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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, 14 Nov 2018 22:41:44 +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/2018/Nov/14/t15422317101hmfh2zzsz468v9.htm/, Retrieved Mon, 06 May 2024 11:33:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315653, Retrieved Mon, 06 May 2024 11:33:40 +0000
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-       [Kendall tau Correlation Matrix] [] [2018-11-14 21:41:44] [faeb7b06c531293c72cd094586d8c91e] [Current]
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Dataseries X:
10 10 10
9 8 8
12 6 8
14 10 9
6 8 5
13 10 10
12 7 8
13 10 9
6 6 8
12 7 7
10 9 10
9 6 10
12 7 9
7 6 4
10 4 4
11 6 8
15 8 9
10 9 10
12 8 8
10 6 5
12 6 10
11 10 8
11 8 7
12 8 8
15 7 8
12 4 9
11 9 8
9 8 6
11 10 8
11 8 8
9 6 5
15 7 9
12 8 8
9 5 8
12 10 8
12 2 6
9 6 6
9 7 9
11 5 8
12 8 9
12 7 10
12 7 8
12 10 8
6 7 7
11 6 7
12 10 10
9 6 8
11 5 7
9 8 10
10 8 7
10 5 7
9 8 9
12 10 9
11 7 8
9 7 6
9 7 8
12 7 9
6 2 2
10 4 6
12 6 8
11 7 8
14 9 7
8 9 8
9 4 6
10 9 10
10 9 10
10 8 10
11 7 8
10 9 8
12 7 7
14 6 10
10 7 5
8 2 3
8 3 2
7 4 3
11 5 4
6 2 2
9 6 6
12 8 8
12 5 8
12 4 5
9 10 10
15 10 9
15 10 8
13 9 9
9 5 8
12 5 5
9 7 7
15 10 9
11 9 8
11 8 4
6 8 7
14 8 8
11 8 7
8 8 7
10 7 9
10 6 6
9 8 7
8 2 4
9 5 6
10 4 10
11 9 9
14 10 10
12 6 8
9 4 4
13 10 8
8 6 5
12 7 8
14 7 9
9 8 8
10 6 4
12 5 8
12 6 10
9 7 6
9 6 7
12 9 10
15 9 9
12 7 8
11 6 3
8 7 8
11 7 7
11 8 7
10 7 8
12 8 8
9 7 7
11 4 7
15 10 9
14 8 9
6 8 9
9 2 4
9 6 6
8 4 6
7 4 6
10 9 8
6 2 3
9 6 8
9 7 8
7 4 6
11 10 10
9 3 2
12 7 9
9 4 6
10 8 6
11 4 5
7 5 4
12 6 7
8 5 5
13 9 8
11 6 6
11 8 9
12 4 6
11 4 4
12 8 7
3 4 2
10 10 8
13 8 9
10 5 6
6 3 5
11 7 7
12 6 8
9 5 4
10 5 9
15 9 9
9 2 9
6 7 7
9 7 5
15 5 7
15 9 9
9 4 8
11 5 6
9 9 9
11 7 8
10 6 7
9 8 7
6 7 7
12 6 8
13 8 10
12 6 6
12 7 6




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=315653&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=315653&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315653&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)
Perceived_UsefulnessRelative_AdvantageIntention_to_Use
Perceived_Usefulness10.4270.495
Relative_Advantage0.42710.64
Intention_to_Use0.4950.641

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Perceived_Usefulness & Relative_Advantage & Intention_to_Use \tabularnewline
Perceived_Usefulness & 1 & 0.427 & 0.495 \tabularnewline
Relative_Advantage & 0.427 & 1 & 0.64 \tabularnewline
Intention_to_Use & 0.495 & 0.64 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315653&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Perceived_Usefulness[/C][C]Relative_Advantage[/C][C]Intention_to_Use[/C][/ROW]
[ROW][C]Perceived_Usefulness[/C][C]1[/C][C]0.427[/C][C]0.495[/C][/ROW]
[ROW][C]Relative_Advantage[/C][C]0.427[/C][C]1[/C][C]0.64[/C][/ROW]
[ROW][C]Intention_to_Use[/C][C]0.495[/C][C]0.64[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315653&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315653&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)
Perceived_UsefulnessRelative_AdvantageIntention_to_Use
Perceived_Usefulness10.4270.495
Relative_Advantage0.42710.64
Intention_to_Use0.4950.641







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Perceived_Usefulness;Relative_Advantage0.42650.39030.3042
p-value(0)(0)(0)
Perceived_Usefulness;Intention_to_Use0.49510.46940.3725
p-value(0)(0)(0)
Relative_Advantage;Intention_to_Use0.63970.59770.4895
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
Perceived_Usefulness;Relative_Advantage & 0.4265 & 0.3903 & 0.3042 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Perceived_Usefulness;Intention_to_Use & 0.4951 & 0.4694 & 0.3725 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Relative_Advantage;Intention_to_Use & 0.6397 & 0.5977 & 0.4895 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315653&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]Perceived_Usefulness;Relative_Advantage[/C][C]0.4265[/C][C]0.3903[/C][C]0.3042[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Perceived_Usefulness;Intention_to_Use[/C][C]0.4951[/C][C]0.4694[/C][C]0.3725[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Relative_Advantage;Intention_to_Use[/C][C]0.6397[/C][C]0.5977[/C][C]0.4895[/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=315653&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315653&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
Perceived_Usefulness;Relative_Advantage0.42650.39030.3042
p-value(0)(0)(0)
Perceived_Usefulness;Intention_to_Use0.49510.46940.3725
p-value(0)(0)(0)
Relative_Advantage;Intention_to_Use0.63970.59770.4895
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=315653&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=315653&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315653&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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
x <- na.omit(x)
y <- t(na.omit(t(y)))
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
print(n)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$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')