Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_pairs.wasp
Title produced by softwareKendall tau Correlation Matrix
Date of computationFri, 11 Dec 2015 12:44:54 +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/11/t1449837993kj8tns3s2lu6efl.htm/, Retrieved Thu, 16 May 2024 14:40:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285921, Retrieved Thu, 16 May 2024 14:40:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [Scatterplot schol...] [2015-12-11 12:44:54] [53e3a4862cc086c76cbd8c4287fcb14b] [Current]
Feedback Forum

Post a new message
Dataseries X:
20 31 11 74 478
18 43 11 72 494
16 16 18 70 643
19 25 11 71 341
24 29 9 72 773
15 32 8 68 603
14 24 12 68 484
11 28 13 62 546
12 25 7 69 424
15 58 9 66 548
9 21 13 60 506
36 77 4 81 819
12 37 9 66 541
16 37 11 67 491
11 35 12 65 514
14 42 10 64 371
10 21 12 64 457
27 81 7 62 437
16 31 15 59 570
15 50 15 56 432
8 24 22 46 619
13 27 14 54 357
11 22 20 54 623
8 18 26 45 547
11 23 12 57 792
18 60 9 57 799
12 14 19 61 439
10 31 17 52 867
9 24 21 44 912
8 23 18 43 462
10 22 19 48 859
12 25 14 57 805
9 25 19 47 652
9 21 19 50 776
11 32 16 48 919
14 31 13 49 732
22 13 13 72 657
13 21 14 59 1419
13 46 9 49 989
12 27 13 54 821
15 18 22 62 1740
11 39 17 47 815
10 15 34 45 760
12 23 26 48 936
12 7 23 69 863
11 23 23 42 783
12 30 18 49 715
13 35 15 57 1504
16 15 22 72 1324
16 18 26 67 940




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285921&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285921&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285921&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'Gwilym Jenkins' @ jenkins.wessa.net







Correlations for all pairs of data series (method=pearson)
X7X6X5X4X1
X710.592-0.5140.681-0.026
X60.5921-0.6270.182-0.175
X5-0.514-0.6271-0.5370.323
X40.6810.182-0.5371-0.135
X1-0.026-0.1750.323-0.1351

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & X7 & X6 & X5 & X4 & X1 \tabularnewline
X7 & 1 & 0.592 & -0.514 & 0.681 & -0.026 \tabularnewline
X6 & 0.592 & 1 & -0.627 & 0.182 & -0.175 \tabularnewline
X5 & -0.514 & -0.627 & 1 & -0.537 & 0.323 \tabularnewline
X4 & 0.681 & 0.182 & -0.537 & 1 & -0.135 \tabularnewline
X1 & -0.026 & -0.175 & 0.323 & -0.135 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285921&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]X7[/C][C]X6[/C][C]X5[/C][C]X4[/C][C]X1[/C][/ROW]
[ROW][C]X7[/C][C]1[/C][C]0.592[/C][C]-0.514[/C][C]0.681[/C][C]-0.026[/C][/ROW]
[ROW][C]X6[/C][C]0.592[/C][C]1[/C][C]-0.627[/C][C]0.182[/C][C]-0.175[/C][/ROW]
[ROW][C]X5[/C][C]-0.514[/C][C]-0.627[/C][C]1[/C][C]-0.537[/C][C]0.323[/C][/ROW]
[ROW][C]X4[/C][C]0.681[/C][C]0.182[/C][C]-0.537[/C][C]1[/C][C]-0.135[/C][/ROW]
[ROW][C]X1[/C][C]-0.026[/C][C]-0.175[/C][C]0.323[/C][C]-0.135[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285921&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285921&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)
X7X6X5X4X1
X710.592-0.5140.681-0.026
X60.5921-0.6270.182-0.175
X5-0.514-0.6271-0.5370.323
X40.6810.182-0.5371-0.135
X1-0.026-0.1750.323-0.1351







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
X7;X60.59170.34630.2669
p-value(0)(0.0137)(0.009)
X7;X5-0.514-0.5118-0.3837
p-value(1e-04)(1e-04)(2e-04)
X7;X40.68110.73450.5835
p-value(0)(0)(0)
X7;X1-0.0263-0.0801-0.0348
p-value(0.8562)(0.5802)(0.7301)
X6;X5-0.627-0.6778-0.5123
p-value(0)(0)(0)
X6;X40.18240.0790.0521
p-value(0.205)(0.5855)(0.6029)
X6;X1-0.1752-0.1909-0.1317
p-value(0.2236)(0.1842)(0.1828)
X5;X4-0.5372-0.5485-0.4386
p-value(1e-04)(0)(0)
X5;X10.32250.40580.2799
p-value(0.0224)(0.0035)(0.005)
X4;X1-0.1355-0.2466-0.153
p-value(0.3483)(0.0843)(0.1212)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
X7;X6 & 0.5917 & 0.3463 & 0.2669 \tabularnewline
p-value & (0) & (0.0137) & (0.009) \tabularnewline
X7;X5 & -0.514 & -0.5118 & -0.3837 \tabularnewline
p-value & (1e-04) & (1e-04) & (2e-04) \tabularnewline
X7;X4 & 0.6811 & 0.7345 & 0.5835 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X7;X1 & -0.0263 & -0.0801 & -0.0348 \tabularnewline
p-value & (0.8562) & (0.5802) & (0.7301) \tabularnewline
X6;X5 & -0.627 & -0.6778 & -0.5123 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X6;X4 & 0.1824 & 0.079 & 0.0521 \tabularnewline
p-value & (0.205) & (0.5855) & (0.6029) \tabularnewline
X6;X1 & -0.1752 & -0.1909 & -0.1317 \tabularnewline
p-value & (0.2236) & (0.1842) & (0.1828) \tabularnewline
X5;X4 & -0.5372 & -0.5485 & -0.4386 \tabularnewline
p-value & (1e-04) & (0) & (0) \tabularnewline
X5;X1 & 0.3225 & 0.4058 & 0.2799 \tabularnewline
p-value & (0.0224) & (0.0035) & (0.005) \tabularnewline
X4;X1 & -0.1355 & -0.2466 & -0.153 \tabularnewline
p-value & (0.3483) & (0.0843) & (0.1212) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285921&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]X7;X6[/C][C]0.5917[/C][C]0.3463[/C][C]0.2669[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0.0137)[/C][C](0.009)[/C][/ROW]
[ROW][C]X7;X5[/C][C]-0.514[/C][C]-0.5118[/C][C]-0.3837[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](1e-04)[/C][C](2e-04)[/C][/ROW]
[ROW][C]X7;X4[/C][C]0.6811[/C][C]0.7345[/C][C]0.5835[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X7;X1[/C][C]-0.0263[/C][C]-0.0801[/C][C]-0.0348[/C][/ROW]
[ROW][C]p-value[/C][C](0.8562)[/C][C](0.5802)[/C][C](0.7301)[/C][/ROW]
[ROW][C]X6;X5[/C][C]-0.627[/C][C]-0.6778[/C][C]-0.5123[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X6;X4[/C][C]0.1824[/C][C]0.079[/C][C]0.0521[/C][/ROW]
[ROW][C]p-value[/C][C](0.205)[/C][C](0.5855)[/C][C](0.6029)[/C][/ROW]
[ROW][C]X6;X1[/C][C]-0.1752[/C][C]-0.1909[/C][C]-0.1317[/C][/ROW]
[ROW][C]p-value[/C][C](0.2236)[/C][C](0.1842)[/C][C](0.1828)[/C][/ROW]
[ROW][C]X5;X4[/C][C]-0.5372[/C][C]-0.5485[/C][C]-0.4386[/C][/ROW]
[ROW][C]p-value[/C][C](1e-04)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X5;X1[/C][C]0.3225[/C][C]0.4058[/C][C]0.2799[/C][/ROW]
[ROW][C]p-value[/C][C](0.0224)[/C][C](0.0035)[/C][C](0.005)[/C][/ROW]
[ROW][C]X4;X1[/C][C]-0.1355[/C][C]-0.2466[/C][C]-0.153[/C][/ROW]
[ROW][C]p-value[/C][C](0.3483)[/C][C](0.0843)[/C][C](0.1212)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285921&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285921&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
X7;X60.59170.34630.2669
p-value(0)(0.0137)(0.009)
X7;X5-0.514-0.5118-0.3837
p-value(1e-04)(1e-04)(2e-04)
X7;X40.68110.73450.5835
p-value(0)(0)(0)
X7;X1-0.0263-0.0801-0.0348
p-value(0.8562)(0.5802)(0.7301)
X6;X5-0.627-0.6778-0.5123
p-value(0)(0)(0)
X6;X40.18240.0790.0521
p-value(0.205)(0.5855)(0.6029)
X6;X1-0.1752-0.1909-0.1317
p-value(0.2236)(0.1842)(0.1828)
X5;X4-0.5372-0.5485-0.4386
p-value(1e-04)(0)(0)
X5;X10.32250.40580.2799
p-value(0.0224)(0.0035)(0.005)
X4;X1-0.1355-0.2466-0.153
p-value(0.3483)(0.0843)(0.1212)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.50.50.6
0.020.50.60.6
0.030.60.60.6
0.040.60.60.6
0.050.60.60.6
0.060.60.60.6
0.070.60.60.6
0.080.60.60.6
0.090.60.70.6
0.10.60.70.6

\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 & 0.6 \tabularnewline
0.02 & 0.5 & 0.6 & 0.6 \tabularnewline
0.03 & 0.6 & 0.6 & 0.6 \tabularnewline
0.04 & 0.6 & 0.6 & 0.6 \tabularnewline
0.05 & 0.6 & 0.6 & 0.6 \tabularnewline
0.06 & 0.6 & 0.6 & 0.6 \tabularnewline
0.07 & 0.6 & 0.6 & 0.6 \tabularnewline
0.08 & 0.6 & 0.6 & 0.6 \tabularnewline
0.09 & 0.6 & 0.7 & 0.6 \tabularnewline
0.1 & 0.6 & 0.7 & 0.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285921&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]0.6[/C][/ROW]
[ROW][C]0.02[/C][C]0.5[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.03[/C][C]0.6[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.04[/C][C]0.6[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.05[/C][C]0.6[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.06[/C][C]0.6[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.07[/C][C]0.6[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.08[/C][C]0.6[/C][C]0.6[/C][C]0.6[/C][/ROW]
[ROW][C]0.09[/C][C]0.6[/C][C]0.7[/C][C]0.6[/C][/ROW]
[ROW][C]0.1[/C][C]0.6[/C][C]0.7[/C][C]0.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285921&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285921&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
0.010.50.50.6
0.020.50.60.6
0.030.60.60.6
0.040.60.60.6
0.050.60.60.6
0.060.60.60.6
0.070.60.60.6
0.080.60.60.6
0.090.60.70.6
0.10.60.70.6



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')