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(125326,122716,116615,113719,110737,112093,143565,149946,149147,134339,122683,115614,116566,111272,104609,101802,94542,93051,124129,130374,123946,114971,105531,104919,104782,101281,94545,93248,84031,87486,115867,120327,117008,108811,104519,106758,109337,109078,108293,106534,99197,103493,130676,137448,134704,123725,118277,121225,120528,118240,112514,107304,100001,102082,130455,135574,132540,119920,112454,109415,109843,106365,102304,97968,92462,92286,120092,126656,124144,114045,108120,105698,111203)
> 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/fisher/rcomp/tmp/16hyr1357729984.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/fisher/rcomp/tmp/2nted1357729984.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/fisher/rcomp/tmp/38cgs1357729984.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  0.304278597 -0.215301355 -0.385429602 -0.273397409
 [6]  0.001483313  0.178073949  0.027641323 -0.211461268 -0.318964141
[11] -0.209698990  0.245965621  0.789803868  0.235131471 -0.203563280
[16] -0.310848469 -0.227397831  0.021855687  0.134877741  0.031526448
[21] -0.172992617 -0.266430928 -0.181504106  0.195265864  0.604346944
[26]  0.177117558 -0.155545144 -0.253393037 -0.169113784  0.022575914
[31]  0.112816272  0.024827873 -0.133256259 -0.200732026 -0.124763796
[36]  0.157305185  0.472432138  0.149834641 -0.102095240 -0.184063360
[41] -0.135789815  0.005599226  0.081740199  0.006709925 -0.110002978
[46] -0.145232648 -0.074649344  0.113048531  0.341140380
> (mypacf <- c(rpacf$acf))
 [1]  0.304278597 -0.339301177 -0.242167261 -0.166849448 -0.025187551
 [6] -0.003063593 -0.192773940 -0.257808074 -0.322147355 -0.372992445
[11] -0.043800510  0.604178444 -0.316978915 -0.003829947  0.187243248
[16] -0.016438506 -0.003212339 -0.117662558  0.061832418 -0.051028036
[21] -0.083267780  0.011426383 -0.098670034 -0.109587609 -0.031503156
[26]  0.022847323 -0.162652400 -0.010271842 -0.079243738 -0.012638896
[31] -0.117437951 -0.059018268  0.044907272 -0.054494139 -0.074104246
[36]  0.042069225  0.038060375 -0.002650164  0.058792047 -0.011828222
[41]  0.007954292  0.026250810 -0.037420326  0.026850813 -0.044066914
[46]  0.043103456 -0.060462675 -0.082861419
> lengthx <- length(x)
> sqrtn <- sqrt(lengthx)
> 
> #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/fisher/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/fisher/rcomp/tmp/4tocn1357729984.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/fisher/rcomp/tmp/5m8iv1357729984.tab") 
> 
> try(system("convert tmp/16hyr1357729984.ps tmp/16hyr1357729984.png",intern=TRUE))
character(0)
> try(system("convert tmp/2nted1357729984.ps tmp/2nted1357729984.png",intern=TRUE))
character(0)
> try(system("convert tmp/38cgs1357729984.ps tmp/38cgs1357729984.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.740   0.501   2.250