R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> x <- c(161949,161634,161287,160652,167176,166856,161949,158687,159007,159007,159323,159990,159990,157043,155745,157043,161634,160967,154763,149510,148527,146563,147892,149510,148874,147545,144950,147545,149856,149190,141656,138394,135132,132505,132190,134150,131523,130541,129559,135132,135768,132505,123670,119745,113541,110910,112208,114172,114172,112559,112208,117465,121710,119745,113190,109932,103061,98817,102079,105341,105341,101097,100781,106319,109932,108630,102079,97835,88652,85075,86372,91946,92261,84092,87039,94226,97488,95523,86692,80484,73297,67724,70004,74910,73613,66426,68706,75893,79821,77541,68706,64782,58893,52684,53666,58573,59208,53319,54302,62502,64462,61173,49075,42871,34671,26502,29129,32706,32075,25835,29444,38280,42204,40244,32391,26186,19631,12093,13427,15707)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '1'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '1'
> 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/1142z1344777792.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/2b8oz1344777792.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/3fs9u1344777792.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]  1.000000000  0.426069612 -0.195505576 -0.330459375 -0.149182646
 [6] -0.102223237 -0.166221195 -0.071815091 -0.121605326 -0.345616202
[11] -0.207871953  0.393569767  0.840826820  0.370611699 -0.169605807
[16] -0.265161168 -0.134742179 -0.091707701 -0.146357924 -0.050403771
[21] -0.114017525 -0.307542445 -0.172873293  0.363248956  0.697053159
[26]  0.316962615 -0.148583379 -0.231373886 -0.137049385 -0.089291006
[31] -0.106972777 -0.035681465 -0.116830460 -0.293047959 -0.144943313
[36]  0.319126960  0.579852351  0.280787561 -0.101997033 -0.184733189
[41] -0.132137846 -0.094651776 -0.072658440  0.000521881 -0.097941261
[46] -0.256522837 -0.117861011  0.268066734  0.452274390
> (mypacf <- c(rpacf$acf))
 [1]  4.260696e-01 -4.606685e-01 -1.940266e-02 -4.020247e-02 -2.282467e-01
 [6] -1.486966e-01  9.662662e-03 -4.042320e-01 -5.112479e-01 -1.372555e-01
[11]  2.669644e-01  5.362759e-01 -2.063852e-01  4.245070e-02  6.455928e-02
[16] -1.504686e-02  1.042307e-01 -6.343313e-02 -2.336974e-02 -1.752604e-03
[21]  1.623703e-01  1.203559e-02  8.789305e-05 -1.807502e-02  5.396653e-02
[26]  1.697392e-03 -3.853107e-02 -5.061752e-02  2.798540e-05  6.407003e-02
[31] -3.599429e-02 -5.101919e-02 -8.070980e-02  3.695915e-03 -4.895081e-02
[36] -4.833032e-02 -1.338948e-02  8.794838e-03  3.924955e-02 -3.205419e-02
[41] -4.164298e-02 -3.120762e-03  1.212962e-01  1.286058e-02  4.218634e-02
[46]  7.862173e-03  2.237588e-02 -3.158062e-02
> 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/4vbtr1344777792.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/510xl1344777792.tab") 
> 
> try(system("convert tmp/1142z1344777792.ps tmp/1142z1344777792.png",intern=TRUE))
character(0)
> try(system("convert tmp/2b8oz1344777792.ps tmp/2b8oz1344777792.png",intern=TRUE))
character(0)
> try(system("convert tmp/3fs9u1344777792.ps tmp/3fs9u1344777792.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.274   0.246   1.514