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Kendall tau Correlation

*The author of this computation has been verified*
R Software Module: /rwasp_pairs.wasp (opens new window with default values)
Title produced by software: Kendall tau Correlation Matrix
Date of computation: Mon, 27 Dec 2010 13:41:06 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/27/t1293457181tre5ioo4vcbrw6p.htm/, Retrieved Mon, 27 Dec 2010 14:39:41 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/27/t1293457181tre5ioo4vcbrw6p.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
921365 18919 48873 137852 987921 19147 52118 145224 1132614 21518 60530 163575 1332224 20941 55644 190761 1418133 22401 57121 196562 1411549 22181 55697 204493 1695920 22494 56483 259479 1636173 21479 51541 259479 1539653 22322 56328 223164 1395314 21829 54349 194886 1127575 20370 59885 160407 1036076 18467 55806 151747 989236 18780 54559 152448 1008380 18815 55590 148388 1207763 20881 63442 168510 1368839 21443 61258 188041 1469798 22333 55829 192020 1498721 22944 58023 205250 1761769 22536 58887 261642 1653214 21658 51510 251614 1599104 23035 60006 222726 1421179 21969 60831 179039 1163995 20297 61559 151462 1037735 18564 61325 143653 1015407 18844 55222 143762 1039210 18762 56370 134580 1258049 21757 66063 165273 1469445 20501 60864 181016 1552346 23181 57596 189079 1549144 23015 57650 199266 1785895 22828 55324 248742 1662335 21597 54203 244139 1629440 23005 61155 219777 1467430 22243 63908 180679 1202209 20729 67466 156369 1076982 18310 63739 149176 1039367 19427 56602 etc...
 
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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Correlations for all pairs of data series (method=pearson)
passagiersbewegingcargoperauto
passagiers10.757-0.0680.92
beweging0.75710.4320.714
cargo-0.0680.4321-0.008
perauto0.920.714-0.0081


Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
passagiers;beweging0.75690.74620.5561
p-value(0)(0)(0)
passagiers;cargo-0.0681-0.058-0.0243
p-value(0.5698)(0.6278)(0.7631)
passagiers;perauto0.92030.9390.7799
p-value(0)(0)(0)
beweging;cargo0.43250.36690.2399
p-value(1e-04)(0.0015)(0.0029)
beweging;perauto0.7140.76820.58
p-value(0)(0)(0)
cargo;perauto-0.0084-0.0065-0.0082
p-value(0.9441)(0.9566)(0.9187)
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/27/t1293457181tre5ioo4vcbrw6p/1cgfk1293457263.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/27/t1293457181tre5ioo4vcbrw6p/1cgfk1293457263.ps (open in new window)


 
Parameters (Session):
par1 = pearson ;
 
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')
 





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