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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 computationThu, 11 Dec 2014 22:35:31 +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/11/t1418337350l5gbp6ren7hpirg.htm/, Retrieved Thu, 16 May 2024 06:56:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266401, Retrieved Thu, 16 May 2024 06:56:22 +0000
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Original text written by user:
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Estimated Impact53
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [] [2014-12-11 22:35:31] [8145b3fe416df466b077d26de89041cd] [Current]
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Dataseries X:
11 8 7 0
16 12 9 0
24 24 19 1
15 16 12 1
17 19 16 1
19 16 17 0
19 15 9 1
28 28 28 1
26 21 20 1
15 18 16 1
26 22 22 1
24 22 12 0
25 25 18 0
22 20 20 0
15 16 12 1
21 19 16 0
27 26 21 0
26 20 17 1
22 19 17 0
22 23 18 1
20 18 15 1
21 16 20 1
22 21 21 1
21 20 12 0
8 15 6 0
22 19 13 0
20 19 19 1
17 20 14 1
23 19 12 0
20 19 17 1
19 18 10 0
22 17 11 1
17 8 10 1
14 9 7 1
24 22 22 0
18 22 16 1
18 14 11 1
23 24 20 1
24 21 17 1
23 20 14 1
20 18 16 1
22 24 15 1
22 19 15 0
15 16 10 0
19 16 18 0
21 15 10 1
20 15 16 0
18 14 5 0
16 16 10 0
17 13 8 1
24 26 16 0
19 18 16 1
20 15 14 0
19 21 9 0
21 17 21 1
15 18 7 0
22 25 16 0
14 12 8 1
11 16 5 0
22 23 22 0
25 19 17 1
22 18 20 0




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266401&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266401&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'Gertrude Mary Cox' @ cox.wessa.net







Correlations for all pairs of data series (method=pearson)
AMS.I1AMS.I2AMS.I3gender
AMS.I110.7210.7390.088
AMS.I20.72110.676-0.022
AMS.I30.7390.67610.191
gender0.088-0.0220.1911

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & AMS.I1 & AMS.I2 & AMS.I3 & gender \tabularnewline
AMS.I1 & 1 & 0.721 & 0.739 & 0.088 \tabularnewline
AMS.I2 & 0.721 & 1 & 0.676 & -0.022 \tabularnewline
AMS.I3 & 0.739 & 0.676 & 1 & 0.191 \tabularnewline
gender & 0.088 & -0.022 & 0.191 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266401&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]AMS.I1[/C][C]AMS.I2[/C][C]AMS.I3[/C][C]gender[/C][/ROW]
[ROW][C]AMS.I1[/C][C]1[/C][C]0.721[/C][C]0.739[/C][C]0.088[/C][/ROW]
[ROW][C]AMS.I2[/C][C]0.721[/C][C]1[/C][C]0.676[/C][C]-0.022[/C][/ROW]
[ROW][C]AMS.I3[/C][C]0.739[/C][C]0.676[/C][C]1[/C][C]0.191[/C][/ROW]
[ROW][C]gender[/C][C]0.088[/C][C]-0.022[/C][C]0.191[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266401&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)
AMS.I1AMS.I2AMS.I3gender
AMS.I110.7210.7390.088
AMS.I20.72110.676-0.022
AMS.I30.7390.67610.191
gender0.088-0.0220.1911







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
AMS.I1;AMS.I20.72050.75860.5993
p-value(0)(0)(0)
AMS.I1;AMS.I30.73940.7050.5466
p-value(0)(0)(0)
AMS.I1;gender0.08780.0290.0247
p-value(0.4972)(0.8227)(0.8206)
AMS.I2;AMS.I30.67550.6490.4942
p-value(0)(0)(0)
AMS.I2;gender-0.02249e-048e-04
p-value(0.8629)(0.9944)(0.9943)
AMS.I3;gender0.19090.16580.14
p-value(0.1373)(0.1978)(0.1954)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
AMS.I1;AMS.I2 & 0.7205 & 0.7586 & 0.5993 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS.I1;AMS.I3 & 0.7394 & 0.705 & 0.5466 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS.I1;gender & 0.0878 & 0.029 & 0.0247 \tabularnewline
p-value & (0.4972) & (0.8227) & (0.8206) \tabularnewline
AMS.I2;AMS.I3 & 0.6755 & 0.649 & 0.4942 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
AMS.I2;gender & -0.0224 & 9e-04 & 8e-04 \tabularnewline
p-value & (0.8629) & (0.9944) & (0.9943) \tabularnewline
AMS.I3;gender & 0.1909 & 0.1658 & 0.14 \tabularnewline
p-value & (0.1373) & (0.1978) & (0.1954) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266401&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]AMS.I1;AMS.I2[/C][C]0.7205[/C][C]0.7586[/C][C]0.5993[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS.I1;AMS.I3[/C][C]0.7394[/C][C]0.705[/C][C]0.5466[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS.I1;gender[/C][C]0.0878[/C][C]0.029[/C][C]0.0247[/C][/ROW]
[ROW][C]p-value[/C][C](0.4972)[/C][C](0.8227)[/C][C](0.8206)[/C][/ROW]
[ROW][C]AMS.I2;AMS.I3[/C][C]0.6755[/C][C]0.649[/C][C]0.4942[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]AMS.I2;gender[/C][C]-0.0224[/C][C]9e-04[/C][C]8e-04[/C][/ROW]
[ROW][C]p-value[/C][C](0.8629)[/C][C](0.9944)[/C][C](0.9943)[/C][/ROW]
[ROW][C]AMS.I3;gender[/C][C]0.1909[/C][C]0.1658[/C][C]0.14[/C][/ROW]
[ROW][C]p-value[/C][C](0.1373)[/C][C](0.1978)[/C][C](0.1954)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266401&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266401&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
AMS.I1;AMS.I20.72050.75860.5993
p-value(0)(0)(0)
AMS.I1;AMS.I30.73940.7050.5466
p-value(0)(0)(0)
AMS.I1;gender0.08780.0290.0247
p-value(0.4972)(0.8227)(0.8206)
AMS.I2;AMS.I30.67550.6490.4942
p-value(0)(0)(0)
AMS.I2;gender-0.02249e-048e-04
p-value(0.8629)(0.9944)(0.9943)
AMS.I3;gender0.19090.16580.14
p-value(0.1373)(0.1978)(0.1954)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.50.50.5
0.020.50.50.5
0.030.50.50.5
0.040.50.50.5
0.050.50.50.5
0.060.50.50.5
0.070.50.50.5
0.080.50.50.5
0.090.50.50.5
0.10.50.50.5

\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 & 0.5 & 0.5 \tabularnewline
0.03 & 0.5 & 0.5 & 0.5 \tabularnewline
0.04 & 0.5 & 0.5 & 0.5 \tabularnewline
0.05 & 0.5 & 0.5 & 0.5 \tabularnewline
0.06 & 0.5 & 0.5 & 0.5 \tabularnewline
0.07 & 0.5 & 0.5 & 0.5 \tabularnewline
0.08 & 0.5 & 0.5 & 0.5 \tabularnewline
0.09 & 0.5 & 0.5 & 0.5 \tabularnewline
0.1 & 0.5 & 0.5 & 0.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266401&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]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.03[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.04[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.05[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.06[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.07[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.08[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.09[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.1[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266401&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266401&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
0.020.50.50.5
0.030.50.50.5
0.040.50.50.5
0.050.50.50.5
0.060.50.50.5
0.070.50.50.5
0.080.50.50.5
0.090.50.50.5
0.10.50.50.5



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