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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 computationFri, 12 Dec 2014 11:12:18 +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/12/t1418382759ybntfups0ns7y0w.htm/, Retrieved Thu, 16 May 2024 18:19:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266516, Retrieved Thu, 16 May 2024 18:19:13 +0000
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-     [Stem-and-leaf Plot] [] [2013-10-01 09:27:37] [0307e7a6407eb638caabc417e3a6b260]
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Dataseries X:
1 1 1 1
1 1 1 1
1 2 1 1
1 1 1 1
1 1 1 1
2 2 2 3
2 2 2 2
3 5 2 1
1 1 1 1
1 1 1 1
1 2 1 2
1 1 1 1
2 2 2 2
1 1 1 1
1 1 1 1
3 2 3 3
1 1 1 1
1 1 1 1
2 2 1 1
1 1 3 1
1 1 1 1
2 3 2 1
1 2 1 1
1 1 1 1
3 4 1 1
1 1 1 1
2 3 1 1
3 3 2 2
1 1 1 1
1 1 1 1
1 4 1 1
2 6 2 2
1 4 1 1
2 1 1 1
2 2 2 2
1 2 1 1
1 1 1 1
3 2 2 2
3 2 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
2 3 1 1
1 1 1 1
1 4 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
2 2 2 2
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 2 2 2
3 3 1 5
1 1 1 1
1 1 1 1
1 1 1 1
1 2 1 1
2 6 2 5
1 2 1 1
2 5 2 1
2 2 3 2
1 5 1 1
1 1 1 1
1 2 1 1
1 1 1 1
2 3 2 2
1 1 1 1
1 4 1 4
1 1 1 1
1 1 1 1
1 3 1 1
1 4 1 1
2 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
2 2 1 1
3 2 3 2
2 2 2 1
1 1 1 1
1 1 1 1
2 2 2 1
1 1 1 1
2 2 2 2
3 4 2 2
3 1 1 1
5 3 3 3
1 1 2 1
1 1 1 1
2 3 2 1
2 2 3 2
1 1 1 1
1 1 1 1
1 2 1 1
1 1 1 1
2 1 1 1
1 1 1 1
1 1 1 1
2 2 2 1
3 5 1 1
1 1 1 1
1 1 2 1
1 1 1 1
1 1 1 1
1 1 1 1
1 2 2 1
1 1 1 1
2 2 2 2
1 2 1 1
1 1 1 1
5 5 2 5
1 1 1 1
1 1 1 1
1 4 2 1
1 1 1 1
1 3 2 1
1 1 1 1
1 1 1 1
1 2 1 1
1 4 1 1
1 1 1 1
1 1 1 1
1 3 2 1
2 2 5 2
2 2 2 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
2 1 1 2
2 1 3 2
6 5 6 6
1 1 1 1
2 2 2 2
2 2 1 1
1 1 1 1
2 2 2 1
1 1 1 1
1 1 1 1
1 1 1 1
2 4 2 2
1 3 1 1
1 2 1 1
1 1 2 1
1 1 1 1
1 1 1 1
2 1 1 1
1 2 1 1
1 2 1 1
1 1 2 1
1 1 1 1
2 2 1 1
1 1 1 1
1 1 1 1
1 1 1 1
2 3 2 2
5 4 5 4
2 2 1 1
2 1 1 1
1 1 1 1
3 5 1 2
1 1 1 1
3 2 3 2
2 2 1 1
2 2 2 2
2 2 2 2
2 2 1 1
2 3 1 2
1 1 1 1
1 1 1 1
3 2 2 2
3 2 2 2
2 1 1 1
1 1 1 1
1 1 1 1
2 4 5 4
2 5 2 1
2 5 1 1
2 2 2 1
2 5 1 1
2 2 1 1
1 1 1 1
1 2 2 2
1 1 1 1
1 4 1 1
1 1 1 1
4 4 4 3
1 1 1 1
3 2 2 2
1 1 1 1
1 1 1 1
7 7 7 7
1 1 1 1
1 1 1 1
1 1 1 1
1 2 1 1
1 1 1 1
1 1 1 1
3 3 3 3
1 1 1 1
1 3 1 1
2 2 1 1
1 2 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 4 1 4
2 2 2 1
1 1 1 1
1 1 4 1
1 1 1 1
1 1 1 1
3 3 3 3
1 2 1 1
2 3 1 2
2 2 1 1
5 4 4 4
1 1 1 1
2 1 1 1
1 1 1 1
2 1 1 1
1 1 1 2
2 1 1 2
1 1 1 1
1 1 1 1
1 1 1 1
2 2 1 1
2 2 2 2
2 5 1 2
1 1 1 1
2 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
4 6 4 2
2 2 1 2
1 1 1 1
1 1 1 1
4 4 2 4
1 2 1 1
1 2 1 1
1 2 1 1
1 2 1 1
2 3 1 1
6 6 4 3
4 4 4 4
1 1 1 1
1 1 1 1
1 1 1 4
2 3 2 2
1 2 1 1
5 3 3 3
1 1 1 1
4 4 4 4
1 1 4 4
1 2 1 1
1 3 1 1
1 1 1 1
1 1 1 1
1 1 1 1
2 1 1 1
1 1 1 1
1 1 1 1
2 1 1 1
1 1 1 1
1 1 1 1
2 1 1 1
2 2 2 2
4 7 3 1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266516&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266516&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266516&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Correlations for all pairs of data series (method=pearson)
AMS5AMS12AMS19AMS26
AMS510.640.7220.701
AMS120.6410.5080.532
AMS190.7220.50810.706
AMS260.7010.5320.7061

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & AMS5 & AMS12 & AMS19 & AMS26 \tabularnewline
AMS5 & 1 & 0.64 & 0.722 & 0.701 \tabularnewline
AMS12 & 0.64 & 1 & 0.508 & 0.532 \tabularnewline
AMS19 & 0.722 & 0.508 & 1 & 0.706 \tabularnewline
AMS26 & 0.701 & 0.532 & 0.706 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266516&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]AMS5[/C][C]AMS12[/C][C]AMS19[/C][C]AMS26[/C][/ROW]
[ROW][C]AMS5[/C][C]1[/C][C]0.64[/C][C]0.722[/C][C]0.701[/C][/ROW]
[ROW][C]AMS12[/C][C]0.64[/C][C]1[/C][C]0.508[/C][C]0.532[/C][/ROW]
[ROW][C]AMS19[/C][C]0.722[/C][C]0.508[/C][C]1[/C][C]0.706[/C][/ROW]
[ROW][C]AMS26[/C][C]0.701[/C][C]0.532[/C][C]0.706[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266516&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266516&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)
AMS5AMS12AMS19AMS26
AMS510.640.7220.701
AMS120.6410.5080.532
AMS190.7220.50810.706
AMS260.7010.5320.7061







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
AMS5;AMS120.63970.62010.5732
p-value(0)(0)(0)
AMS5;AMS190.7220.62220.5955
p-value(0)(0)(0)
AMS5;AMS260.70110.6250.6
p-value(0)(0)(0)
AMS12;AMS190.50780.53150.4902
p-value(0)(0)(0)
AMS12;AMS260.53230.52070.4873
p-value(0)(0)(0)
AMS19;AMS260.70610.67690.6536
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
AMS5;AMS12 & 0.6397 & 0.6201 & 0.5732 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS5;AMS19 & 0.722 & 0.6222 & 0.5955 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS5;AMS26 & 0.7011 & 0.625 & 0.6 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS12;AMS19 & 0.5078 & 0.5315 & 0.4902 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS12;AMS26 & 0.5323 & 0.5207 & 0.4873 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS19;AMS26 & 0.7061 & 0.6769 & 0.6536 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266516&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]AMS5;AMS12[/C][C]0.6397[/C][C]0.6201[/C][C]0.5732[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS5;AMS19[/C][C]0.722[/C][C]0.6222[/C][C]0.5955[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS5;AMS26[/C][C]0.7011[/C][C]0.625[/C][C]0.6[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS12;AMS19[/C][C]0.5078[/C][C]0.5315[/C][C]0.4902[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS12;AMS26[/C][C]0.5323[/C][C]0.5207[/C][C]0.4873[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS19;AMS26[/C][C]0.7061[/C][C]0.6769[/C][C]0.6536[/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=266516&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266516&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
AMS5;AMS120.63970.62010.5732
p-value(0)(0)(0)
AMS5;AMS190.7220.62220.5955
p-value(0)(0)(0)
AMS5;AMS260.70110.6250.6
p-value(0)(0)(0)
AMS12;AMS190.50780.53150.4902
p-value(0)(0)(0)
AMS12;AMS260.53230.52070.4873
p-value(0)(0)(0)
AMS19;AMS260.70610.67690.6536
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=266516&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=266516&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266516&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):
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')