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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 computationMon, 10 Dec 2018 16:34:01 +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/Dec/10/t1544456309rky75twgstxqhr8.htm/, Retrieved Wed, 22 May 2024 10:01:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315826, Retrieved Wed, 22 May 2024 10:01:36 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kendall tau Correlation Matrix] [populatie-ecologi...] [2018-12-10 15:34:01] [474dc78f9f78c1bed511cb77e705c8bc] [Current]
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Dataseries X:
29.82 0.79
3.16 2.21
38.48 2.12
20.82 0.93
0.09 5.38
41.09 3.14
2.97 2.23
0.1 11.88
23.05 9.31
8.46 6.06
9.31 2.31
0.37 6.84
1.32 7.49
154.7 0.72
0.28 4.48
9.4 5.09
11.06 7.44
10.05 1.41
0.06 5.77
0.74 4.84
10.5 2.96
3.83 3.12
2 3.83
198.66 3.11
0.03 2.86
0.41 4.06
7.28 3.32
16.46 1.21
9.85 0.8
0.49 2.52
14.86 1.21
21.7 1.17
34.84 8.17
0.06 5.65
4.53 1.24
12.45 1.46
17.46 4.36
1408.04 3.38
47.7 1.87
0.72 1.03
4.34 1.29
65.7 0.82
4.8 2.84
19.84 1.27
4.31 3.92
11.27 1.95
1.13 4.21
10.66 5.19
5.6 5.51
0.86 2.19
0.07 2.57
10.28 1.53
15.49 2.17
80.72 2.15
6.3 2.07
0.74 3.97
6.13 0.42
1.29 6.86
91.73 1.02
0.88 2.9
5.41 5.87
63.98 5.14
0.24 2.34
0.27 4.73
1.63 2.02
1.79 1.03
4.36 1.58
82.8 5.3
25.37 1.97
11.12 4.38
0.1 2.98
0.46 3.23
15.08 1.89
11.45 1.41
1.66 1.53
0.8 3.07
10.17 0.61
7.94 1.68
9.98 2.92
1236.69 1.16
246.86 1.58
76.42 2.79
32.78 1.88
4.58 5.57
7.64 6.22
60.92 4.61
2.77 1.89
127.25 5.02
7.01 2.1
16.27 5.55
43.18 1.03
24.76 1.17
49 5.69
3.25 8.13
5.47 1.91
6.65 1.22
2.06 6.29
4.65 3.84
2.05 1.66
4.19 1.21
6.16 3.69
3.03 5.83
0.52 15.82
2.11 3.26
22.29 0.99
15.91 0.81
29.24 3.71
14.85 1.53
0.4 2.08
3.8 2.54
1.24 3.46
120.85 2.89
3.51 1.78
2.8 6.08
0.62 3.78
0 7.78
32.52 1.68
25.2 0.87
52.8 1.43
2.26 2.48
0.01 2.94
27.47 0.98
16.71 5.28
0.25 3.58
4.46 5.6
5.99 1.39
17.16 1.56
168.83 1.16
4.99 4.98
3.31 7.52
179.16 0.79
3.8 2.79
7.17 1.91
6.69 4.16
29.99 2.28
96.71 1.1
38.21 4.44
10.6 3.88
2.05 10.8
0.86 3.65
21.76 2.71
143.17 5.69
11.46 0.87
0.05 4.94
0.18 2.45
0.11 3.11
0.19 2.77
0.19 1.49
28.29 5.61
13.73 1.21
9.55 2.7
5.98 1.24
5.3 7.97
5.45 4.06
2.07 5.81
0.55 1.29
10.2 1.24
52.39 3.31
46.76 3.67
21.1 1.32
0.54 4.25
1.23 2.01
9.51 7.25
8 5.79
21.89 1.51
8.01 0.91
47.78 1.32
66.78 2.66
1.11 0.48
6.64 1.13
0.1 2.7
1.34 7.92
10.88 2.34
74 3.33
5.17 5.47
36.35 1.24
45.53 2.84
63.03 4.94
9.206 7.93
317.5 8.22
3.4 2.91
28.54 2.32
29.96 3.57
90.8 1.65
0.01 2.07
23.85 1.03
14.08 0.99
13.72 1.37




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315826&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315826&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315826&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







Correlations for all pairs of data series (method=pearson)
Population_(millions)Total_Ecological_Footprint
Population_(millions)1-0.058
Total_Ecological_Footprint-0.0581

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Population_(millions) & Total_Ecological_Footprint \tabularnewline
Population_(millions) & 1 & -0.058 \tabularnewline
Total_Ecological_Footprint & -0.058 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315826&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Population_(millions)[/C][C]Total_Ecological_Footprint[/C][/ROW]
[ROW][C]Population_(millions)[/C][C]1[/C][C]-0.058[/C][/ROW]
[ROW][C]Total_Ecological_Footprint[/C][C]-0.058[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315826&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315826&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)
Population_(millions)Total_Ecological_Footprint
Population_(millions)1-0.058
Total_Ecological_Footprint-0.0581







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Population_(millions);Total_Ecological_Footprint-0.0577-0.2634-0.1773
p-value(0.4314)(3e-04)(3e-04)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Population_(millions);Total_Ecological_Footprint & -0.0577 & -0.2634 & -0.1773 \tabularnewline
p-value & (0.4314) & (3e-04) & (3e-04) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315826&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]Population_(millions);Total_Ecological_Footprint[/C][C]-0.0577[/C][C]-0.2634[/C][C]-0.1773[/C][/ROW]
[ROW][C]p-value[/C][C](0.4314)[/C][C](3e-04)[/C][C](3e-04)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315826&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315826&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
Population_(millions);Total_Ecological_Footprint-0.0577-0.2634-0.1773
p-value(0.4314)(3e-04)(3e-04)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.01011
0.02011
0.03011
0.04011
0.05011
0.06011
0.07011
0.08011
0.09011
0.1011

\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 & 1 & 1 \tabularnewline
0.02 & 0 & 1 & 1 \tabularnewline
0.03 & 0 & 1 & 1 \tabularnewline
0.04 & 0 & 1 & 1 \tabularnewline
0.05 & 0 & 1 & 1 \tabularnewline
0.06 & 0 & 1 & 1 \tabularnewline
0.07 & 0 & 1 & 1 \tabularnewline
0.08 & 0 & 1 & 1 \tabularnewline
0.09 & 0 & 1 & 1 \tabularnewline
0.1 & 0 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315826&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[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.02[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.03[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.04[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.05[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.06[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.07[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.08[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.09[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]0.1[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315826&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315826&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
0.01011
0.02011
0.03011
0.04011
0.05011
0.06011
0.07011
0.08011
0.09011
0.1011



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')