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Kendall Tau correlation function

R Software Module: rwasp_pairs.wasp (opens new window with default values)
Title produced by software: Kendall tau Correlation Matrix
Date of computation: Wed, 28 Nov 2007 09:04:54 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Nov/28/t1196265375md3dgt0qprk7fgq.htm/, Retrieved Wed, 28 Nov 2007 16:56:19 +0100
 
User-defined keywords:
Elynne
 
Dataseries X:
» Textbox « » Textfile « » CSV «
1,065757 0,938300 100,600000 100,600000 1,084952 0,921700 100,600000 100,600000 1,099505 0,909500 100,600000 100,600000 1,121076 0,892000 100,600000 100,600000 1,143903 0,874200 100,600000 100,600000 1,172058 0,853200 101,300000 101,300000 1,161845 0,860700 99,300000 99,300000 1,110494 0,900500 99,200000 99,200000 1,097574 0,911100 99,200000 99,200000 1,103875 0,905900 99,600000 99,200000 1,125746 0,888300 103,500000 99,200000 1,120574 0,892400 104,900000 99,200000 1,132118 0,883300 105,300000 99,600000 1,149425 0,870000 107,700000 101,600000 1,141813 0,875800 109,200000 101,600000 1,128923 0,885800 108,000000 101,600000 1,090513 0,917000 108,400000 101,600000 1,046682 0,955400 108,400000 101,600000 1,007861 0,992200 106,800000 101,600000 1,022704 0,977800 109,100000 103,300000 1,019576 0,980800 114,100000 103,300000 1,019264 0,981100 118,900000 103,300000 0,998602 1,001400 112,400000 103,300000 0,982029 1,018300 112,400000 103,300000 0,941442 1,062200 109,700000 99,600000 0,928247 1,077300 111,100000 99,600000 0,925326 1,080700 108,600000 99,600000 0,921829 1,084800 107,200000 99,600000 0,863409 1,158200 105,200000 99,600000 0,857412 1,166300 105,200000 99,600000 0,879353 1,137200 104,900000 101,200000 0,897747 1,113900 106,100000 101,200000 0,891107 1,122200 106,400000 101,200000 0,855286 1,169200 103,400000 101,200000 0,854555 1,170200 105,400000 101,200000 0,813935 1,228600 106,200000 101,200000 0,792833 1,261300 104,200000 97,700000 0,790764 1,264600 102,800000 97,700000 0,815528 1,226200 102,700000 97,700000 0,834376 1,198500 103,700000 99,900000 0,832848 1,200700 103,100000 99,900000 0,823859 1,213800 103,300000 99,900000 0,815262 1,226600 105,100000 99,900000 0,821288 1,217600 108,200000 99,900000 0,818465 1,221800 105,700000 99,900000 0,800641 1,249000 105,900000 99,900000 0,769764 1,299100 108,500000 99,900000 0,745823 1,340800 107,200000 99,900000 0,762253 1,311900 105,900000 99,900000 0,768403 1,301400 107,300000 99,900000 0,757518 1,320100 107,900000 99,900000 0,772917 1,293800 105,800000 99,900000 0,787774 1,269400 105,300000 99,900000 0,822030 1,216500 107,100000 99,900000 0,830772 1,203700 107,300000 99,900000 0,813537 1,229200 106,500000 99,900000 0,815927 1,225600 107,300000 99,900000 0,832293 1,201500 107,200000 99,900000 0,848464 1,178600 106,700000 99,900000 0,843455 1,185600 107,200000 99,900000 0,826241 1,210300 111,700000 99,900000 0,837661 1,193800 111,700000 99,900000 0,831947 1,202000 110,400000 99,900000 0,814930 1,227100 113,500000 99,900000 0,783085 1,277000 113,600000 99,900000 0,790514 1,265000 114,900000 99,900000 0,788395 1,268400 113,500000 99,900000 0,780579 1,281100 113,400000 102,600000 0,785731 1,272700 113,200000 102,600000 0,792959 1,261100 113,200000 102,600000 0,776337 1,288100 113,700000 102,600000 0,756830 1,321300 115,100000 102,600000 0,769290 1,299900 115,400000 102,600000 0,764877 1,307400 116,400000 102,600000 0,755173 1,324200 117,300000 102,600000 0,739864 1,351600 118,500000 102,600000 0,740138 1,351100 120,700000 102,600000 0,745212 1,341900 120,900000 102,600000 0,729076 1,371600 123,100000 102,600000 0,734107 1,362200 120,500000 102,600000
 
Text written by user:
 
Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Kendall tau rank correlations for all pairs of data series
pairtaup-value
tau( w , x )-12.25395406243867e-39
tau( w , y )-0.3729176484684061.08775275421928e-06
tau( w , z )-0.1195540397563790.142236058885558
tau( x , y )0.3729176484684061.08775275431405e-06
tau( x , z )0.1195540397563790.142236058885558
tau( y , z )0.4360841067202819.8265215298099e-08
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196265375md3dgt0qprk7fgq/1lbib1196265893.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196265375md3dgt0qprk7fgq/1lbib1196265893.ps (open in new window)


 
Parameters:
 
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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Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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