R version 3.0.3 (2014-03-06) -- "Warm Puppy"
Copyright (C) 2014 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(6,6.7,-0.6,5.8,16.4,1.5,5.1,14.7,4.3,1.5,9.1,4.3,5.7,13,14.5,9.7,-4.7,7.3,5.2,-2.5,11.5,4.9,-2.4,-0.3,4.4,7.9,-9.7,-4.1,16.4,-4.9,3.5,3.8,-0.2,3.1,0.7,-2.8,5.9,-5.3,-2.9,6.6,-8.1,1.3,6.9,-7.2,-1.9,4,-5.7,3.9,-7.6,-0.9,7.3,-3.7,-2.5,9.3,1.3,9.5,11.3,-1.7,8,-4.8,1.6,1.9,-0.9,5.5,1.7,-5.4,1.9,0.2,-13.3,-8.2,0.2,5.7,-1.2,-2.8,5.5,-17.3,1.4,-2.2,-8.6,-5,4.1,0.7,-4.2,-2.3)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '0'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '0'
> par2 <- '1'
> par1 <- '48'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa P., (2012), (Partial) Autocorrelation Function (v1.0.11) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_autocorrelation.wasp/
> #Source of accompanying publication: 
> #
> if (par1 == 'Default') {
+ par1 = 10*log10(length(x))
+ } else {
+ par1 <- as.numeric(par1)
+ }
> par2 <- as.numeric(par2)
> par3 <- as.numeric(par3)
> par4 <- as.numeric(par4)
> par5 <- as.numeric(par5)
> if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
> par7 <- as.numeric(par7)
> if (par8 != '') par8 <- as.numeric(par8)
> ox <- x
> if (par8 == '') {
+ if (par2 == 0) {
+ x <- log(x)
+ } else {
+ x <- (x ^ par2 - 1) / par2
+ }
+ } else {
+ x <- log(x,base=par8)
+ }
> if (par3 > 0) x <- diff(x,lag=1,difference=par3)
> if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
> postscript(file="/var/wessaorg/rcomp/tmp/1kz3z1394716696.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow=c(2,1))
> plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
> if (par8=='') {
+ mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
+ mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
+ } else {
+ mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
+ mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
+ }
> plot(x,type='l', main=mytitle,xlab='time',ylab='value')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/29efj1394716696.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/364f41394716696.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
> dev.off()
null device 
          1 
> (myacf <- c(racf$acf))
 [1]  1.00000000  0.04539912  0.02140262  0.48536729  0.06503510  0.11980330
 [7]  0.19986275  0.14367139  0.27750325 -0.01637591  0.14080634  0.29949188
[13] -0.28364835  0.05836713  0.23861692 -0.16934282  0.05081332  0.10064172
[19] -0.03821098 -0.03166417 -0.10602640  0.09266864  0.01448956 -0.20954514
[25]  0.09321028  0.05253292 -0.12928590  0.06001387 -0.01653742 -0.03002538
[31]  0.02457400 -0.06808762  0.08850999 -0.04834141 -0.13156262  0.17112994
[37] -0.06413372 -0.11793134  0.12723320 -0.04331596 -0.03548022  0.05191116
[43]  0.03325737  0.13286445 -0.07577147 -0.08112408  0.16484871 -0.12018072
[49] -0.04822358
> (mypacf <- c(rpacf$acf))
 [1]  0.045399115  0.019381485  0.484715303  0.034104476  0.141319076
 [6] -0.052369642  0.134786893  0.211555061 -0.133914142  0.048126816
[11]  0.070798331 -0.355888125 -0.059056260  0.007627452  0.029135907
[16]  0.004710559  0.009216179  0.025649139 -0.082928328 -0.021072745
[21]  0.093178013  0.065422581 -0.022198011 -0.117463832  0.012263168
[26]  0.101732247  0.038079685 -0.050045261  0.034917432  0.034969532
[31] -0.094262023  0.019641784 -0.018411131 -0.061287907  0.050222690
[36] -0.073422321 -0.010168031  0.036721510  0.025118409  0.019365936
[41]  0.063159739  0.140066706  0.095383649 -0.056306958 -0.170241322
[46] -0.071984363 -0.046754370 -0.002005517
> lengthx <- length(x)
> sqrtn <- sqrt(lengthx)
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Autocorrelation Function',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Time lag k',header=TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,'P-value',header=TRUE)
> a<-table.row.end(a)
> for (i in 2:(par1+1)) {
+ a<-table.row.start(a)
+ a<-table.element(a,i-1,header=TRUE)
+ a<-table.element(a,round(myacf[i],6))
+ mytstat <- myacf[i]*sqrtn
+ a<-table.element(a,round(mytstat,4))
+ a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/444cc1394716696.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Time lag k',header=TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,'P-value',header=TRUE)
> a<-table.row.end(a)
> for (i in 1:par1) {
+ a<-table.row.start(a)
+ a<-table.element(a,i,header=TRUE)
+ a<-table.element(a,round(mypacf[i],6))
+ mytstat <- mypacf[i]*sqrtn
+ a<-table.element(a,round(mytstat,4))
+ a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/5xris1394716696.tab") 
> 
> try(system("convert tmp/1kz3z1394716696.ps tmp/1kz3z1394716696.png",intern=TRUE))
character(0)
> try(system("convert tmp/29efj1394716696.ps tmp/29efj1394716696.png",intern=TRUE))
character(0)
> try(system("convert tmp/364f41394716696.ps tmp/364f41394716696.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.235   0.439   2.732