0	22
7.5	12
4.5	22
0.0	20
3.5	10
5.5	23
5.0	17
4.5	22
2.5	24
7.5	18
7.0	21
0.0	20
4.5	20
3.0	22
1.5	19
3.5	20
2.5	26
5.5	23
8.0	24
1.0	21
5.0	21
4.5	19
3.0	8
3.0	17
8.0	20
2.5	11
7.0	8
0.0	15
1.0	18
3.5	18
5.5	19
5.5	19
0.5	23
7.5	22
9	21
9.5	25
8.5	30
7	17
8	27
10	23
7	23
8.5	18
9	18
9.5	23
4	19
6	15
8	20
5.5	16
9.5	24
7.5	25
7	25
7.5	19
8	19
7	16
7	19
6	19
10	23
2.5	21
9	22
8	19
6	20
8.5	20
6	3
9	23
8	14
8	23
9	20
5.5	15
5	13
7	16
5.5	7
9	24
2	17
8.5	24
9	24
8.5	19
9	25
7.5	20
10	28
9	23
7.5	27
6	18
10.5	28
8.5	21
8	19
10	23
10.5	27
6.5	22
9.5	28
8.5	25
7.5	21
5	22
8	28
10	20
7	29
7.5	25
7.5	25
9.5	20
6	20
10	16
7	20
3	20
6	23
7	18
10	25
7	18
3.5	19
8	25
10	25
5.5	25
6	24
6.5	19
6.5	26
8.5	10
4	17
9.5	13
8	17
8.5	30
5.5	25
7	4
9	16
8	21
10	23
8	22
6	17
8	20
5	20
9	22
4.5	16
8.5	23
7	16
9.5	0
8.5	18
7.5	25
7.5	23
5	12
7	18
8	24
5.5	11
8.5	18
7.5	14
9.5	23
7	24
8	29
8.5	18
3.5	15
6.5	29
6.5	16
10.5	19
8.5	22
8	16
10	23
10	23
9.5	19
9	4
10	20
7.5	24
4.5	20
4.5	4
0.5	24
6.5	22
4.5	16
5.5	3
5	15
6	24
4	17
8	20
10.5	27
8.5	23
6.5	26
8	23
8.5	17
5.5	20
7	22
5	19
3.5	24
5	19
9	23
8.5	15
5	27
9.5	26
3	22
1.5	22
6	18
0.5	15
6.5	22
7.5	27
4.5	10
8	20
9	17
7.5	23
8.5	19
7	13
9.5	27
6.5	23
9.5	16
6	25
8	2
9.5	26
8	20
8	23
9	22
5	24




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267435&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267435&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267435&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'George Udny Yule' @ yule.wessa.net







Correlations for all pairs of data series (method=kendall)
EXNUM
EX10.133
NUM0.1331

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & EX & NUM \tabularnewline
EX & 1 & 0.133 \tabularnewline
NUM & 0.133 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267435&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]EX[/C][C]NUM[/C][/ROW]
[ROW][C]EX[/C][C]1[/C][C]0.133[/C][/ROW]
[ROW][C]NUM[/C][C]0.133[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267435&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267435&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)
EXNUM
EX10.133
NUM0.1331







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
EX;NUM0.13740.18840.1326
p-value(0.0201)(0.0014)(0.0016)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
EX;NUM & 0.1374 & 0.1884 & 0.1326 \tabularnewline
p-value & (0.0201) & (0.0014) & (0.0016) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267435&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]EX;NUM[/C][C]0.1374[/C][C]0.1884[/C][C]0.1326[/C][/ROW]
[ROW][C]p-value[/C][C](0.0201)[/C][C](0.0014)[/C][C](0.0016)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267435&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267435&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
EX;NUM0.13740.18840.1326
p-value(0.0201)(0.0014)(0.0016)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01011
0.02011
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 & 0 & 1 & 1 \tabularnewline
0.02 & 0 & 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=267435&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]1[/C][C]1[/C][/ROW]
[ROW][C]0.02[/C][C]0[/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=267435&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267435&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
0.01011
0.02011
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 <- 'kendall'
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')