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*Unverified author*

R Software Module

rwasp_pairs.wasp

Title produced by software

Kendall tau Correlation Matrix

Date of computation

Thu, 06 Nov 2008 13:52:15 -0700

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/2008/Nov/06/t1226004883j7757dee3vrdur5.htm/, Retrieved Sun, 19 May 2024 05:42:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=22402, Retrieved Sun, 19 May 2024 05:42:57 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

138

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

F     [Mean Plot] [workshop 3] [2007-10-26 12:14:28] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F RMPD    [Kendall tau Correlation Matrix] [taak 2 vraag 2] [2008-11-06 20:52:15] [00d8a67dacc57b43a0eea87363e750e0] [Current]

Feedback Forum

2008-11-11 21:44:14 [Peter Van Doninck] [reply] 
Verkeerde interpretatie. Star plot dient getekend te worden. Zo worden alle eigenschappen van de auto's weergegevan door middel van lijnen. Zo is het eveneens mogelijk verschillende eigenschappen tussen verschillende auto's te vergelijken. Auto nummer 19 en auto nummer 20 komen bijvoorbeeld vrij goed overeen. Toch is deze analyse beperkt tot een aantal auto's en een aantal kenmerken, anders wordt het te ingewikkeld.
2008-11-12 10:57:26 [Toon Wouters] [reply] 
Verkeerde berekening gemaakt. Hier moest je de methode van de star plot gebruiken. Dan had je een goed overzicht gekregen van alle technische specificaties per auto

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Dataseries X:

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21	6	160	110	3,9	2,62	16,46
21	6	160	110	3,9	2,875	17,02
22,8	4	108	93	3,85	2,32	18,61
21,4	6	258	110	3,08	3,215	19,44
18,7	8	360	175	3,15	3,44	17,02
18,1	6	225	105	2,76	3,46	20,22
14,3	8	360	245	3,21	3,57	15,84
24,4	4	146,7	62	3,69	3,19	20
22,8	4	140,8	95	3,92	3,15	22,9
19,2	6	167,6	123	3,92	3,44	18,3
17,8	6	167,6	123	3,92	3,44	18,9
16,4	8	275,8	180	3,07	4,07	17,4
17,3	8	275,8	180	3,07	3,73	17,6
15,2	8	275,8	180	3,07	3,78	18
10,4	8	472	205	2,93	5,25	17,98
10,4	8	460	215	3	5,424	17,82
14,7	8	440	230	3,23	5,345	17,42
32,4	4	78,7	66	4,08	2,2	19,47
30,4	4	75,7	52	4,93	1,615	18,52
33,9	4	71,1	65	4,22	1,835	19,9
21,5	4	120,1	97	3,7	2,465	20,01
15,5	8	318	150	2,76	3,52	16,87
15,2	8	304	150	3,15	3,435	17,3
13,3	8	350	245	3,73	3,84	15,41
19,2	8	400	175	3,08	3,845	17,05
27,3	4	79	66	4,08	1,935	18,9
26	4	120,3	91	4,43	2,14	16,7
30,4	4	95,1	113	3,77	1,513	16,9
15,8	8	351	264	4,22	3,17	14,5
19,7	6	145	175	3,62	2,77	15,5
15	8	301	335	3,54	3,57	14,6
21,4	4	121	109	4,11	2,78	18,6

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	'George Udny Yule' @ 72.249.76.132
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
R Framework error message & The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22402&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[ROW][C]R Framework error message[/C][C]The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22402&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22402&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	'George Udny Yule' @ 72.249.76.132
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( mpg , cyl )	-0.795313408619535	2.25362043202028e-08
tau( mpg , disp )	-0.768131146377997	1.00695006483270e-09
tau( mpg , hp )	-0.742812506088673	4.33160494891487e-09
tau( mpg , drat )	0.464548785236484	0.000238153299719546
tau( mpg , wt )	-0.727832149528431	6.70577040559586e-09
tau( mpg , qsec )	0.315365218988041	0.0118519955124592
tau( cyl , disp )	0.814426251098896	9.95652738033925e-09
tau( cyl , hp )	0.785186498532206	3.99666648664976e-08
tau( cyl , drat )	-0.551317846419971	0.000113971491179788
tau( cyl , wt )	0.728261112109847	2.8291139386738e-07
tau( cyl , qsec )	-0.448969823063678	0.00151975754259582
tau( disp , hp )	0.665998735836933	1.37128917110374e-07
tau( disp , drat )	-0.498982773649946	7.7849413883775e-05
tau( disp , wt )	0.74338239716769	3.07005865174403e-09
tau( disp , qsec )	-0.300815493561507	0.0162715491077270
tau( hp , drat )	-0.382626885048903	0.00260253883990014
tau( hp , wt )	0.611308095732059	1.26623978791152e-06
tau( hp , qsec )	-0.47290612619145	0.000173773709093133
tau( drat , wt )	-0.547149528309556	1.42468808580507e-05
tau( drat , qsec )	0.0327215469575162	0.794874350624461
tau( wt , qsec )	-0.141988121712634	0.255895606449493

\begin{tabular}{lllllllll}
\hline
Kendall tau rank correlations for all pairs of data series \tabularnewline
pair & tau & p-value \tabularnewline
tau( mpg , cyl ) & -0.795313408619535 & 2.25362043202028e-08 \tabularnewline
tau( mpg , disp ) & -0.768131146377997 & 1.00695006483270e-09 \tabularnewline
tau( mpg , hp ) & -0.742812506088673 & 4.33160494891487e-09 \tabularnewline
tau( mpg , drat ) & 0.464548785236484 & 0.000238153299719546 \tabularnewline
tau( mpg , wt ) & -0.727832149528431 & 6.70577040559586e-09 \tabularnewline
tau( mpg , qsec
 ) & 0.315365218988041 & 0.0118519955124592 \tabularnewline
tau( cyl , disp ) & 0.814426251098896 & 9.95652738033925e-09 \tabularnewline
tau( cyl , hp ) & 0.785186498532206 & 3.99666648664976e-08 \tabularnewline
tau( cyl , drat ) & -0.551317846419971 & 0.000113971491179788 \tabularnewline
tau( cyl , wt ) & 0.728261112109847 & 2.8291139386738e-07 \tabularnewline
tau( cyl , qsec
 ) & -0.448969823063678 & 0.00151975754259582 \tabularnewline
tau( disp , hp ) & 0.665998735836933 & 1.37128917110374e-07 \tabularnewline
tau( disp , drat ) & -0.498982773649946 & 7.7849413883775e-05 \tabularnewline
tau( disp , wt ) & 0.74338239716769 & 3.07005865174403e-09 \tabularnewline
tau( disp , qsec
 ) & -0.300815493561507 & 0.0162715491077270 \tabularnewline
tau( hp , drat ) & -0.382626885048903 & 0.00260253883990014 \tabularnewline
tau( hp , wt ) & 0.611308095732059 & 1.26623978791152e-06 \tabularnewline
tau( hp , qsec
 ) & -0.47290612619145 & 0.000173773709093133 \tabularnewline
tau( drat , wt ) & -0.547149528309556 & 1.42468808580507e-05 \tabularnewline
tau( drat , qsec
 ) & 0.0327215469575162 & 0.794874350624461 \tabularnewline
tau( wt , qsec
 ) & -0.141988121712634 & 0.255895606449493 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22402&T=1

[TABLE]
[ROW][C]Kendall tau rank correlations for all pairs of data series[/C][/ROW]
[ROW][C]pair[/C][C]tau[/C][C]p-value[/C][/ROW]
[ROW][C]tau( mpg , cyl )[/C][C]-0.795313408619535[/C][C]2.25362043202028e-08[/C][/ROW]
[ROW][C]tau( mpg , disp )[/C][C]-0.768131146377997[/C][C]1.00695006483270e-09[/C][/ROW]
[ROW][C]tau( mpg , hp )[/C][C]-0.742812506088673[/C][C]4.33160494891487e-09[/C][/ROW]
[ROW][C]tau( mpg , drat )[/C][C]0.464548785236484[/C][C]0.000238153299719546[/C][/ROW]
[ROW][C]tau( mpg , wt )[/C][C]-0.727832149528431[/C][C]6.70577040559586e-09[/C][/ROW]
[ROW][C]tau( mpg , qsec
 )[/C][C]0.315365218988041[/C][C]0.0118519955124592[/C][/ROW]
[ROW][C]tau( cyl , disp )[/C][C]0.814426251098896[/C][C]9.95652738033925e-09[/C][/ROW]
[ROW][C]tau( cyl , hp )[/C][C]0.785186498532206[/C][C]3.99666648664976e-08[/C][/ROW]
[ROW][C]tau( cyl , drat )[/C][C]-0.551317846419971[/C][C]0.000113971491179788[/C][/ROW]
[ROW][C]tau( cyl , wt )[/C][C]0.728261112109847[/C][C]2.8291139386738e-07[/C][/ROW]
[ROW][C]tau( cyl , qsec
 )[/C][C]-0.448969823063678[/C][C]0.00151975754259582[/C][/ROW]
[ROW][C]tau( disp , hp )[/C][C]0.665998735836933[/C][C]1.37128917110374e-07[/C][/ROW]
[ROW][C]tau( disp , drat )[/C][C]-0.498982773649946[/C][C]7.7849413883775e-05[/C][/ROW]
[ROW][C]tau( disp , wt )[/C][C]0.74338239716769[/C][C]3.07005865174403e-09[/C][/ROW]
[ROW][C]tau( disp , qsec
 )[/C][C]-0.300815493561507[/C][C]0.0162715491077270[/C][/ROW]
[ROW][C]tau( hp , drat )[/C][C]-0.382626885048903[/C][C]0.00260253883990014[/C][/ROW]
[ROW][C]tau( hp , wt )[/C][C]0.611308095732059[/C][C]1.26623978791152e-06[/C][/ROW]
[ROW][C]tau( hp , qsec
 )[/C][C]-0.47290612619145[/C][C]0.000173773709093133[/C][/ROW]
[ROW][C]tau( drat , wt )[/C][C]-0.547149528309556[/C][C]1.42468808580507e-05[/C][/ROW]
[ROW][C]tau( drat , qsec
 )[/C][C]0.0327215469575162[/C][C]0.794874350624461[/C][/ROW]
[ROW][C]tau( wt , qsec
 )[/C][C]-0.141988121712634[/C][C]0.255895606449493[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22402&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22402&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( mpg , cyl )	-0.795313408619535	2.25362043202028e-08
tau( mpg , disp )	-0.768131146377997	1.00695006483270e-09
tau( mpg , hp )	-0.742812506088673	4.33160494891487e-09
tau( mpg , drat )	0.464548785236484	0.000238153299719546
tau( mpg , wt )	-0.727832149528431	6.70577040559586e-09
tau( mpg , qsec )	0.315365218988041	0.0118519955124592
tau( cyl , disp )	0.814426251098896	9.95652738033925e-09
tau( cyl , hp )	0.785186498532206	3.99666648664976e-08
tau( cyl , drat )	-0.551317846419971	0.000113971491179788
tau( cyl , wt )	0.728261112109847	2.8291139386738e-07
tau( cyl , qsec )	-0.448969823063678	0.00151975754259582
tau( disp , hp )	0.665998735836933	1.37128917110374e-07
tau( disp , drat )	-0.498982773649946	7.7849413883775e-05
tau( disp , wt )	0.74338239716769	3.07005865174403e-09
tau( disp , qsec )	-0.300815493561507	0.0162715491077270
tau( hp , drat )	-0.382626885048903	0.00260253883990014
tau( hp , wt )	0.611308095732059	1.26623978791152e-06
tau( hp , qsec )	-0.47290612619145	0.000173773709093133
tau( drat , wt )	-0.547149528309556	1.42468808580507e-05
tau( drat , qsec )	0.0327215469575162	0.794874350624461
tau( wt , qsec )	-0.141988121712634	0.255895606449493

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = grey ;

Parameters (R input):

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='kendall')
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$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kendall tau rank correlations for all pairs of data series',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'tau',1,TRUE)
a<-table.element(a,'p-value',1,TRUE)
a<-table.row.end(a)
n <- length(y[,1])
n
cor.test(y[1,],y[2,],method='kendall')
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste('tau(',dimnames(t(x))[[2]][i])
dum <- paste(dum,',')
dum <- paste(dum,dimnames(t(x))[[2]][j])
dum <- paste(dum,')')
a<-table.element(a,dum,header=TRUE)
r <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,r$estimate)
a<-table.element(a,r$p.value)
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code