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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 computationSun, 14 Dec 2014 21:49:48 +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/14/t1418593813lxacfzud24ty1qd.htm/, Retrieved Thu, 16 May 2024 17:06:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267901, Retrieved Thu, 16 May 2024 17:06:21 +0000
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-       [Kendall tau Correlation Matrix] [] [2014-12-14 21:49:48] [37e054ac358b2aa7c2a1d0b751dfa890] [Current]
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Dataseries X:
23 24 13 27 2
22 18 23 30 4
26 17 24 24 4
41 21 22 16 4
23 17 18 27 5
33 19 17 18 3
31 19 22 24 2
35 24 27 24 4
28 17 15 18 3
31 20 19 22 4
23 24 23 25 4
25 18 11 16 2
30 22 19 18 4
30 17 14 24 2
19 22 20 24 4
32 26 21 29 4
50 23 23 22 4
27 20 19 21 4
36 20 17 23 3
31 18 24 24 4
26 25 25 23 3
32 25 16 19 5
35 19 21 24 4
30 26 28 20 2
38 24 25 24 4
41 24 22 30 5
27 20 16 17 4
28 21 22 22 4
24 18 14 24 3
21 14 10 20 2
39 14 18 23 4
33 26 18 19 1
28 16 17 22 3
47 23 19 24 2
26 21 23 20 4
25 11 18 24 4
34 21 17 26 2
30 16 19 24 3
30 21 21 24 4
25 24 21 24 2
19 14 10 21 2
28 18 18 22 4
39 29 22 29 1
20 12 9 23 2
30 19 24 22 3
31 21 21 25 2
19 20 15 23 4
25 19 17 24 3
52 28 29 30 4
33 21 26 24 4
22 21 18 24 2
32 16 20 20 3
17 13 11 16 3
31 22 19 27 4
20 30 14 13 3
29 18 24 29 5
37 22 14 27 4
21 20 17 24 4
23 19 15 24 2
30 19 22 23 2
21 21 18 22 2
24 19 23 26 4
40 23 27 26 4
20 17 13 21 2
33 19 21 23 3
20 15 13 20 2
26 20 20 28 4
22 24 25 29 4
32 17 13 16 3
13 10 10 25 2
28 23 23 28 4
32 22 18 24 4
27 21 15 24 2
32 18 25 24 2
23 19 20 12 4
28 23 17 22 3
23 19 23 22 4
29 24 21 24 3
26 20 16 26 4
15 17 17 24 4
14 20 14 26 1
19 22 21 22 3
19 15 13 23 2
26 23 17 29 2
33 18 13 16 2
35 20 25 18 3
28 20 16 22 3
25 19 12 23 2
41 24 22 30 4
28 13 17 24 2
25 19 25 21 3
26 16 16 23 3
41 22 24 14 4
28 21 17 25 3
26 16 15 17 2
24 19 16 24 2
32 14 14 23 3
25 19 20 22 4
22 20 15 16 4
29 19 18 22 5
36 23 24 30 4
40 20 18 25 2
27 13 15 21 4
35 17 23 22 4
18 22 21 23 2
36 20 20 24 3
27 19 24 22 3
31 21 23 21 2
16 16 15 26 2
26 24 21 24 2
20 23 21 27 4




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=267901&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=267901&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267901&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=kendall)
anderenpositiefnegatieforganisatiePERFECTIONISM17
anderen10.2220.3090.0450.158
positief0.22210.3410.2010.122
negatief0.3090.34110.1760.303
organisatie0.0450.2010.17610.085
PERFECTIONISM170.1580.1220.3030.0851

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & anderen & positief & negatief & organisatie & PERFECTIONISM17 \tabularnewline
anderen & 1 & 0.222 & 0.309 & 0.045 & 0.158 \tabularnewline
positief & 0.222 & 1 & 0.341 & 0.201 & 0.122 \tabularnewline
negatief & 0.309 & 0.341 & 1 & 0.176 & 0.303 \tabularnewline
organisatie & 0.045 & 0.201 & 0.176 & 1 & 0.085 \tabularnewline
PERFECTIONISM17 & 0.158 & 0.122 & 0.303 & 0.085 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267901&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]anderen[/C][C]positief[/C][C]negatief[/C][C]organisatie[/C][C]PERFECTIONISM17[/C][/ROW]
[ROW][C]anderen[/C][C]1[/C][C]0.222[/C][C]0.309[/C][C]0.045[/C][C]0.158[/C][/ROW]
[ROW][C]positief[/C][C]0.222[/C][C]1[/C][C]0.341[/C][C]0.201[/C][C]0.122[/C][/ROW]
[ROW][C]negatief[/C][C]0.309[/C][C]0.341[/C][C]1[/C][C]0.176[/C][C]0.303[/C][/ROW]
[ROW][C]organisatie[/C][C]0.045[/C][C]0.201[/C][C]0.176[/C][C]1[/C][C]0.085[/C][/ROW]
[ROW][C]PERFECTIONISM17[/C][C]0.158[/C][C]0.122[/C][C]0.303[/C][C]0.085[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267901&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267901&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=kendall)
anderenpositiefnegatieforganisatiePERFECTIONISM17
anderen10.2220.3090.0450.158
positief0.22210.3410.2010.122
negatief0.3090.34110.1760.303
organisatie0.0450.2010.17610.085
PERFECTIONISM170.1580.1220.3030.0851







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
anderen;positief0.36520.30180.2223
p-value(1e-04)(0.0013)(0.0011)
anderen;negatief0.46580.42250.309
p-value(0)(0)(0)
anderen;organisatie0.10660.06640.0454
p-value(0.2656)(0.4889)(0.5072)
anderen;PERFECTIONISM170.21310.1990.1583
p-value(0.0247)(0.0363)(0.0322)
positief;negatief0.50030.45440.3411
p-value(0)(0)(0)
positief;organisatie0.19840.26710.2011
p-value(0.0369)(0.0046)(0.0039)
positief;PERFECTIONISM170.1060.14630.122
p-value(0.2683)(0.1256)(0.1051)
negatief;organisatie0.27820.23830.1756
p-value(0.0031)(0.0118)(0.0111)
negatief;PERFECTIONISM170.38120.38960.3026
p-value(0)(0)(1e-04)
organisatie;PERFECTIONISM170.10660.11620.0853
p-value(0.2654)(0.2248)(0.2615)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
anderen;positief & 0.3652 & 0.3018 & 0.2223 \tabularnewline
p-value & (1e-04) & (0.0013) & (0.0011) \tabularnewline
anderen;negatief & 0.4658 & 0.4225 & 0.309 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
anderen;organisatie & 0.1066 & 0.0664 & 0.0454 \tabularnewline
p-value & (0.2656) & (0.4889) & (0.5072) \tabularnewline
anderen;PERFECTIONISM17 & 0.2131 & 0.199 & 0.1583 \tabularnewline
p-value & (0.0247) & (0.0363) & (0.0322) \tabularnewline
positief;negatief & 0.5003 & 0.4544 & 0.3411 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
positief;organisatie & 0.1984 & 0.2671 & 0.2011 \tabularnewline
p-value & (0.0369) & (0.0046) & (0.0039) \tabularnewline
positief;PERFECTIONISM17 & 0.106 & 0.1463 & 0.122 \tabularnewline
p-value & (0.2683) & (0.1256) & (0.1051) \tabularnewline
negatief;organisatie & 0.2782 & 0.2383 & 0.1756 \tabularnewline
p-value & (0.0031) & (0.0118) & (0.0111) \tabularnewline
negatief;PERFECTIONISM17 & 0.3812 & 0.3896 & 0.3026 \tabularnewline
p-value & (0) & (0) & (1e-04) \tabularnewline
organisatie;PERFECTIONISM17 & 0.1066 & 0.1162 & 0.0853 \tabularnewline
p-value & (0.2654) & (0.2248) & (0.2615) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267901&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]anderen;positief[/C][C]0.3652[/C][C]0.3018[/C][C]0.2223[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](0.0013)[/C][C](0.0011)[/C][/ROW]
[ROW][C]anderen;negatief[/C][C]0.4658[/C][C]0.4225[/C][C]0.309[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]anderen;organisatie[/C][C]0.1066[/C][C]0.0664[/C][C]0.0454[/C][/ROW]
[ROW][C]p-value[/C][C](0.2656)[/C][C](0.4889)[/C][C](0.5072)[/C][/ROW]
[ROW][C]anderen;PERFECTIONISM17[/C][C]0.2131[/C][C]0.199[/C][C]0.1583[/C][/ROW]
[ROW][C]p-value[/C][C](0.0247)[/C][C](0.0363)[/C][C](0.0322)[/C][/ROW]
[ROW][C]positief;negatief[/C][C]0.5003[/C][C]0.4544[/C][C]0.3411[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]positief;organisatie[/C][C]0.1984[/C][C]0.2671[/C][C]0.2011[/C][/ROW]
[ROW][C]p-value[/C][C](0.0369)[/C][C](0.0046)[/C][C](0.0039)[/C][/ROW]
[ROW][C]positief;PERFECTIONISM17[/C][C]0.106[/C][C]0.1463[/C][C]0.122[/C][/ROW]
[ROW][C]p-value[/C][C](0.2683)[/C][C](0.1256)[/C][C](0.1051)[/C][/ROW]
[ROW][C]negatief;organisatie[/C][C]0.2782[/C][C]0.2383[/C][C]0.1756[/C][/ROW]
[ROW][C]p-value[/C][C](0.0031)[/C][C](0.0118)[/C][C](0.0111)[/C][/ROW]
[ROW][C]negatief;PERFECTIONISM17[/C][C]0.3812[/C][C]0.3896[/C][C]0.3026[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](1e-04)[/C][/ROW]
[ROW][C]organisatie;PERFECTIONISM17[/C][C]0.1066[/C][C]0.1162[/C][C]0.0853[/C][/ROW]
[ROW][C]p-value[/C][C](0.2654)[/C][C](0.2248)[/C][C](0.2615)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267901&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267901&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
anderen;positief0.36520.30180.2223
p-value(1e-04)(0.0013)(0.0011)
anderen;negatief0.46580.42250.309
p-value(0)(0)(0)
anderen;organisatie0.10660.06640.0454
p-value(0.2656)(0.4889)(0.5072)
anderen;PERFECTIONISM170.21310.1990.1583
p-value(0.0247)(0.0363)(0.0322)
positief;negatief0.50030.45440.3411
p-value(0)(0)(0)
positief;organisatie0.19840.26710.2011
p-value(0.0369)(0.0046)(0.0039)
positief;PERFECTIONISM170.1060.14630.122
p-value(0.2683)(0.1256)(0.1051)
negatief;organisatie0.27820.23830.1756
p-value(0.0031)(0.0118)(0.0111)
negatief;PERFECTIONISM170.38120.38960.3026
p-value(0)(0)(1e-04)
organisatie;PERFECTIONISM170.10660.11620.0853
p-value(0.2654)(0.2248)(0.2615)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.50.50.5
0.020.50.60.6
0.030.60.60.6
0.040.70.70.7
0.050.70.70.7
0.060.70.70.7
0.070.70.70.7
0.080.70.70.7
0.090.70.70.7
0.10.70.70.7

\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 & 0.5 & 0.5 & 0.5 \tabularnewline
0.02 & 0.5 & 0.6 & 0.6 \tabularnewline
0.03 & 0.6 & 0.6 & 0.6 \tabularnewline
0.04 & 0.7 & 0.7 & 0.7 \tabularnewline
0.05 & 0.7 & 0.7 & 0.7 \tabularnewline
0.06 & 0.7 & 0.7 & 0.7 \tabularnewline
0.07 & 0.7 & 0.7 & 0.7 \tabularnewline
0.08 & 0.7 & 0.7 & 0.7 \tabularnewline
0.09 & 0.7 & 0.7 & 0.7 \tabularnewline
0.1 & 0.7 & 0.7 & 0.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267901&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]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.02[/C][C]0.5[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.03[/C][C]0.6[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.04[/C][C]0.7[/C][C]0.7[/C][C]0.7[/C][/ROW]
[ROW][C]0.05[/C][C]0.7[/C][C]0.7[/C][C]0.7[/C][/ROW]
[ROW][C]0.06[/C][C]0.7[/C][C]0.7[/C][C]0.7[/C][/ROW]
[ROW][C]0.07[/C][C]0.7[/C][C]0.7[/C][C]0.7[/C][/ROW]
[ROW][C]0.08[/C][C]0.7[/C][C]0.7[/C][C]0.7[/C][/ROW]
[ROW][C]0.09[/C][C]0.7[/C][C]0.7[/C][C]0.7[/C][/ROW]
[ROW][C]0.1[/C][C]0.7[/C][C]0.7[/C][C]0.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267901&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267901&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
0.010.50.50.5
0.020.50.60.6
0.030.60.60.6
0.040.70.70.7
0.050.70.70.7
0.060.70.70.7
0.070.70.70.7
0.080.70.70.7
0.090.70.70.7
0.10.70.70.7



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