R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> z <- c(2.3,1.9,1.7,2.5,2.1,2.4,1.5,1.9,2.1,2.2,2,2,2.2,2.3,2.3,2,2.2,1.9,2.3,2.2,2.3,2.1,2.4,2.3,1.9,1.6,1.8,1.8,2,2.3,2.2,2.2,2,2,1.9,1.5,1.6,1.5,2,1.5,1.5,1.9,1.1,1.5,2.1,2.3,2.6,2.9,3.2,3.2,3.1,3,3.3,2.7,3.6,3.1,2.7,2.6,2.2)
> y <- c(1.3,1.2,1.1,1.4,1.2,1.5,1.1,1.3,1.5,1.1,1.4,1.3,1.5,1.6,1.7,1.1,1.6,1.3,1.7,1.6,1.7,1.9,1.8,1.9,1.6,1.5,1.6,1.6,1.7,2,2,1.9,1.7,1.8,1.9,1.7,2,2.1,2.4,2.5,2.5,2.6,2.2,2.5,2.8,2.8,2.9,3,3.1,2.9,2.7,2.2,2.5,2.3,2.6,2.3,2.2,1.8,1.8)
> x <- c(2,2.1,2.1,2.5,2.2,2.3,2.3,2.2,2.2,1.6,1.8,1.7,1.9,1.8,1.9,1.5,1,0.8,1.1,1.5,1.7,2.3,2.4,3,3,3.2,3.2,3.2,3.5,4,4.3,4.1,4,4.1,4.2,4.5,5.6,6.5,7.6,8.5,8.7,8.3,8.3,8.5,8.7,8.7,8.5,7.9,7,5.8,4.5,3.7,3.1,2.7,2.3,1.8,1.5,1.2,1)
> #'GNU S' R Code compiled by R2WASP v. 1.0.44 ()
> #Author: Prof. Dr. P. Wessa
> #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: Write here your technical program description (don't use hard returns!)
> (rho12 <- cor(x, y))
[1] 0.7511169
> (rho23 <- cor(y, z))
[1] 0.4308465
> (rho13 <- cor(x, z))
[1] -0.1768709
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] 0.9314606
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] -0.840091
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.8675455
> 
> #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Pearson Product Moment Partial Correlation - Ungrouped Data',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Statistic',1,TRUE)
> a<-table.element(a,'Value',1,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Correlation r(xy)',header=TRUE)
> a<-table.element(a,rho12)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/partial_correlation1.htm','Partial Correlation r(xy.z)',''),header=TRUE)
> a<-table.element(a,rhoxy_z)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Correlation r(xz)',header=TRUE)
> a<-table.element(a,rho13)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/partial_correlation1.htm','Partial Correlation r(xz.y)',''),header=TRUE)
> a<-table.element(a,rhoxz_y)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Correlation r(yz)',header=TRUE)
> a<-table.element(a,rho23)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/partial_correlation1.htm','Partial Correlation r(yz.x)',''),header=TRUE)
> a<-table.element(a,rhoyz_x)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/1u13c1257256540.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.281   0.025   0.302