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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

Wed, 11 Nov 2009 08:31:42 -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/2009/Nov/11/t1257953678hhgd1f6fg58cui5.htm/, Retrieved Fri, 26 Apr 2024 19:58:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55695, Retrieved Fri, 26 Apr 2024 19:58:15 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

186

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

-     [Kendall tau Correlation Matrix] [SHW WS6 - Kendall...] [2009-11-03 12:01:46] [253127ae8da904b75450fbd69fe4eb21]
F    D    [Kendall tau Correlation Matrix] [Workshop 6] [2009-11-11 15:31:42] [aef022288383377281176d9807aba5bf] [Current]

Feedback Forum

2009-11-20 20:06:45 [St�phanie Van Dyck] [reply] 
Deze techniek is robuust, wordt dus bijna niet beïnvloed door outliers. Rechts boven zie je de correlaties, waarbij je kan zien dat er duidelijk correlatie is tussen de consumptieprijsindex en de gezondheidsindex, zoals de student aangeeft. De cijfers linksonder geven het percentage kans aan dat de rechterbovenkant fout is.

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Dataseries X:

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Histogram

Boxplots

101	100.64	4.54	9
100.88	100.63	4.23	8.6
100.55	100.43	3.96	8.8
100.83	100.8	3.94	8.5
101.51	101.33	4.25	8.3
102.16	101.88	4.76	8.2
102.39	101.85	4.44	8
102.54	102.04	4.19	7.9
102.85	102.22	4.55	8
103.47	102.63	4.82	9.3
103.57	102.65	4.80	9.6
103.69	102.54	4.84	9
103.5	102.37	4.16	8.7
103.47	102.68	4.25	8.3
103.45	102.76	4.56	8.4
103.48	102.82	4.31	7.8
103.93	103.31	4.06	7.8
103.89	103.23	3.37	7.6
104.4	103.6	3.64	7.7
104.79	103.95	3.87	7.6
104.77	103.93	3.55	7.6
105.13	104.25	3.28	8.6
105.26	104.38	3.31	8.6
104.96	104.36	2.90	8.2
104.75	104.32	2.89	7.5
105.01	104.58	3.17	7.1
105.15	104.68	3.32	7
105.2	104.92	3.34	6.9
105.77	105.46	3.45	6.6
105.78	105.23	3.50	6.3
106.26	105.58	3.46	6.1
106.13	105.34	2.96	5.9
106.12	105.28	2.97	6
106.57	105.7	3.05	7.2
106.44	105.67	2.80	7.2
106.54	105.71	3.19	6.4
107.1	106.19	3.92	6.1
108.1	106.93	4.62	5.9
108.4	107.44	4.77	6.1
108.84	107.85	5.14	5.9
109.62	108.71	5.32	5.8
110.42	109.32	6.07	5.7
110.67	109.49	5.83	5.6
111.66	110.2	6.89	5.3
112.28	110.62	7.48	5.5
112.87	111.22	7.59	6.5
112.18	110.88	7.07	6.5
112.36	111.15	7.14	6.1
112.16	111.29	6.40	5.9
111.49	111.09	4.82	5.8
111.25	111.24	4.31	6.2
111.36	111.45	4.00	6.5
111.74	111.75	3.61	6.6
111.1	111.07	2.30	6.7
111.33	111.17	2.28	6.6
111.25	110.96	1.31	6.5
111.04	110.5	0.58	6.8
110.97	110.48	0.00	7.8
111.31	110.66	0.90	7.9
111.02	110.46	0.49	7.4

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55695&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55695&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55695&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Kendall tau rank correlations for all pairs of data series
pair	tau	p-value
tau( Cons , Gezond )	0.912380021413332	0
tau( Cons , Inflatie )	0.00622347973982062	0.94406285743222
tau( Cons , Werk )	-0.583291073787926	7.10390063686292e-11
tau( Gezond , Inflatie )	-0.0446706408914014	0.614340742923976
tau( Gezond , Werk )	-0.570400074659013	1.79724650090209e-10
tau( Inflatie , Werk )	-0.088575607992596	0.322370697884913

\begin{tabular}{lllllllll}
\hline
Kendall tau rank correlations for all pairs of data series \tabularnewline
pair & tau & p-value \tabularnewline
tau( Cons , Gezond ) & 0.912380021413332 & 0 \tabularnewline
tau( Cons , Inflatie ) & 0.00622347973982062 & 0.94406285743222 \tabularnewline
tau( Cons , Werk ) & -0.583291073787926 & 7.10390063686292e-11 \tabularnewline
tau( Gezond , Inflatie ) & -0.0446706408914014 & 0.614340742923976 \tabularnewline
tau( Gezond , Werk ) & -0.570400074659013 & 1.79724650090209e-10 \tabularnewline
tau( Inflatie , Werk ) & -0.088575607992596 & 0.322370697884913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55695&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( Cons , Gezond )[/C][C]0.912380021413332[/C][C]0[/C][/ROW]
[ROW][C]tau( Cons , Inflatie )[/C][C]0.00622347973982062[/C][C]0.94406285743222[/C][/ROW]
[ROW][C]tau( Cons , Werk )[/C][C]-0.583291073787926[/C][C]7.10390063686292e-11[/C][/ROW]
[ROW][C]tau( Gezond , Inflatie )[/C][C]-0.0446706408914014[/C][C]0.614340742923976[/C][/ROW]
[ROW][C]tau( Gezond , Werk )[/C][C]-0.570400074659013[/C][C]1.79724650090209e-10[/C][/ROW]
[ROW][C]tau( Inflatie , Werk )[/C][C]-0.088575607992596[/C][C]0.322370697884913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55695&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55695&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( Cons , Gezond )	0.912380021413332	0
tau( Cons , Inflatie )	0.00622347973982062	0.94406285743222
tau( Cons , Werk )	-0.583291073787926	7.10390063686292e-11
tau( Gezond , Inflatie )	-0.0446706408914014	0.614340742923976
tau( Gezond , Werk )	-0.570400074659013	1.79724650090209e-10
tau( Inflatie , Werk )	-0.088575607992596	0.322370697884913

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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