R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(164,96,73,49,39,59,169,169,210,278,298,245,200,188,90,79,78,91,167,169,289,247,275,203,223,104,107,85,75,99,135,211,335,488,326,346,261,224,141,148,145,223,272,445,560,612,467,404,518,404,300,210,196,186,247,343,464,680,711,610,513,292,273,322,189,257,324,404,677,858,895,664,628,308,324,248,272)
> 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/1ytnz1386836793.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/211a31386836793.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/37qvn1386836793.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  0.86616815  0.65637399  0.38593368  0.14864968 -0.02189568
 [7] -0.08372515 -0.05238759  0.06622423  0.25006795  0.42281806  0.56669599
[13]  0.61887342  0.55491535  0.40691644  0.22273950  0.01879362 -0.11336762
[19] -0.17497873 -0.14975011 -0.05437593  0.06992601  0.19355855  0.29133354
[25]  0.35259532  0.32741855  0.22883590  0.08203947 -0.08629267 -0.21698589
[31] -0.28662853 -0.29702870 -0.24994865 -0.15116477 -0.05128915  0.03912429
[37]  0.07762320  0.06120736 -0.02175470 -0.12097525 -0.24570162 -0.32783488
[43] -0.36536127 -0.36245255 -0.31340730 -0.23378829 -0.14969653 -0.08605927
[49] -0.04063191
> (mypacf <- c(rpacf$acf))
 [1]  0.866168147 -0.375864800 -0.329767592  0.057273193  0.090923037
 [6]  0.170482777  0.107005644  0.170615151  0.273231634  0.032531863
[11]  0.140535269 -0.014899497 -0.185486582 -0.015011805  0.027318293
[16] -0.179636121  0.114863378 -0.036633136 -0.025212111  0.008745900
[21] -0.136013273  0.035542285  0.037471375  0.095216422 -0.032862070
[26] -0.187030302  0.041380420 -0.071064380 -0.058887931  0.030637658
[31] -0.135134250 -0.060774926  0.113499187 -0.149838913 -0.010882220
[36] -0.125372528 -0.031224031 -0.023363849 -0.008986917 -0.018150414
[41]  0.100946971 -0.035272538 -0.024480170 -0.079488819  0.002824516
[46]  0.070308796 -0.052521144  0.061801934
> 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/4khhm1386836793.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/52ohg1386836793.tab") 
> 
> try(system("convert tmp/1ytnz1386836793.ps tmp/1ytnz1386836793.png",intern=TRUE))
character(0)
> try(system("convert tmp/211a31386836793.ps tmp/211a31386836793.png",intern=TRUE))
character(0)
> try(system("convert tmp/37qvn1386836793.ps tmp/37qvn1386836793.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.438   0.813   4.193