R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(24,24,31,25,28,24,25,16,17,11,12,39,19,14,15,7,12,12,14,9,8,4,7,3,5,0,-2,6,11,9,17,21,21,41,57,65,68,73,71,71,70,69,65,57,57,57,55,65,65,64,60,43,47,40,31,27,24,23,17,16,15,8,5,6,5,12,8,17,22,24,36,31,34,47,33,35,31,35,39,46,40,50,62,57,59,52,63,56,55,54,48,39,40,38,34,32)
> 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/16p1l1425596337.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/2iotu1425596337.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/3ez2b1425596337.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  0.94312582  0.89378708  0.83172267  0.74251028  0.66043391
 [7]  0.56330279  0.46346911  0.36060833  0.26309785  0.16565443  0.07754980
[13] -0.01008394 -0.09256709 -0.18045438 -0.26461507 -0.33402892 -0.40106034
[19] -0.46195875 -0.50431176 -0.54078335 -0.56749078 -0.57007049 -0.56126576
[25] -0.55472892 -0.52948562 -0.49726393 -0.45956663 -0.39785322 -0.32194806
[31] -0.24769694 -0.17099633 -0.09630613 -0.02526127  0.04402676  0.10091414
[37]  0.15892493  0.19749061  0.22513347  0.24853329  0.25818437  0.27306826
[43]  0.28533379  0.29018086  0.29338663  0.29641812  0.28982839  0.27366882
[49]  0.26062007
> (mypacf <- c(rpacf$acf))
 [1]  0.943125815  0.038916214 -0.137107607 -0.298976105 -0.015779705
 [6] -0.134937408 -0.062464416 -0.111488072  0.025515220 -0.064838998
[11]  0.025181466 -0.099230296 -0.036378315 -0.203140739 -0.081078462
[16]  0.003599686 -0.008099976 -0.102251689  0.063860573 -0.025180036
[21] -0.019519016  0.059621744  0.070246124 -0.176570686  0.014602037
[26]  0.011576295  0.048835731  0.126577963  0.208911568 -0.035417549
[31] -0.044156783 -0.098520602 -0.013099485 -0.057569494 -0.095707281
[36]  0.030811675 -0.028418978 -0.057515841 -0.019642693 -0.010710928
[41]  0.051384471 -0.005833265  0.046735648  0.031261314  0.023033885
[46] -0.020510025 -0.039118866  0.058002719
> 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/4hvap1425596337.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/5xnim1425596337.tab") 
> 
> try(system("convert tmp/16p1l1425596337.ps tmp/16p1l1425596337.png",intern=TRUE))
character(0)
> try(system("convert tmp/2iotu1425596337.ps tmp/2iotu1425596337.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ez2b1425596337.ps tmp/3ez2b1425596337.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.149   0.228   1.389