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R Software Modulerwasp_pairs.wasp
Title produced by softwareKendall tau Correlation Matrix
Date of computationTue, 15 Dec 2015 13:38:45 +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/15/t1450186758ucxp0pvs2s7wqid.htm/, Retrieved Sat, 18 May 2024 13:04:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286489, Retrieved Sat, 18 May 2024 13:04:59 +0000
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-       [Kendall tau Correlation Matrix] [] [2015-12-15 13:38:45] [82e318bc05a6a6c8bd1d09ba9bfa1655] [Current]
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Dataseries X:
258236 474427 2.55 4.02
265787 469740 2.47 4.3
275062 491481 1.64 3.22
282633 538141 1.59 2.26
298705 576612 2.1 2
311488 596397 2.78 2.02
326673 588261 1.8 2.76
344709 532459 1.82 3.84
354057 504865 4.49 3.91
348781 554529 -0.05 1.27
365101 567192 2.19 1
379106 546473 3.53 1.25
387419 560367 2.84 0.88
392699 584302 1.11 0.55
400643 597774 0.34 0.16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286489&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286489&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286489&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 Ronald Aylmer Fisher' @ fisher.wessa.net







Correlations for all pairs of data series (method=spearman)
BBPWerkloosheidInflatieRente_ECSB
BBP10.582-0.075-0.814
Werkloosheid0.5821-0.289-0.75
Inflatie-0.075-0.28910.304
Rente_ECSB-0.814-0.750.3041

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=spearman) \tabularnewline
  & BBP & Werkloosheid & Inflatie & Rente_ECSB \tabularnewline
BBP & 1 & 0.582 & -0.075 & -0.814 \tabularnewline
Werkloosheid & 0.582 & 1 & -0.289 & -0.75 \tabularnewline
Inflatie & -0.075 & -0.289 & 1 & 0.304 \tabularnewline
Rente_ECSB & -0.814 & -0.75 & 0.304 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286489&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=spearman)[/C][/ROW]
[ROW][C] [/C][C]BBP[/C][C]Werkloosheid[/C][C]Inflatie[/C][C]Rente_ECSB[/C][/ROW]
[ROW][C]BBP[/C][C]1[/C][C]0.582[/C][C]-0.075[/C][C]-0.814[/C][/ROW]
[ROW][C]Werkloosheid[/C][C]0.582[/C][C]1[/C][C]-0.289[/C][C]-0.75[/C][/ROW]
[ROW][C]Inflatie[/C][C]-0.075[/C][C]-0.289[/C][C]1[/C][C]0.304[/C][/ROW]
[ROW][C]Rente_ECSB[/C][C]-0.814[/C][C]-0.75[/C][C]0.304[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286489&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286489&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=spearman)
BBPWerkloosheidInflatieRente_ECSB
BBP10.582-0.075-0.814
Werkloosheid0.5821-0.289-0.75
Inflatie-0.075-0.28910.304
Rente_ECSB-0.814-0.750.3041







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
BBP;Werkloosheid0.61730.58210.4476
p-value(0.0142)(0.0253)(0.0208)
BBP;Inflatie-0.0964-0.075-0.0667
p-value(0.7326)(0.7926)(0.7705)
BBP;Rente_ECSB-0.7309-0.8143-0.6571
p-value(0.002)(3e-04)(3e-04)
Werkloosheid;Inflatie-0.3446-0.2893-0.2381
p-value(0.2085)(0.2949)(0.2395)
Werkloosheid;Rente_ECSB-0.7844-0.75-0.6
p-value(5e-04)(0.0019)(0.0013)
Inflatie;Rente_ECSB0.41640.30360.219
p-value(0.1226)(0.2708)(0.2816)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
BBP;Werkloosheid & 0.6173 & 0.5821 & 0.4476 \tabularnewline
p-value & (0.0142) & (0.0253) & (0.0208) \tabularnewline
BBP;Inflatie & -0.0964 & -0.075 & -0.0667 \tabularnewline
p-value & (0.7326) & (0.7926) & (0.7705) \tabularnewline
BBP;Rente_ECSB & -0.7309 & -0.8143 & -0.6571 \tabularnewline
p-value & (0.002) & (3e-04) & (3e-04) \tabularnewline
Werkloosheid;Inflatie & -0.3446 & -0.2893 & -0.2381 \tabularnewline
p-value & (0.2085) & (0.2949) & (0.2395) \tabularnewline
Werkloosheid;Rente_ECSB & -0.7844 & -0.75 & -0.6 \tabularnewline
p-value & (5e-04) & (0.0019) & (0.0013) \tabularnewline
Inflatie;Rente_ECSB & 0.4164 & 0.3036 & 0.219 \tabularnewline
p-value & (0.1226) & (0.2708) & (0.2816) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286489&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]BBP;Werkloosheid[/C][C]0.6173[/C][C]0.5821[/C][C]0.4476[/C][/ROW]
[ROW][C]p-value[/C][C](0.0142)[/C][C](0.0253)[/C][C](0.0208)[/C][/ROW]
[ROW][C]BBP;Inflatie[/C][C]-0.0964[/C][C]-0.075[/C][C]-0.0667[/C][/ROW]
[ROW][C]p-value[/C][C](0.7326)[/C][C](0.7926)[/C][C](0.7705)[/C][/ROW]
[ROW][C]BBP;Rente_ECSB[/C][C]-0.7309[/C][C]-0.8143[/C][C]-0.6571[/C][/ROW]
[ROW][C]p-value[/C][C](0.002)[/C][C](3e-04)[/C][C](3e-04)[/C][/ROW]
[ROW][C]Werkloosheid;Inflatie[/C][C]-0.3446[/C][C]-0.2893[/C][C]-0.2381[/C][/ROW]
[ROW][C]p-value[/C][C](0.2085)[/C][C](0.2949)[/C][C](0.2395)[/C][/ROW]
[ROW][C]Werkloosheid;Rente_ECSB[/C][C]-0.7844[/C][C]-0.75[/C][C]-0.6[/C][/ROW]
[ROW][C]p-value[/C][C](5e-04)[/C][C](0.0019)[/C][C](0.0013)[/C][/ROW]
[ROW][C]Inflatie;Rente_ECSB[/C][C]0.4164[/C][C]0.3036[/C][C]0.219[/C][/ROW]
[ROW][C]p-value[/C][C](0.1226)[/C][C](0.2708)[/C][C](0.2816)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286489&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286489&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
BBP;Werkloosheid0.61730.58210.4476
p-value(0.0142)(0.0253)(0.0208)
BBP;Inflatie-0.0964-0.075-0.0667
p-value(0.7326)(0.7926)(0.7705)
BBP;Rente_ECSB-0.7309-0.8143-0.6571
p-value(0.002)(3e-04)(3e-04)
Werkloosheid;Inflatie-0.3446-0.2893-0.2381
p-value(0.2085)(0.2949)(0.2395)
Werkloosheid;Rente_ECSB-0.7844-0.75-0.6
p-value(5e-04)(0.0019)(0.0013)
Inflatie;Rente_ECSB0.41640.30360.219
p-value(0.1226)(0.2708)(0.2816)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.330.330.33
0.020.50.330.33
0.030.50.50.5
0.040.50.50.5
0.050.50.50.5
0.060.50.50.5
0.070.50.50.5
0.080.50.50.5
0.090.50.50.5
0.10.50.50.5

\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 & 0.33 & 0.33 & 0.33 \tabularnewline
0.02 & 0.5 & 0.33 & 0.33 \tabularnewline
0.03 & 0.5 & 0.5 & 0.5 \tabularnewline
0.04 & 0.5 & 0.5 & 0.5 \tabularnewline
0.05 & 0.5 & 0.5 & 0.5 \tabularnewline
0.06 & 0.5 & 0.5 & 0.5 \tabularnewline
0.07 & 0.5 & 0.5 & 0.5 \tabularnewline
0.08 & 0.5 & 0.5 & 0.5 \tabularnewline
0.09 & 0.5 & 0.5 & 0.5 \tabularnewline
0.1 & 0.5 & 0.5 & 0.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286489&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]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.02[/C][C]0.5[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.03[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.04[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.05[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.06[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.07[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.08[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.09[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.1[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286489&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286489&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
0.010.330.330.33
0.020.50.330.33
0.030.50.50.5
0.040.50.50.5
0.050.50.50.5
0.060.50.50.5
0.070.50.50.5
0.080.50.50.5
0.090.50.50.5
0.10.50.50.5



Parameters (Session):
par1 = spearman ;
Parameters (R input):
par1 = spearman ;
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')