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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 computationMon, 08 Dec 2014 19:34:18 +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/08/t1418067272od988h2xgqi38hd.htm/, Retrieved Tue, 28 May 2024 01:46:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264165, Retrieved Tue, 28 May 2024 01:46:04 +0000
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Estimated Impact83
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-     [Survey Scores] [Intrinsic Motivat...] [2010-10-12 11:18:40] [b98453cac15ba1066b407e146608df68]
- RMP   [Survey Scores] [] [2014-10-09 22:08:50] [32b17a345b130fdf5cc88718ed94a974]
- RMPD      [Kendall tau Correlation Matrix] [] [2014-12-08 19:34:18] [bfb0b3163eb17a9053d1f02c7e530193] [Current]
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Dataseries X:
5	7	4	5
4	4	4	4
5	4	5	5
4	4	5	5
4	4	4	4
6	6	6	5
5	4	4	4
3	2	2	5
4	6	5	4
4	3	5	4
2	6	5	6
5	5	6	4
3	4	3	3
5	5	5	5
6	7	7	7
4	4	5	4
3	1	2	2
6	6	7	6
7	7	5	7
2	4	3	4
6	5	3	5
4	4	1	6
1	1	2	1
4	4	5	3
3	2	5	4
6	6	7	5
6	6	7	5
3	3	2	1
6	5	4	4
4	5	5	5
7	6	6	6
4	5	5	5
4	4	5	5
3	4	4	4
4	1	3	4
6	5	6	4
3	3	3	3
2	4	5	4
7	7	7	7
7	7	5	6
5	5	5	4
5	5	5	5
6	7	6	5
7	7	5	7
6	7	6	6
3	2	2	5
4	3	2	3
4	2	4	5
4	4	5	4
2	4	3	5
4	4	4	4
3	4	2	2
5	5	5	5
3	4	2	2
5	5	6	6
5	5	5	5
4	5	5	5
5	5	5	2
5	5	5	6
6	5	6	6
4	4	5	5
4	5	5	3
7	7	7	6
6	6	6	7
5	5	4	5
6	5	5	6
6	6	6	6
5	5	5	5
4	5	5	5
2	3	2	4
7	5	5	5
5	5	6	6
5	4	3	4
6	5	5	4
6	6	6	6
4	4	4	4
4	4	4	4
6	6	5	5
6	4	7	7
5	5	2	4
7	6	7	7
3	3	3	2
6	5	6	4
5	5	5	5
6	5	6	3
7	7	7	6
4	6	5	5
2	4	3	3
3	2	2	1
5	6	5	5
5	3	5	5
6	6	6	6
3	3	5	5
3	5	5	5
5	5	5	5
5	5	5	5
3	5	6	5
4	4	4	5
1	4	5	6
7	6	6	7
4	2	5	4
7	7	5	3
4	4	4	5
5	6	6	6
5	6	6	4
6	4	5	4
4	5	3	2
4	4	5	4
4	4	3	1
6	6	6	6
4	4	4	6
3	5	6	6
3	3	5	5
5	5	5	5
5	6	6	5
3	3	4	2
4	5	3	4
5	4	4	4
5	6	5	6
3	3	4	2
3	4	2	5
5	6	6	6
3	4	3	5
4	5	4	4
7	7	7	7
6	5	6	3
5	6	6	6
2	2	7	2
4	5	5	4
6	6	5	6
6	3	5	5
5	6	6	6
4	2	2	4
4	4	4	4
5	5	7	6
3	3	4	3
5	5	7	5
5	5	4	4
5	6	7	5
6	5	5	4
4	2	2	2
3	5	5	4
3	5	3	7
4	4	3	4
5	6	6	6
5	5	3	4
3	4	4	6
6	4	6	6
5	5	5	5
4	5	6	5
5	4	5	5
4	6	2	6
7	6	5	4
5	7	6	2
3	7	7	5
5	5	4	4
2	4	4	6
4	4	4	4
3	3	5	5
4	4	4	4
5	4	4	4
4	4	5	5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264165&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]2 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=264165&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264165&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 time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Correlations for all pairs of data series (method=kendall)
Q6Q13Q20Q27
Q610.5720.480.351
Q130.57210.5320.445
Q200.480.53210.44
Q270.3510.4450.441

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Q6 & Q13 & Q20 & Q27 \tabularnewline
Q6 & 1 & 0.572 & 0.48 & 0.351 \tabularnewline
Q13 & 0.572 & 1 & 0.532 & 0.445 \tabularnewline
Q20 & 0.48 & 0.532 & 1 & 0.44 \tabularnewline
Q27 & 0.351 & 0.445 & 0.44 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264165&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Q6[/C][C]Q13[/C][C]Q20[/C][C]Q27[/C][/ROW]
[ROW][C]Q6[/C][C]1[/C][C]0.572[/C][C]0.48[/C][C]0.351[/C][/ROW]
[ROW][C]Q13[/C][C]0.572[/C][C]1[/C][C]0.532[/C][C]0.445[/C][/ROW]
[ROW][C]Q20[/C][C]0.48[/C][C]0.532[/C][C]1[/C][C]0.44[/C][/ROW]
[ROW][C]Q27[/C][C]0.351[/C][C]0.445[/C][C]0.44[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264165&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264165&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)
Q6Q13Q20Q27
Q610.5720.480.351
Q130.57210.5320.445
Q200.480.53210.44
Q270.3510.4450.441







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Q6;Q130.64190.66560.5718
p-value(0)(0)(0)
Q6;Q200.54090.57130.4805
p-value(0)(0)(0)
Q6;Q270.43320.41220.3511
p-value(0)(0)(0)
Q13;Q200.59670.62210.5317
p-value(0)(0)(0)
Q13;Q270.52930.52260.4447
p-value(0)(0)(0)
Q20;Q270.50190.50750.4396
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
Q6;Q13 & 0.6419 & 0.6656 & 0.5718 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Q6;Q20 & 0.5409 & 0.5713 & 0.4805 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Q6;Q27 & 0.4332 & 0.4122 & 0.3511 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Q13;Q20 & 0.5967 & 0.6221 & 0.5317 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Q13;Q27 & 0.5293 & 0.5226 & 0.4447 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Q20;Q27 & 0.5019 & 0.5075 & 0.4396 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264165&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]Q6;Q13[/C][C]0.6419[/C][C]0.6656[/C][C]0.5718[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Q6;Q20[/C][C]0.5409[/C][C]0.5713[/C][C]0.4805[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Q6;Q27[/C][C]0.4332[/C][C]0.4122[/C][C]0.3511[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Q13;Q20[/C][C]0.5967[/C][C]0.6221[/C][C]0.5317[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Q13;Q27[/C][C]0.5293[/C][C]0.5226[/C][C]0.4447[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Q20;Q27[/C][C]0.5019[/C][C]0.5075[/C][C]0.4396[/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=264165&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264165&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
Q6;Q130.64190.66560.5718
p-value(0)(0)(0)
Q6;Q200.54090.57130.4805
p-value(0)(0)(0)
Q6;Q270.43320.41220.3511
p-value(0)(0)(0)
Q13;Q200.59670.62210.5317
p-value(0)(0)(0)
Q13;Q270.52930.52260.4447
p-value(0)(0)(0)
Q20;Q270.50190.50750.4396
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=264165&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=264165&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264165&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 = kendall ;
Parameters (R input):
par1 = kendall ;
R code (references can be found in the software module):
par1 <- 'pearson'
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')