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Description of Statistical Computation

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 computationMon, 03 Nov 2008 14:18:54 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/03/t12257472669kjcpkq1q4kgs7c.htm/, Retrieved Sun, 19 May 2024 11:40:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=21313, Retrieved Sun, 19 May 2024 11:40:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

Tree of Dependent Computations

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    D  [Mean Plot] [Mean Plot] [2008-11-02 15:46:36] [bc937651ef42bf891200cf0e0edc7238]
- RMPD    [Linear Regression Graphical Model Validation] [Regression] [2008-11-03 20:33:31] [bc937651ef42bf891200cf0e0edc7238]
-    D      [Linear Regression Graphical Model Validation] [Regression 2] [2008-11-03 20:40:26] [bc937651ef42bf891200cf0e0edc7238]
-    D        [Linear Regression Graphical Model Validation] [Regression 3] [2008-11-03 20:55:17] [bc937651ef42bf891200cf0e0edc7238]
F RMPD            [Kendall tau Correlation Matrix] [Kendall tau Corre...] [2008-11-03 21:18:54] [21d7d81e7693ad6dde5aadefb1046611] [Current]
Feedback Forum
2008-11-06 15:59:17 [Nathalie Koulouris] [reply] 
De student heeft deze vraag verkeerd beantwoord. Hoe hoger de p-waarde, hoe toevalliger. De waarde moet zeker onder 0,5 om betrouwbaar te zijn. In dit geval is dus RCF het meest betrouwbaar om RNR te voorspellen.
2008-11-10 12:13:43 [Kim De Vos] [reply] 
De studente heeft de gegevens verkeerd gebruikt.
Gegevens staan verkeerd -> tabel moet getransponeerd worden in bruikbare tabellen. Kolommen omdraaien.

Kendall tau corr. plot = veel robuuster voor outliers --> goede maatstaf om outliers te berekenen.

Getallen zeggen niets over de correlatie, maar wel iets over de betrouwbaarheid --> ze moeten liggen onder 0.05
bv. 0.01 ==> zeer betrouwbaar

Uit deze computation stel je vast dat RCF de beste predictor voor RNR met een correlatie van 80,95% en een kleine p-waarde van 0,01.

link: http://www.freestatistics.org/blog/date/2008/Oct/30/t1225367503fss9syamkr4k1b8.htm
2008-11-10 18:01:59 [Matthieu Blondeau] [reply] 
Vooreerst moeten de assen in het excel bestand verwisseld worden. De jaartallen moeten op de y-as staan en de variabelen op de x-as.

De student heeft een foutief antwoord gegeven aangezien RCF de beste predictor is. Men moet niet kijken naar de waarde op de grafiek maar naar de waarde in de tabel onder 'tau'. De waarde onderaan de grafiek geeft de betrouwbaarheid weer. Alle waarden onder de 0,05 zijn betrouwbaar.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
39,6 4,8 4,2 20,8 0,9
36,1 -4,2 2,6 17,1 0,85
34,4 1,6 3 22,3 0,83
33,4 5,2 3,9 25,1 0,84
34,8 9,1 4 27,7 0,85
33,7 4,6 3,5 24,9 0,83
36,3 10,6 4,1 29,5 0,83

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=21313&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=21313&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21313&T=0

As an alternative you can also use a QR Code:  
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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Kendall tau rank correlations for all pairs of data series
pairtaup-value
tau( REV , RNR )0.04761904761904761
tau( REV , RNVM )0.3333333333333330.381349206349206
tau( REV , RCF )-0.1428571428571430.772619047619048
tau( REV , RLEZ )0.3704792868174740.266379923342483
tau( RNR , RNVM )0.7142857142857140.0301587301587301
tau( RNR , RCF )0.809523809523810.0107142857142857
tau( RNR , RLEZ )-0.05292561240249630.873844698517373
tau( RNVM , RCF )0.5238095238095240.136111111111111
tau( RNVM , RLEZ )0.2646280620124820.427262856745706
tau( RCF , RLEZ )-0.2646280620124820.427262856745706

\begin{tabular}{lllllllll}
\hline
Kendall tau rank correlations for all pairs of data series \tabularnewline
pair & tau & p-value \tabularnewline
tau( REV , RNR ) & 0.0476190476190476 & 1 \tabularnewline
tau( REV , RNVM ) & 0.333333333333333 & 0.381349206349206 \tabularnewline
tau( REV , RCF ) & -0.142857142857143 & 0.772619047619048 \tabularnewline
tau( REV , RLEZ ) & 0.370479286817474 & 0.266379923342483 \tabularnewline
tau( RNR , RNVM ) & 0.714285714285714 & 0.0301587301587301 \tabularnewline
tau( RNR , RCF ) & 0.80952380952381 & 0.0107142857142857 \tabularnewline
tau( RNR , RLEZ ) & -0.0529256124024963 & 0.873844698517373 \tabularnewline
tau( RNVM , RCF ) & 0.523809523809524 & 0.136111111111111 \tabularnewline
tau( RNVM , RLEZ ) & 0.264628062012482 & 0.427262856745706 \tabularnewline
tau( RCF , RLEZ ) & -0.264628062012482 & 0.427262856745706 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=21313&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( REV , RNR )[/C][C]0.0476190476190476[/C][C]1[/C][/ROW]
[ROW][C]tau( REV , RNVM )[/C][C]0.333333333333333[/C][C]0.381349206349206[/C][/ROW]
[ROW][C]tau( REV , RCF )[/C][C]-0.142857142857143[/C][C]0.772619047619048[/C][/ROW]
[ROW][C]tau( REV , RLEZ )[/C][C]0.370479286817474[/C][C]0.266379923342483[/C][/ROW]
[ROW][C]tau( RNR , RNVM )[/C][C]0.714285714285714[/C][C]0.0301587301587301[/C][/ROW]
[ROW][C]tau( RNR , RCF )[/C][C]0.80952380952381[/C][C]0.0107142857142857[/C][/ROW]
[ROW][C]tau( RNR , RLEZ )[/C][C]-0.0529256124024963[/C][C]0.873844698517373[/C][/ROW]
[ROW][C]tau( RNVM , RCF )[/C][C]0.523809523809524[/C][C]0.136111111111111[/C][/ROW]
[ROW][C]tau( RNVM , RLEZ )[/C][C]0.264628062012482[/C][C]0.427262856745706[/C][/ROW]
[ROW][C]tau( RCF , RLEZ )[/C][C]-0.264628062012482[/C][C]0.427262856745706[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=21313&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21313&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Kendall tau rank correlations for all pairs of data series
pairtaup-value
tau( REV , RNR )0.04761904761904761
tau( REV , RNVM )0.3333333333333330.381349206349206
tau( REV , RCF )-0.1428571428571430.772619047619048
tau( REV , RLEZ )0.3704792868174740.266379923342483
tau( RNR , RNVM )0.7142857142857140.0301587301587301
tau( RNR , RCF )0.809523809523810.0107142857142857
tau( RNR , RLEZ )-0.05292561240249630.873844698517373
tau( RNVM , RCF )0.5238095238095240.136111111111111
tau( RNVM , RLEZ )0.2646280620124820.427262856745706
tau( RCF , RLEZ )-0.2646280620124820.427262856745706


Figures (Output of Computation)

Input Parameters & R Code

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')