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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, 09 Dec 2015 11:26:04 +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/2015/Dec/09/t14496608217wp5otlueru2yjn.htm/, Retrieved Sat, 18 May 2024 10:51:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285617, Retrieved Sat, 18 May 2024 10:51:14 +0000
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Estimated Impact103
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-       [Kendall tau Correlation Matrix] [Correlatiematrix ...] [2015-12-09 11:26:04] [e1c47852802a108fd71d384bb5b16903] [Current]
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Dataseries X:
28.71 180.81 116.35
30.14 164.86 107.25
28.23 161.19 104.58
28.93 153.57 102.93
27.97 157.48 100.74
27.30 151.83 97.57
27.42 143.94 96.42
26.16 144.39 96.48
24.77 142.57 90.53
25.45 140.94 90.81
28.70 149.73 97.17
30.94 167.19 107.55
36.16 194.81 127.10
33.57 175.82 110.68
28.97 159.77 107.16
27.63 163.07 100.57
26.45 148.84 97.58
25.57 145.43 98.27
25.32 150.81 95.19
24.42 146.97 96.06
26.00 140.57 93.77
27.19 150.45 100.29
26.43 153.37 97.27
31.00 175.10 106.55
29.97 180.87 108.87
31.29 173.89 113.21
30.10 166.90 107.90
28.57 167.70 107.47
26.68 150.68 95.94
26.27 149.70 98.37
27.61 145.29 97.55
27.32 148.87 102.03
26.53 152.73 94.77
25.74 154.84 98.42
27.50 159.17 100.83
32.61 186.81 117.45
31.03 187.68 115.39
28.10 162.55 105.41
26.03 158.55 102.26
26.37 153.27 98.00
25.61 142.16 93.55
26.97 146.10 91.00
25.13 142.32 94.48
24.68 137.87 90.29
25.67 141.20 90.97
25.39 149.58 96.19
27.63 151.13 94.87
30.26 170.03 104.58
31.94 176.35 115.61
30.82 185.86 119.43
30.55 185.55 119.55
25.77 157.47 99.00
24.97 149.13 98.94
25.33 148.37 96.37
24.13 133.48 88.42
23.35 133.55 85.45
23.47 138.97 87.90
24.52 148.48 94.45
25.87 147.80 95.13
28.32 167.26 107.10
28.87 176.71 107.52
29.04 168.39 108.96
27.16 168.81 109.65
25.90 153.37 98.00
25.35 147.39 92.19
25.80 147.77 95.07
26.81 163.58 103.52
24.19 136.03 88.42
24.47 140.97 90.57
24.97 139.61 93.94
24.87 148.70 93.33
26.55 156.26 98.42
29.03 167.68 109.29
29.54 179.86 116.07
25.10 159.74 106.29
25.27 156.93 100.33
22.10 144.19 90.23
22.60 143.03 93.00
25.10 135.90 91.74
22.19 135.52 87.45
24.30 139.60 91.13
24.48 149.94 93.94
28.43 161.73 103.57
23.16 157.65 97.58




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285617&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285617&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285617&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'Sir Maurice George Kendall' @ kendall.wessa.net







Correlations for all pairs of data series (method=pearson)
St_BHGSt_VGSt_WG
St_BHG10.8520.872
St_VG0.85210.958
St_WG0.8720.9581

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & St_BHG & St_VG & St_WG \tabularnewline
St_BHG & 1 & 0.852 & 0.872 \tabularnewline
St_VG & 0.852 & 1 & 0.958 \tabularnewline
St_WG & 0.872 & 0.958 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285617&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]St_BHG[/C][C]St_VG[/C][C]St_WG[/C][/ROW]
[ROW][C]St_BHG[/C][C]1[/C][C]0.852[/C][C]0.872[/C][/ROW]
[ROW][C]St_VG[/C][C]0.852[/C][C]1[/C][C]0.958[/C][/ROW]
[ROW][C]St_WG[/C][C]0.872[/C][C]0.958[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285617&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285617&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)
St_BHGSt_VGSt_WG
St_BHG10.8520.872
St_VG0.85210.958
St_WG0.8720.9581







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
St_BHG;St_VG0.85230.82540.6378
p-value(0)(0)(0)
St_BHG;St_WG0.87190.85150.6724
p-value(0)(0)(0)
St_VG;St_WG0.9580.9430.8003
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
St_BHG;St_VG & 0.8523 & 0.8254 & 0.6378 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
St_BHG;St_WG & 0.8719 & 0.8515 & 0.6724 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
St_VG;St_WG & 0.958 & 0.943 & 0.8003 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285617&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]St_BHG;St_VG[/C][C]0.8523[/C][C]0.8254[/C][C]0.6378[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]St_BHG;St_WG[/C][C]0.8719[/C][C]0.8515[/C][C]0.6724[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]St_VG;St_WG[/C][C]0.958[/C][C]0.943[/C][C]0.8003[/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=285617&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285617&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
St_BHG;St_VG0.85230.82540.6378
p-value(0)(0)(0)
St_BHG;St_WG0.87190.85150.6724
p-value(0)(0)(0)
St_VG;St_WG0.9580.9430.8003
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=285617&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=285617&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285617&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 = pearson ;
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
x <- na.omit(x)
y <- t(na.omit(t(y)))
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
n
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$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')