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(105,101,105,101,88,108,116,104,110,105,107,124,109,102,125,102,101,116,114,115,119,108,110,120,113,111,121,99,104,117,108,122,122,111,111,131,108,118,119,104,105,118,124,123,114,119,116,129,112,123,124,117,110,118,135,127,117,137,130,132,142,122,126)
> y <- c(105,105,109,106,82,114,118,105,105,103,107,123,112,104,122,108,94,120,118,117,113,106,108,122,115,110,120,104,96,121,111,120,114,107,108,127,105,119,121,106,97,119,122,121,106,114,112,127,109,118,123,115,105,116,131,121,104,127,126,124,132,117,123)
> x <- c(101,104,99,105,107,111,117,119,127,128,135,132,136,143,142,153,145,138,148,152,169,169,161,174,179,191,190,182,175,181,197,194,197,216,221,218,230,227,204,197,199,208,191,202,211,224,224,231,244,235,250,266,288,283,295,312,334,348,383,407,414,363,322)
> (rho12 <- cor(x, y))
[1] 0.4815225
> (rho23 <- cor(y, z))
[1] 0.9082763
> (rho13 <- cor(x, z))
[1] 0.6908341
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] -0.4824849
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] 0.6912909
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.9083926
> 
> #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/1fq4b1226353174.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.273   0.018   0.301