R version 3.2.3 (2015-12-10) -- "Wooden Christmas-Tree"
Copyright (C) 2015 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(1.9,2,2,1.8,1.6,1.4,0.2,0.3,0.4,0.7,1,1.1,0.8,0.8,1,1.1,1,0.8,1.6,1.5,1.6,1.6,1.6,1.9,2,1.9,2,2.1,2.3,2.3,2.6,2.6,2.7,2.6,2.6,2.4,2.5,2.5,2.5,2.4,2.1,2.1,2.3,2.3,2.3,2.9,2.8,2.9,3,3,2.9,2.6,2.8,2.9,3.1,2.8,2.4,1.6,1.5,1.7,1.4,1.1,0.8,1.2,0.8,0.9,0.9,1,0.9,1.1,1,0.7,0,0.2,0.4,0.6,1.1,1,1,0.8,0.6,0.6,0.7,0.7)
> 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. 1.2.327 (Mon, 30 Nov 2015 06:58:35 +0000)
> #Author: root
> #To cite this work: Wessa P., (2015), (Partial) Autocorrelation Function (v1.0.12) 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)
> x <- na.omit(x)
> 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/1bt0u1457981634.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/2g0wd1457981634.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/34cuj1457981634.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  0.93776588  0.86550441  0.78840018  0.72400106  0.66746430
 [7]  0.61981541  0.57404664  0.52121316  0.45772562  0.38609085  0.30733440
[13]  0.21706928  0.16788210  0.12296794  0.08061759  0.02795503 -0.02487846
[19] -0.07463537 -0.12564570 -0.16651474 -0.19667274 -0.23833941 -0.28410817
[25] -0.32833865 -0.36823914 -0.40147372 -0.42314266 -0.43165071 -0.43127089
[31] -0.43191659 -0.43045427 -0.43793680 -0.44701459 -0.44589411 -0.44471665
[37] -0.44484959 -0.44361516 -0.44175403 -0.43282817 -0.41626785 -0.39885293
[43] -0.37443026 -0.33753039 -0.29738301 -0.25313355 -0.22797022 -0.19209587
[49] -0.14932771
> (mypacf <- c(rpacf$acf))
 [1]  0.937765877 -0.115265267 -0.073134098  0.069598254  0.013989762
 [6]  0.023123045 -0.019131915 -0.087374718 -0.103747418 -0.087720057
[11] -0.103173561 -0.166988554  0.287226715 -0.082100073 -0.087179645
[16] -0.080848108 -0.017282208  0.024298331 -0.058346484  0.024444830
[21]  0.001435237 -0.197490565 -0.092302853 -0.096912610  0.103534060
[26] -0.020149924  0.014337066 -0.017205285  0.013100110 -0.006474301
[31] -0.030649538 -0.055708456  0.038719408 -0.036910277 -0.143987554
[36] -0.152302689  0.038464650 -0.055741950  0.034724467  0.053029671
[41] -0.026514864  0.006367545  0.133807556 -0.024807188  0.090833089
[46] -0.154453090  0.112592478 -0.026715785
> 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/4sl2j1457981634.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/5gq881457981634.tab") 
> 
> try(system("convert tmp/1bt0u1457981634.ps tmp/1bt0u1457981634.png",intern=TRUE))
character(0)
> try(system("convert tmp/2g0wd1457981634.ps tmp/2g0wd1457981634.png",intern=TRUE))
character(0)
> try(system("convert tmp/34cuj1457981634.ps tmp/34cuj1457981634.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.149   0.239   1.396