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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 computationThu, 31 Jan 2019 15:49:28 +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/2019/Jan/31/t1548946418jtjg55csuxs0flj.htm/, Retrieved Sun, 05 May 2024 10:51:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=318313, Retrieved Sun, 05 May 2024 10:51:11 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact20
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [] [2019-01-31 14:49:28] [8607e318ea7bb53061252e65c5c0fa8a] [Current]
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Dataseries X:
22 13 14
24 16 19
26 17 17
21 NA 17
26 NA 15
25 16 20
21 NA 15
24 NA 19
27 NA 15
28 17 15
23 17 19
25 15 NA
24 16 20
24 14 18
24 16 15
25 17 14
25 NA 20
NA NA NA
25 NA 16
25 NA 16
24 16 16
26 NA 10
26 16 19
25 NA 19
26 NA 16
23 NA 15
24 16 18
24 15 17
25 16 19
25 16 17
24 13 NA
28 15 19
27 17 20
NA NA 5
23 13 19
23 17 16
24 NA 15
24 14 16
22 14 18
25 18 16
25 NA 15
28 17 17
22 13 NA
28 16 20
25 15 19
24 15 7
24 NA 13
23 15 16
25 13 16
NA NA NA
26 17 18
25 NA 18
27 NA 16
26 11 17
23 14 19
25 13 16
21 NA 19
22 17 13
24 16 16
25 NA 13
27 17 12
24 16 17
26 16 17
21 16 17
27 15 16
22 12 16
23 17 14
24 14 16
25 14 13
24 16 16
23 NA 14
28 NA 20
NA NA 12
24 NA 13
26 NA 18
22 15 14
25 16 19
25 14 18
24 15 14
24 17 18
26 NA 19
21 10 15
25 NA 14
25 17 17
26 NA 19
25 20 13
26 17 19
27 18 18
25 NA 20
NA 17 15
20 14 15
24 NA 15
26 17 20
25 NA 15
25 17 19
24 NA 18
26 16 18
25 18 15
28 18 20
27 16 17
25 NA 12
26 NA 18
26 15 19
26 13 20
NA NA NA
28 NA 17
NA NA 15
21 NA 16
25 NA 18
25 16 18
24 NA 14
24 NA 15
24 NA 12
23 12 17
23 NA 14
24 16 18
24 16 17
25 NA 17
28 16 20
23 14 16
24 15 14
23 14 15
24 NA 18
25 15 20
24 NA 17
23 15 17
23 16 17
25 NA 17
21 NA 15
22 NA 17
19 11 18
24 NA 17
25 18 20
21 NA 15
22 11 16
23 NA 15
27 18 18
NA NA 11
26 15 15
29 19 18
28 17 20
24 NA 19
25 14 14
25 NA 16
22 13 15
25 17 17
26 14 18
26 19 20
24 14 17
25 NA 18
19 NA 15
25 16 16
23 16 11
25 15 15
25 12 18
26 NA 17
27 17 16
24 NA 12
22 NA 19
25 18 18
24 15 15
23 18 17
27 15 19
24 NA 18
24 NA 19
21 NA 16
25 16 16
25 NA 16
23 16 14




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318313&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=318313&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318313&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







Correlations for all pairs of data series (method=pearson)
SKEOUSUMTVDCITHSUM
SKEOUSUM10.4640.332
TVDC0.46410.115
ITHSUM0.3320.1151

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & SKEOUSUM & TVDC & ITHSUM \tabularnewline
SKEOUSUM & 1 & 0.464 & 0.332 \tabularnewline
TVDC & 0.464 & 1 & 0.115 \tabularnewline
ITHSUM & 0.332 & 0.115 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318313&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]SKEOUSUM[/C][C]TVDC[/C][C]ITHSUM[/C][/ROW]
[ROW][C]SKEOUSUM[/C][C]1[/C][C]0.464[/C][C]0.332[/C][/ROW]
[ROW][C]TVDC[/C][C]0.464[/C][C]1[/C][C]0.115[/C][/ROW]
[ROW][C]ITHSUM[/C][C]0.332[/C][C]0.115[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318313&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318313&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)
SKEOUSUMTVDCITHSUM
SKEOUSUM10.4640.332
TVDC0.46410.115
ITHSUM0.3320.1151







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
SKEOUSUM;TVDC0.46430.41310.3292
p-value(0)(0)(0)
SKEOUSUM;ITHSUM0.33240.39490.3041
p-value(8e-04)(1e-04)(1e-04)
TVDC;ITHSUM0.11520.17340.1337
p-value(0.2561)(0.0861)(0.0836)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
SKEOUSUM;TVDC & 0.4643 & 0.4131 & 0.3292 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
SKEOUSUM;ITHSUM & 0.3324 & 0.3949 & 0.3041 \tabularnewline
p-value & (8e-04) & (1e-04) & (1e-04) \tabularnewline
TVDC;ITHSUM & 0.1152 & 0.1734 & 0.1337 \tabularnewline
p-value & (0.2561) & (0.0861) & (0.0836) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318313&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]SKEOUSUM;TVDC[/C][C]0.4643[/C][C]0.4131[/C][C]0.3292[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]SKEOUSUM;ITHSUM[/C][C]0.3324[/C][C]0.3949[/C][C]0.3041[/C][/ROW]
[ROW][C]p-value[/C][C](8e-04)[/C][C](1e-04)[/C][C](1e-04)[/C][/ROW]
[ROW][C]TVDC;ITHSUM[/C][C]0.1152[/C][C]0.1734[/C][C]0.1337[/C][/ROW]
[ROW][C]p-value[/C][C](0.2561)[/C][C](0.0861)[/C][C](0.0836)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318313&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318313&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
SKEOUSUM;TVDC0.46430.41310.3292
p-value(0)(0)(0)
SKEOUSUM;ITHSUM0.33240.39490.3041
p-value(8e-04)(1e-04)(1e-04)
TVDC;ITHSUM0.11520.17340.1337
p-value(0.2561)(0.0861)(0.0836)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.670.670.67
0.020.670.670.67
0.030.670.670.67
0.040.670.670.67
0.050.670.670.67
0.060.670.670.67
0.070.670.670.67
0.080.670.670.67
0.090.6711
0.10.6711

\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 & 0.67 & 0.67 & 0.67 \tabularnewline
0.02 & 0.67 & 0.67 & 0.67 \tabularnewline
0.03 & 0.67 & 0.67 & 0.67 \tabularnewline
0.04 & 0.67 & 0.67 & 0.67 \tabularnewline
0.05 & 0.67 & 0.67 & 0.67 \tabularnewline
0.06 & 0.67 & 0.67 & 0.67 \tabularnewline
0.07 & 0.67 & 0.67 & 0.67 \tabularnewline
0.08 & 0.67 & 0.67 & 0.67 \tabularnewline
0.09 & 0.67 & 1 & 1 \tabularnewline
0.1 & 0.67 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318313&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]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.02[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.03[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.04[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.05[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.06[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.07[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.08[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[ROW][C]0.09[/C][C]0.67[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.1[/C][C]0.67[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318313&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318313&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
0.010.670.670.67
0.020.670.670.67
0.030.670.670.67
0.040.670.670.67
0.050.670.670.67
0.060.670.670.67
0.070.670.670.67
0.080.670.670.67
0.090.6711
0.10.6711



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