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(812,100,113,213,149,134,228,138,162,291,182,2081,2752,125,144,274,257,186,327,209,213,375,400,1054,3377,101,120,221,222,167,297,185,189,298,237,1011,3013,110,109,215,176,134,202,139,169,262,214,1238,3748,127,160,138,134,163,172,163,193,226,344,1294,3524,141,186,135,161,131,170,146,160,151,151,1365)
> 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/1h2lu1394716669.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/2abxs1394716670.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/3f0851394716670.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  0.19430702 -0.12247384 -0.11549696 -0.14905759 -0.15849691
 [7] -0.12709797 -0.16434689 -0.15747868 -0.13420748 -0.15243478  0.16234820
[13]  0.79167682  0.17973124 -0.10098101 -0.08860791 -0.12106020 -0.12644735
[19] -0.09824912 -0.13190986 -0.12216067 -0.10752989 -0.13118677  0.12240540
[25]  0.58808075  0.14214638 -0.06044582 -0.05999121 -0.08767786 -0.08793422
[31] -0.07120822 -0.09678414 -0.08611375 -0.08243264 -0.09842567  0.09259342
[37]  0.43163281  0.13760994 -0.03745283 -0.04289529 -0.06603427 -0.06401244
[43] -0.05499168 -0.07210762 -0.06491229 -0.06498426 -0.07714428  0.06561649
[49]  0.22725036
> (mypacf <- c(rpacf$acf))
 [1]  0.194307017 -0.166515897 -0.059195901 -0.140799781 -0.135420579
 [6] -0.130658897 -0.210757964 -0.220096191 -0.278051206 -0.415438494
[11] -0.174052625  0.651449692 -0.139435891 -0.093702896 -0.062248710
[16] -0.056815948 -0.045513978 -0.038020455 -0.017751196  0.004600753
[21]  0.020351061  0.031574471 -0.081045203 -0.145608572 -0.080600344
[26]  0.024145291 -0.031323581 -0.018905715 -0.010238451 -0.031258658
[31] -0.020537445 -0.028762025 -0.046755499 -0.005768880 -0.009162242
[36]  0.006622123  0.084940448 -0.027302501 -0.001513371  0.004335627
[41]  0.007460351  0.016302180  0.025615561  0.025471919  0.038272497
[46]  0.029214173  0.035601326 -0.258591061
> 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/4rh2t1394716670.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/5ro071394716670.tab") 
> 
> try(system("convert tmp/1h2lu1394716669.ps tmp/1h2lu1394716669.png",intern=TRUE))
character(0)
> try(system("convert tmp/2abxs1394716670.ps tmp/2abxs1394716670.png",intern=TRUE))
character(0)
> try(system("convert tmp/3f0851394716670.ps tmp/3f0851394716670.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.315   0.442   2.756