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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 computationFri, 04 Dec 2015 11:04:03 +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/04/t1449227167ieo03366y6xhpwf.htm/, Retrieved Thu, 16 May 2024 13:13:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285066, Retrieved Thu, 16 May 2024 13:13:59 +0000
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User-defined keywords
Estimated Impact91
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [corr matrix sterf...] [2015-12-04 11:04:03] [dde0885d390165e184eb3f8febefa56e] [Current]
- RMPD    [Kendall tau Rank Correlation] [kendall rank sterfte] [2015-12-04 11:11:57] [170d69a18d8bca4f88fd44767421f945]
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Dataseries X:
8 78 9.100000381
9.300000191 68 8.699999809
7.5 70 7.199999809
8.899999619 96 8.899999619
10.19999981 74 8.300000191
8.300000191 111 10.89999962
8.800000191 77 10
8.800000191 168 9.100000381
10.69999981 82 8.699999809
11.69999981 89 7.599999905
8.5 149 10.80000019
8.300000191 60 9.5
8.199999809 96 8.800000191
7.900000095 83 9.5
10.30000019 130 8.699999809
7.400000095 145 11.19999981
9.600000381 112 9.699999809
9.300000191 131 9.600000381
10.60000038 80 9.100000381
9.699999809 130 9.199999809
11.60000038 140 8.300000191
8.100000381 154 8.399999619
9.800000191 118 9.399999619
7.400000095 94 9.800000191
9.399999619 119 10.39999962
11.19999981 153 9.899999619
9.100000381 116 9.199999809
10.5 97 10.30000019
11.89999962 176 8.899999619
8.399999619 75 9.600000381
5 134 10.30000019
9.800000191 161 10.39999962
9.800000191 111 9.699999809
10.80000019 114 9.600000381
10.10000038 142 10.69999981
10.89999962 238 10.30000019
9.199999809 78 10.69999981
8.300000191 196 9.600000381
7.300000191 125 10.5
9.399999619 82 7.699999809
9.399999619 125 10.19999981
9.800000191 129 9.899999619
3.599999905 84 8.399999619
8.399999619 183 10.39999962
10.80000019 119 9.199999809
10.10000038 180 13
9 82 8.800000191
10 71 9.199999809
11.30000019 118 7.800000191
11.30000019 121 8.199999809
12.80000019 68 7.400000095
10 112 10.39999962
6.699999809 109 8.899999619




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=285066&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=285066&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285066&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=pearson)
X1X2X4
X110.116-0.172
X20.11610.433
X4-0.1720.4331

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & X1 & X2 & X4 \tabularnewline
X1 & 1 & 0.116 & -0.172 \tabularnewline
X2 & 0.116 & 1 & 0.433 \tabularnewline
X4 & -0.172 & 0.433 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285066&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]X1[/C][C]X2[/C][C]X4[/C][/ROW]
[ROW][C]X1[/C][C]1[/C][C]0.116[/C][C]-0.172[/C][/ROW]
[ROW][C]X2[/C][C]0.116[/C][C]1[/C][C]0.433[/C][/ROW]
[ROW][C]X4[/C][C]-0.172[/C][C]0.433[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285066&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285066&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)
X1X2X4
X110.116-0.172
X20.11610.433
X4-0.1720.4331







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
X1;X20.11580.1170.0866
p-value(0.4091)(0.4042)(0.3649)
X1;X4-0.172-0.2144-0.1489
p-value(0.2181)(0.1232)(0.1223)
X2;X40.43330.40750.2859
p-value(0.0012)(0.0025)(0.0029)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
X1;X2 & 0.1158 & 0.117 & 0.0866 \tabularnewline
p-value & (0.4091) & (0.4042) & (0.3649) \tabularnewline
X1;X4 & -0.172 & -0.2144 & -0.1489 \tabularnewline
p-value & (0.2181) & (0.1232) & (0.1223) \tabularnewline
X2;X4 & 0.4333 & 0.4075 & 0.2859 \tabularnewline
p-value & (0.0012) & (0.0025) & (0.0029) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285066&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]X1;X2[/C][C]0.1158[/C][C]0.117[/C][C]0.0866[/C][/ROW]
[ROW][C]p-value[/C][C](0.4091)[/C][C](0.4042)[/C][C](0.3649)[/C][/ROW]
[ROW][C]X1;X4[/C][C]-0.172[/C][C]-0.2144[/C][C]-0.1489[/C][/ROW]
[ROW][C]p-value[/C][C](0.2181)[/C][C](0.1232)[/C][C](0.1223)[/C][/ROW]
[ROW][C]X2;X4[/C][C]0.4333[/C][C]0.4075[/C][C]0.2859[/C][/ROW]
[ROW][C]p-value[/C][C](0.0012)[/C][C](0.0025)[/C][C](0.0029)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285066&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285066&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
X1;X20.11580.1170.0866
p-value(0.4091)(0.4042)(0.3649)
X1;X4-0.172-0.2144-0.1489
p-value(0.2181)(0.1232)(0.1223)
X2;X40.43330.40750.2859
p-value(0.0012)(0.0025)(0.0029)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.330.330.33
0.020.330.330.33
0.030.330.330.33
0.040.330.330.33
0.050.330.330.33
0.060.330.330.33
0.070.330.330.33
0.080.330.330.33
0.090.330.330.33
0.10.330.330.33

\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 & 0.33 & 0.33 & 0.33 \tabularnewline
0.03 & 0.33 & 0.33 & 0.33 \tabularnewline
0.04 & 0.33 & 0.33 & 0.33 \tabularnewline
0.05 & 0.33 & 0.33 & 0.33 \tabularnewline
0.06 & 0.33 & 0.33 & 0.33 \tabularnewline
0.07 & 0.33 & 0.33 & 0.33 \tabularnewline
0.08 & 0.33 & 0.33 & 0.33 \tabularnewline
0.09 & 0.33 & 0.33 & 0.33 \tabularnewline
0.1 & 0.33 & 0.33 & 0.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285066&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]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.03[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.04[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.05[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.06[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.07[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.08[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.09[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.1[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285066&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285066&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
0.020.330.330.33
0.030.330.330.33
0.040.330.330.33
0.050.330.330.33
0.060.330.330.33
0.070.330.330.33
0.080.330.330.33
0.090.330.330.33
0.10.330.330.33



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