R version 2.15.2 (2012-10-26) -- "Trick or Treat"
Copyright (C) 2012 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(6.11,6.13,6.15,6.15,6.16,6.18,6.21,6.22,6.23,6.26,6.28,6.28,6.29,6.32,6.36,6.37,6.38,6.38,6.4,6.41,6.42,6.43,6.44,6.47,6.47,6.48,6.51,6.54,6.56,6.57,6.6,6.62,6.65,6.71,6.76,6.78,6.8,6.83,6.86,6.86,6.87,6.88,6.9,6.92,6.93,6.94,6.96,6.98,6.99,7.01,7.06,7.07,7.08,7.08,7.1,7.11,7.22,7.24,7.25,7.26,7.27,7.3,7.32,7.34,7.35,7.36,7.39,7.41,7.43,7.46,7.47,7.5)
> 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/157nd1353081819.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/2tyzn1353081819.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/353171353081819.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  0.95965658  0.91987373  0.87976090  0.83953278  0.79887130
 [7]  0.75828934  0.71893984  0.67867593  0.63768050  0.59763525  0.55793987
[13]  0.51833593  0.47800046  0.43788763  0.39874090  0.35962994  0.32591004
[19]  0.29120814  0.25712644  0.22184806  0.18600514  0.14967717  0.11514623
[25]  0.08155752  0.04681984  0.01236443 -0.02070346 -0.05295236 -0.08507800
[31] -0.11700089 -0.14744879 -0.17747925 -0.20652373 -0.23377914 -0.25777448
[37] -0.28003244 -0.30125672 -0.32075952 -0.33673985 -0.34988152 -0.36156014
[43] -0.37239194 -0.38133528 -0.38951131 -0.39668943 -0.40216596 -0.40546778
[49] -0.40781146
> (mypacf <- c(rpacf$acf))
 [1]  0.959656579 -0.013496433 -0.024849013 -0.022854719 -0.027361462
 [6] -0.021661366 -0.007395153 -0.034270383 -0.033523314 -0.013052350
[11] -0.020515940 -0.024181268 -0.035131511 -0.025085180 -0.015663614
[16] -0.026814697  0.039985214 -0.037786524 -0.020302921 -0.042446821
[21] -0.036807902 -0.036909787 -0.006992590 -0.020257622 -0.046902032
[26] -0.029150786 -0.016670257 -0.023253148 -0.033528559 -0.033429605
[31] -0.018385035 -0.030878751 -0.019321381 -0.017188026  0.004012075
[36] -0.015743308 -0.021738363 -0.015181428  0.012337273  0.005275280
[41] -0.013303627 -0.020516037 -0.006877688 -0.018784196 -0.015676165
[46] -0.008052642 -0.001433410 -0.015812268
> 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/408uc1353081819.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/560hs1353081819.tab") 
> 
> try(system("convert tmp/157nd1353081819.ps tmp/157nd1353081819.png",intern=TRUE))
character(0)
> try(system("convert tmp/2tyzn1353081819.ps tmp/2tyzn1353081819.png",intern=TRUE))
character(0)
> try(system("convert tmp/353171353081819.ps tmp/353171353081819.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.824   0.677   3.484