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Paper Pearson Correlation

*The author of this computation has been verified*
R Software Module: Patrick.Wessa/rwasp_pairs.wasp (opens new window with default values)
Title produced by software: Kendall tau Correlation Matrix
Date of computation: Sat, 18 Dec 2010 17:31:07 +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/18/t1292693503dinczrnneqyoud6.htm/, Retrieved Sat, 18 Dec 2010 18:31:45 +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/18/t1292693503dinczrnneqyoud6.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 «
631.923 21.454 97,06 130.678 654.294 23.899 97,73 120.877 671.833 24.939 98 137.114 586.840 23.580 97,76 134.406 600.969 24.562 97,48 120.262 625.568 24.696 97,77 130.846 558.110 23.785 97,96 120.343 630.577 23.812 98,22 98.881 628.654 21.917 98,51 115.678 603.184 19.713 98,19 120.796 656.255 19.282 98,37 94.261 600.730 18.788 98,31 89.151 670.326 21.453 98,6 119.880 678.423 24.482 98,96 131.468 641.502 27.474 99,11 155.089 625.311 27.264 99,64 149.581 628.177 27.349 100,02 122.788 589.767 30.632 99,98 143.900 582.471 29.429 100,32 112.115 636.248 30.084 100,44 109.600 599.885 26.290 100,51 117.446 621.694 24.379 101 118.456 637.406 23.335 100,88 101.901 595.994 21.346 100,55 89.940 696.308 21.106 100,82 129.143 674.201 24.514 101,5 126.102 648.861 28.353 102,15 143.048 649.605 30.805 102,39 142.258 672.392 31.348 102,54 131.011 598.396 34.556 102,85 146.471 613.177 33.855 103,47 114.073 638.104 34.787 103,56 114.642 615.632 32.529 103,69 118.226 634.465 29.998 103,49 111.338 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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Correlations for all pairs of data series (method=pearson)
WERKLVACCPIINSCHR
WERKL1-0.0990.2490.12
VAC-0.09910.80.242
CPI0.2490.810.029
INSCHR0.120.2420.0291


Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
WERKL;VAC-0.0991-0.1419-0.0912
p-value(0.3697)(0.1974)(0.2193)
WERKL;CPI0.24880.1380.0887
p-value(0.0225)(0.2107)(0.2326)
WERKL;INSCHR0.11970.0940.062
p-value(0.2781)(0.3944)(0.404)
VAC;CPI0.80030.81680.6207
p-value(0)(0)(0)
VAC;INSCHR0.24170.25910.1756
p-value(0.0267)(0.0175)(0.0181)
CPI;INSCHR0.02930.03990.0192
p-value(0.791)(0.7189)(0.7958)
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/18/t1292693503dinczrnneqyoud6/10vhx1292693465.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/18/t1292693503dinczrnneqyoud6/10vhx1292693465.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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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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