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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 computationTue, 21 Jan 2020 14:33:38 +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/2020/Jan/21/t1579614286qj27fr6uzlb9kv9.htm/, Retrieved Fri, 19 Apr 2024 23:47:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=318999, Retrieved Fri, 19 Apr 2024 23:47:09 +0000
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Estimated Impact132
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [] [2020-01-21 13:33:38] [b7c0d90124631011a75a1f624252dff8] [Current]
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Dataseries X:
10 10 10 10
8 8 9 15
8 6 12 14
9 10 14 14
5 8 6 8
10 10 13 19
8 7 12 17
9 10 13 18
8 6 6 10
7 7 12 15
10 9 10 16
10 6 9 12
9 7 12 13
4 6 7 10
4 4 10 14
8 6 11 15
9 8 15 20
10 9 10 9
8 8 12 12
5 6 10 13
10 6 12 16
8 10 11 12
7 8 11 14
8 8 12 15
8 7 15 19
9 4 12 16
8 9 11 16
6 8 9 14
8 10 11 14
8 8 11 14
5 6 9 13
9 7 15 18
8 8 12 15
8 5 9 15
8 10 12 15
6 2 12 13
6 6 9 14
9 7 9 15
8 5 11 14
9 8 12 19
10 7 12 16
8 7 12 16
8 10 12 12
7 7 6 10
7 6 11 11
10 10 12 13
8 6 9 14
7 5 11 11
10 8 9 11
7 8 10 16
7 5 10 9
9 8 9 16
9 10 12 19
8 7 11 13
6 7 9 15
8 7 9 14
9 7 12 15
2 2 6 11
6 4 10 14
8 6 12 15
8 7 11 17
7 9 14 16
8 9 8 13
6 4 9 15
10 9 10 14
10 9 10 15
10 8 10 14
8 7 11 12
8 9 10 12
7 7 12 15
10 6 14 17
5 7 10 13
3 2 8 5
2 3 8 7
3 4 7 10
4 5 11 15
2 2 6 9
6 6 9 9
8 8 12 15
8 5 12 14
5 4 12 11
10 10 9 18
9 10 15 20
8 10 15 20
9 9 13 16
8 5 9 15
5 5 12 14
7 7 9 13
9 10 15 18
8 9 11 14
4 8 11 12
7 8 6 9
8 8 14 19
7 8 11 13
7 8 8 12
9 7 10 14
6 6 10 6
7 8 9 14
4 2 8 11
6 5 9 11
10 4 10 14
9 9 11 12
10 10 14 19
8 6 12 13
4 4 9 14
8 10 13 17
5 6 8 12
8 7 12 16
9 7 14 15
8 8 9 15
4 6 10 15
8 5 12 16
10 6 12 15
6 7 9 12
7 6 9 13
10 9 12 14
9 9 15 17
8 7 12 14
3 6 11 14
8 7 8 14
7 7 11 15
7 8 11 11
8 7 10 11
8 8 12 16
7 7 9 12
7 4 11 12
9 10 15 19
9 8 14 18
9 8 6 16
4 2 9 16
6 6 9 13
6 4 8 11
6 4 7 10
8 9 10 14
3 2 6 14
8 6 9 14
8 7 9 16
6 4 7 10
10 10 11 16
2 3 9 7
9 7 12 16
6 4 9 15
6 8 10 17
5 4 11 11
4 5 7 11
7 6 12 10
5 5 8 13
8 9 13 14
6 6 11 13
9 8 11 13
6 4 12 12
4 4 11 10
7 8 12 15
2 4 3 6
8 10 10 15
9 8 13 15
6 5 10 11
5 3 6 14
7 7 11 14
8 6 12 16
4 5 9 12
9 5 10 15
9 9 15 20
9 2 9 12
7 7 6 9
5 7 9 13
7 5 15 15
9 9 15 19
8 4 9 11
6 5 11 11
9 9 9 17
8 7 11 15
7 6 10 14
7 8 9 15
7 7 6 11
8 6 12 12
10 8 13 15
6 6 12 16
6 7 12 16




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=318999&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=318999&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318999&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)
Intention_to_UseRelative_AdvantagePerceived_UsefulnessPerceived_Ease_of_Use
Intention_to_Use10.640.4950.523
Relative_Advantage0.6410.4270.464
Perceived_Usefulness0.4950.42710.638
Perceived_Ease_of_Use0.5230.4640.6381

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Intention_to_Use & Relative_Advantage & Perceived_Usefulness & Perceived_Ease_of_Use \tabularnewline
Intention_to_Use & 1 & 0.64 & 0.495 & 0.523 \tabularnewline
Relative_Advantage & 0.64 & 1 & 0.427 & 0.464 \tabularnewline
Perceived_Usefulness & 0.495 & 0.427 & 1 & 0.638 \tabularnewline
Perceived_Ease_of_Use & 0.523 & 0.464 & 0.638 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318999&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Intention_to_Use[/C][C]Relative_Advantage[/C][C]Perceived_Usefulness[/C][C]Perceived_Ease_of_Use[/C][/ROW]
[ROW][C]Intention_to_Use[/C][C]1[/C][C]0.64[/C][C]0.495[/C][C]0.523[/C][/ROW]
[ROW][C]Relative_Advantage[/C][C]0.64[/C][C]1[/C][C]0.427[/C][C]0.464[/C][/ROW]
[ROW][C]Perceived_Usefulness[/C][C]0.495[/C][C]0.427[/C][C]1[/C][C]0.638[/C][/ROW]
[ROW][C]Perceived_Ease_of_Use[/C][C]0.523[/C][C]0.464[/C][C]0.638[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318999&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318999&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)
Intention_to_UseRelative_AdvantagePerceived_UsefulnessPerceived_Ease_of_Use
Intention_to_Use10.640.4950.523
Relative_Advantage0.6410.4270.464
Perceived_Usefulness0.4950.42710.638
Perceived_Ease_of_Use0.5230.4640.6381







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Intention_to_Use;Relative_Advantage0.63970.59770.4895
p-value(0)(0)(0)
Intention_to_Use;Perceived_Usefulness0.49510.46940.3725
p-value(0)(0)(0)
Intention_to_Use;Perceived_Ease_of_Use0.52310.5010.3939
p-value(0)(0)(0)
Relative_Advantage;Perceived_Usefulness0.42650.39030.3042
p-value(0)(0)(0)
Relative_Advantage;Perceived_Ease_of_Use0.46440.42980.3347
p-value(0)(0)(0)
Perceived_Usefulness;Perceived_Ease_of_Use0.6380.57580.4631
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
Intention_to_Use;Relative_Advantage & 0.6397 & 0.5977 & 0.4895 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Intention_to_Use;Perceived_Usefulness & 0.4951 & 0.4694 & 0.3725 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Intention_to_Use;Perceived_Ease_of_Use & 0.5231 & 0.501 & 0.3939 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Relative_Advantage;Perceived_Usefulness & 0.4265 & 0.3903 & 0.3042 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Relative_Advantage;Perceived_Ease_of_Use & 0.4644 & 0.4298 & 0.3347 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Perceived_Usefulness;Perceived_Ease_of_Use & 0.638 & 0.5758 & 0.4631 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318999&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]Intention_to_Use;Relative_Advantage[/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]
[ROW][C]Intention_to_Use;Perceived_Usefulness[/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]Intention_to_Use;Perceived_Ease_of_Use[/C][C]0.5231[/C][C]0.501[/C][C]0.3939[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Relative_Advantage;Perceived_Usefulness[/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]Relative_Advantage;Perceived_Ease_of_Use[/C][C]0.4644[/C][C]0.4298[/C][C]0.3347[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Perceived_Usefulness;Perceived_Ease_of_Use[/C][C]0.638[/C][C]0.5758[/C][C]0.4631[/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=318999&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318999&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
Intention_to_Use;Relative_Advantage0.63970.59770.4895
p-value(0)(0)(0)
Intention_to_Use;Perceived_Usefulness0.49510.46940.3725
p-value(0)(0)(0)
Intention_to_Use;Perceived_Ease_of_Use0.52310.5010.3939
p-value(0)(0)(0)
Relative_Advantage;Perceived_Usefulness0.42650.39030.3042
p-value(0)(0)(0)
Relative_Advantage;Perceived_Ease_of_Use0.46440.42980.3347
p-value(0)(0)(0)
Perceived_Usefulness;Perceived_Ease_of_Use0.6380.57580.4631
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=318999&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=318999&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318999&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):
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')