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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Sun, 26 Dec 2010 15:06:39 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/26/t1293375907fdvt419inslo93y.htm/, Retrieved Mon, 06 May 2024 11:05:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115643, Retrieved Mon, 06 May 2024 11:05:28 +0000

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Original text written by user:

Gebruikte gegevens: Group, trades, dividends, Wealth

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

142

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- RMP     [ARIMA Backward Selection] [Unemployment] [2010-11-29 17:10:28] [b98453cac15ba1066b407e146608df68]
F   PD      [ARIMA Backward Selection] [Workshop 6 'Aanta...] [2010-12-14 18:47:02] [40c8b935cbad1b0be3c22a481f9723f7]
- R P         [ARIMA Backward Selection] [ARIMA backward se...] [2010-12-17 15:45:37] [75b8170d590d2aca2c97c1862bb2167f]
-   PD          [ARIMA Backward Selection] [ARIMA BACKWARD Se...] [2010-12-26 13:20:22] [c895532cb7349383dee5125244983cc8]
- RMP             [ARIMA Forecasting] [] [2010-12-26 14:45:55] [c895532cb7349383dee5125244983cc8]
- RM D                [Kendall tau Correlation Matrix] [Pearson correlati...] [2010-12-26 15:06:39] [9b9a58c480cb5dafe4bfceb51e1cfd12] [Current]
-                       [Kendall tau Correlation Matrix] [Kendall Tau Corre...] [2010-12-26 15:10:04] [c895532cb7349383dee5125244983cc8] 
-    D                    [Kendall tau Correlation Matrix] [Pearson correlati...] [2010-12-26 15:15:56] [c895532cb7349383dee5125244983cc8] 
-                           [Kendall tau Correlation Matrix] [Kendall Tau Corre...] [2010-12-26 15:18:36] [c895532cb7349383dee5125244983cc8] 
-   P                         [Kendall tau Correlation Matrix] [Kendal Tau Correl...] [2010-12-28 08:33:14] [75b8170d590d2aca2c97c1862bb2167f] 
-   P                         [Kendall tau Correlation Matrix] [berekening 7] [2010-12-28 13:47:30] [916599f00c9c716123aa8433d9efa14f] 
-   P                       [Kendall tau Correlation Matrix] [pearson correlati...] [2010-12-28 08:28:09] [75b8170d590d2aca2c97c1862bb2167f] 
-   P                       [Kendall tau Correlation Matrix] [berekening 6] [2010-12-28 13:45:17] [916599f00c9c716123aa8433d9efa14f] 

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1	0	60720	315380
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1	0	60720	315380
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1	0	60720	315380
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1	0	60720	315380
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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115643&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115643&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115643&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 Output	view raw output of R engine
Computing time	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Correlations for all pairs of data series (method=pearson)
	Group	trades	dividends	wealth
Group	1	-0.157	-0.147	-0.215
trades	-0.157	1	0.356	0.568
dividends	-0.147	0.356	1	0.378
wealth	-0.215	0.568	0.378	1

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=pearson) \tabularnewline
  & Group & trades & dividends & wealth \tabularnewline
Group & 1 & -0.157 & -0.147 & -0.215 \tabularnewline
trades & -0.157 & 1 & 0.356 & 0.568 \tabularnewline
dividends & -0.147 & 0.356 & 1 & 0.378 \tabularnewline
wealth & -0.215 & 0.568 & 0.378 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115643&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=pearson)[/C][/ROW]
[ROW][C] [/C][C]Group[/C][C]trades[/C][C]dividends[/C][C]wealth[/C][/ROW]
[ROW][C]Group[/C][C]1[/C][C]-0.157[/C][C]-0.147[/C][C]-0.215[/C][/ROW]
[ROW][C]trades[/C][C]-0.157[/C][C]1[/C][C]0.356[/C][C]0.568[/C][/ROW]
[ROW][C]dividends[/C][C]-0.147[/C][C]0.356[/C][C]1[/C][C]0.378[/C][/ROW]
[ROW][C]wealth[/C][C]-0.215[/C][C]0.568[/C][C]0.378[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115643&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115643&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)
	Group	trades	dividends	wealth
Group	1	-0.157	-0.147	-0.215
trades	-0.157	1	0.356	0.568
dividends	-0.147	0.356	1	0.378
wealth	-0.215	0.568	0.378	1

Correlations for all pairs of data series with p-values
pair	Pearson r	Spearman rho	Kendall tau
Group;trades	-0.1565	-0.1555	-0.1312
p-value	(0.0011)	(0.0012)	(0.0013)
Group;dividends	-0.1474	-0.1743	-0.1476
p-value	(0.0022)	(3e-04)	(3e-04)
Group;wealth	-0.2154	-0.1847	-0.1553
p-value	(0)	(1e-04)	(1e-04)
trades;dividends	0.3559	0.4049	0.3169
p-value	(0)	(0)	(0)
trades;wealth	0.5675	0.2659	0.1862
p-value	(0)	(0)	(0)
dividends;wealth	0.3776	0.3288	0.2459
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
Group;trades & -0.1565 & -0.1555 & -0.1312 \tabularnewline
p-value & (0.0011) & (0.0012) & (0.0013) \tabularnewline
Group;dividends & -0.1474 & -0.1743 & -0.1476 \tabularnewline
p-value & (0.0022) & (3e-04) & (3e-04) \tabularnewline
Group;wealth & -0.2154 & -0.1847 & -0.1553 \tabularnewline
p-value & (0) & (1e-04) & (1e-04) \tabularnewline
trades;dividends & 0.3559 & 0.4049 & 0.3169 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
trades;wealth & 0.5675 & 0.2659 & 0.1862 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
dividends;wealth & 0.3776 & 0.3288 & 0.2459 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115643&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]Group;trades[/C][C]-0.1565[/C][C]-0.1555[/C][C]-0.1312[/C][/ROW]
[ROW][C]p-value[/C][C](0.0011)[/C][C](0.0012)[/C][C](0.0013)[/C][/ROW]
[ROW][C]Group;dividends[/C][C]-0.1474[/C][C]-0.1743[/C][C]-0.1476[/C][/ROW]
[ROW][C]p-value[/C][C](0.0022)[/C][C](3e-04)[/C][C](3e-04)[/C][/ROW]
[ROW][C]Group;wealth[/C][C]-0.2154[/C][C]-0.1847[/C][C]-0.1553[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](1e-04)[/C][C](1e-04)[/C][/ROW]
[ROW][C]trades;dividends[/C][C]0.3559[/C][C]0.4049[/C][C]0.3169[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]trades;wealth[/C][C]0.5675[/C][C]0.2659[/C][C]0.1862[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]dividends;wealth[/C][C]0.3776[/C][C]0.3288[/C][C]0.2459[/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=115643&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115643&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
pair	Pearson r	Spearman rho	Kendall tau
Group;trades	-0.1565	-0.1555	-0.1312
p-value	(0.0011)	(0.0012)	(0.0013)
Group;dividends	-0.1474	-0.1743	-0.1476
p-value	(0.0022)	(3e-04)	(3e-04)
Group;wealth	-0.2154	-0.1847	-0.1553
p-value	(0)	(1e-04)	(1e-04)
trades;dividends	0.3559	0.4049	0.3169
p-value	(0)	(0)	(0)
trades;wealth	0.5675	0.2659	0.1862
p-value	(0)	(0)	(0)
dividends;wealth	0.3776	0.3288	0.2459
p-value	(0)	(0)	(0)

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 1 ; par6 = 1 ; par7 = 1 ; par8 = 0 ; par9 = 0 ; par10 = FALSE ;

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')
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)
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code