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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, 13 Dec 2017 10:42:30 +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/2017/Dec/13/t15131582129ba1nrficegirbd.htm/, Retrieved Wed, 15 May 2024 16:13:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309231, Retrieved Wed, 15 May 2024 16:13:40 +0000
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-       [Kendall tau Correlation Matrix] [correlatiematrix ] [2017-12-13 09:42:30] [b96fd9fc55b2111e8fcab34a88822fe0] [Current]
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Dataseries X:
0.03	8.723	11.10	0.99	0.22
0.81	5.166	6.15	0.02	0.06
0.47	2.542	8.30	0.09	0.24
0.38	7.542	8.80	0.03	0.22
0.42	2.450	22.10	0.90	0.25
0.01	536.00	17.85	0.05	0.39
0.00	4.400	17.10	0.99	0.15
0.53	994.00	27.85	0.96	0.47
0.19	4.390	24.95	0.01	0.17
0.01	8.135	21.00	0.01	0.46
0.09	4.356	19.60	0.01	0.23
0.14	1.031	23.65	0.14	0.22
0.17	3.940	26.30	0.06	0.07
0.02	452.00	8.10	0.04	0.25
0.53	8.694	-5.10	0.01	0.13




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=309231&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=309231&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309231&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=pearson)
SpiritsBBPHoofdGemTempMusimPercPercPoverty
Spirits10.038-0.351-0.044-0.255
BBPHoofd0.03810.2450.2480.637
GemTemp-0.3510.24510.2570.36
MusimPerc-0.0440.2480.25710.182
PercPoverty-0.2550.6370.360.1821

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Spirits & BBPHoofd & GemTemp & MusimPerc & PercPoverty \tabularnewline
Spirits & 1 & 0.038 & -0.351 & -0.044 & -0.255 \tabularnewline
BBPHoofd & 0.038 & 1 & 0.245 & 0.248 & 0.637 \tabularnewline
GemTemp & -0.351 & 0.245 & 1 & 0.257 & 0.36 \tabularnewline
MusimPerc & -0.044 & 0.248 & 0.257 & 1 & 0.182 \tabularnewline
PercPoverty & -0.255 & 0.637 & 0.36 & 0.182 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309231&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Spirits[/C][C]BBPHoofd[/C][C]GemTemp[/C][C]MusimPerc[/C][C]PercPoverty[/C][/ROW]
[ROW][C]Spirits[/C][C]1[/C][C]0.038[/C][C]-0.351[/C][C]-0.044[/C][C]-0.255[/C][/ROW]
[ROW][C]BBPHoofd[/C][C]0.038[/C][C]1[/C][C]0.245[/C][C]0.248[/C][C]0.637[/C][/ROW]
[ROW][C]GemTemp[/C][C]-0.351[/C][C]0.245[/C][C]1[/C][C]0.257[/C][C]0.36[/C][/ROW]
[ROW][C]MusimPerc[/C][C]-0.044[/C][C]0.248[/C][C]0.257[/C][C]1[/C][C]0.182[/C][/ROW]
[ROW][C]PercPoverty[/C][C]-0.255[/C][C]0.637[/C][C]0.36[/C][C]0.182[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309231&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309231&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)
SpiritsBBPHoofdGemTempMusimPercPercPoverty
Spirits10.038-0.351-0.044-0.255
BBPHoofd0.03810.2450.2480.637
GemTemp-0.3510.24510.2570.36
MusimPerc-0.0440.2480.25710.182
PercPoverty-0.2550.6370.360.1821







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Spirits;BBPHoofd0.0385-0.1395-0.1058
p-value(0.8917)(0.6199)(0.5853)
Spirits;GemTemp-0.3508-0.1216-0.0481
p-value(0.1998)(0.6658)(0.8041)
Spirits;MusimPerc-0.0444-0.1301-0.0796
p-value(0.8751)(0.644)(0.688)
Spirits;PercPoverty-0.2545-0.248-0.2059
p-value(0.3599)(0.3729)(0.2948)
BBPHoofd;GemTemp0.245-0.2357-0.181
p-value(0.3789)(0.3966)(0.3795)
BBPHoofd;MusimPerc0.2476-0.0415-0.0394
p-value(0.3736)(0.8833)(0.8412)
BBPHoofd;PercPoverty0.63740.34260.2233
p-value(0.0106)(0.2113)(0.2523)
GemTemp;MusimPerc0.2570.220.1774
p-value(0.3552)(0.4307)(0.3673)
GemTemp;PercPoverty0.36010.27980.1651
p-value(0.1874)(0.3124)(0.3975)
MusimPerc;PercPoverty0.18190.13220.1005
p-value(0.5163)(0.6385)(0.6145)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Spirits;BBPHoofd & 0.0385 & -0.1395 & -0.1058 \tabularnewline
p-value & (0.8917) & (0.6199) & (0.5853) \tabularnewline
Spirits;GemTemp & -0.3508 & -0.1216 & -0.0481 \tabularnewline
p-value & (0.1998) & (0.6658) & (0.8041) \tabularnewline
Spirits;MusimPerc & -0.0444 & -0.1301 & -0.0796 \tabularnewline
p-value & (0.8751) & (0.644) & (0.688) \tabularnewline
Spirits;PercPoverty & -0.2545 & -0.248 & -0.2059 \tabularnewline
p-value & (0.3599) & (0.3729) & (0.2948) \tabularnewline
BBPHoofd;GemTemp & 0.245 & -0.2357 & -0.181 \tabularnewline
p-value & (0.3789) & (0.3966) & (0.3795) \tabularnewline
BBPHoofd;MusimPerc & 0.2476 & -0.0415 & -0.0394 \tabularnewline
p-value & (0.3736) & (0.8833) & (0.8412) \tabularnewline
BBPHoofd;PercPoverty & 0.6374 & 0.3426 & 0.2233 \tabularnewline
p-value & (0.0106) & (0.2113) & (0.2523) \tabularnewline
GemTemp;MusimPerc & 0.257 & 0.22 & 0.1774 \tabularnewline
p-value & (0.3552) & (0.4307) & (0.3673) \tabularnewline
GemTemp;PercPoverty & 0.3601 & 0.2798 & 0.1651 \tabularnewline
p-value & (0.1874) & (0.3124) & (0.3975) \tabularnewline
MusimPerc;PercPoverty & 0.1819 & 0.1322 & 0.1005 \tabularnewline
p-value & (0.5163) & (0.6385) & (0.6145) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309231&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]Spirits;BBPHoofd[/C][C]0.0385[/C][C]-0.1395[/C][C]-0.1058[/C][/ROW]
[ROW][C]p-value[/C][C](0.8917)[/C][C](0.6199)[/C][C](0.5853)[/C][/ROW]
[ROW][C]Spirits;GemTemp[/C][C]-0.3508[/C][C]-0.1216[/C][C]-0.0481[/C][/ROW]
[ROW][C]p-value[/C][C](0.1998)[/C][C](0.6658)[/C][C](0.8041)[/C][/ROW]
[ROW][C]Spirits;MusimPerc[/C][C]-0.0444[/C][C]-0.1301[/C][C]-0.0796[/C][/ROW]
[ROW][C]p-value[/C][C](0.8751)[/C][C](0.644)[/C][C](0.688)[/C][/ROW]
[ROW][C]Spirits;PercPoverty[/C][C]-0.2545[/C][C]-0.248[/C][C]-0.2059[/C][/ROW]
[ROW][C]p-value[/C][C](0.3599)[/C][C](0.3729)[/C][C](0.2948)[/C][/ROW]
[ROW][C]BBPHoofd;GemTemp[/C][C]0.245[/C][C]-0.2357[/C][C]-0.181[/C][/ROW]
[ROW][C]p-value[/C][C](0.3789)[/C][C](0.3966)[/C][C](0.3795)[/C][/ROW]
[ROW][C]BBPHoofd;MusimPerc[/C][C]0.2476[/C][C]-0.0415[/C][C]-0.0394[/C][/ROW]
[ROW][C]p-value[/C][C](0.3736)[/C][C](0.8833)[/C][C](0.8412)[/C][/ROW]
[ROW][C]BBPHoofd;PercPoverty[/C][C]0.6374[/C][C]0.3426[/C][C]0.2233[/C][/ROW]
[ROW][C]p-value[/C][C](0.0106)[/C][C](0.2113)[/C][C](0.2523)[/C][/ROW]
[ROW][C]GemTemp;MusimPerc[/C][C]0.257[/C][C]0.22[/C][C]0.1774[/C][/ROW]
[ROW][C]p-value[/C][C](0.3552)[/C][C](0.4307)[/C][C](0.3673)[/C][/ROW]
[ROW][C]GemTemp;PercPoverty[/C][C]0.3601[/C][C]0.2798[/C][C]0.1651[/C][/ROW]
[ROW][C]p-value[/C][C](0.1874)[/C][C](0.3124)[/C][C](0.3975)[/C][/ROW]
[ROW][C]MusimPerc;PercPoverty[/C][C]0.1819[/C][C]0.1322[/C][C]0.1005[/C][/ROW]
[ROW][C]p-value[/C][C](0.5163)[/C][C](0.6385)[/C][C](0.6145)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309231&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309231&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
Spirits;BBPHoofd0.0385-0.1395-0.1058
p-value(0.8917)(0.6199)(0.5853)
Spirits;GemTemp-0.3508-0.1216-0.0481
p-value(0.1998)(0.6658)(0.8041)
Spirits;MusimPerc-0.0444-0.1301-0.0796
p-value(0.8751)(0.644)(0.688)
Spirits;PercPoverty-0.2545-0.248-0.2059
p-value(0.3599)(0.3729)(0.2948)
BBPHoofd;GemTemp0.245-0.2357-0.181
p-value(0.3789)(0.3966)(0.3795)
BBPHoofd;MusimPerc0.2476-0.0415-0.0394
p-value(0.3736)(0.8833)(0.8412)
BBPHoofd;PercPoverty0.63740.34260.2233
p-value(0.0106)(0.2113)(0.2523)
GemTemp;MusimPerc0.2570.220.1774
p-value(0.3552)(0.4307)(0.3673)
GemTemp;PercPoverty0.36010.27980.1651
p-value(0.1874)(0.3124)(0.3975)
MusimPerc;PercPoverty0.18190.13220.1005
p-value(0.5163)(0.6385)(0.6145)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01000
0.020.100
0.030.100
0.040.100
0.050.100
0.060.100
0.070.100
0.080.100
0.090.100
0.10.100

\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 & 0 & 0 \tabularnewline
0.02 & 0.1 & 0 & 0 \tabularnewline
0.03 & 0.1 & 0 & 0 \tabularnewline
0.04 & 0.1 & 0 & 0 \tabularnewline
0.05 & 0.1 & 0 & 0 \tabularnewline
0.06 & 0.1 & 0 & 0 \tabularnewline
0.07 & 0.1 & 0 & 0 \tabularnewline
0.08 & 0.1 & 0 & 0 \tabularnewline
0.09 & 0.1 & 0 & 0 \tabularnewline
0.1 & 0.1 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309231&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]0[/C][C]0[/C][/ROW]
[ROW][C]0.02[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.03[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.04[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.05[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.06[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.07[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.08[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.09[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.1[/C][C]0.1[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309231&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309231&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
0.01000
0.020.100
0.030.100
0.040.100
0.050.100
0.060.100
0.070.100
0.080.100
0.090.100
0.10.100



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