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)

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(56,55,54,52,72,71,56,46,47,47,48,50,44,38,33,33,52,54,39,22,31,31,38,42,41,31,36,34,51,47,31,19,30,33,36,40,32,25,28,29,55,55,40,38,44,41,49,59,61,47,43,39,66,68,63,68,67,59,68,78,82,70,62,68,94,102,100,104,103,93,110,114,120,102,95,103,122,139,135,135,137,130,148,148,145,128,131,133,146,163,151,157,152,149,172,167,160,150,160,165,171,179,171,176,170,169,194,196,188,174,186,191,197,206,197,204,201,190,213,213)
> 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/fisher/rcomp/tmp/1g2lu1387555514.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/2ef5b1387555514.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/3ym9n1387555514.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  0.966424216  0.931698724  0.911869333  0.897347353
 [6]  0.887662541  0.873815142  0.846546617  0.815140687  0.787655711
[11]  0.770905284  0.765657373  0.754232843  0.715830517  0.676751799
[16]  0.651245917  0.632169120  0.616268765  0.597784116  0.566937130
[21]  0.531614013  0.500934659  0.480791970  0.469302904  0.452535723
[26]  0.415292693  0.376302799  0.349464634  0.325351928  0.305173428
[31]  0.284875017  0.250745583  0.215117006  0.185282756  0.165610532
[36]  0.151972581  0.131129599  0.095589277  0.059584149  0.031904545
[41]  0.003845946 -0.016686670 -0.035953799 -0.066453204 -0.098187700
[46] -0.123804638 -0.138466298 -0.149983480 -0.167143968
> (mypacf <- c(rpacf$acf))
 [1]  0.966424216 -0.034487961  0.208195602  0.063558288  0.117480246
 [6] -0.038006964 -0.169558474 -0.089873875 -0.040387646  0.095952508
[11]  0.158493125 -0.025036238 -0.334767010 -0.030873561  0.064359533
[16]  0.020045780 -0.002837054  0.008192282 -0.062085977 -0.037076024
[21] -0.031700549  0.010543080  0.031156587  0.015980780 -0.133495622
[26] -0.048908116  0.018745295 -0.074138583  0.005123934  0.017194689
[31] -0.078932769  0.027593512 -0.018480449  0.027217434 -0.022070549
[36] -0.042698353 -0.054430729 -0.032139997 -0.030040144 -0.123064873
[41]  0.051076511  0.020082938 -0.002323071  0.005988439 -0.015659911
[46]  0.058170462 -0.040501553 -0.009875821
> 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/4og861387555514.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/5ijqh1387555515.tab") 
> 
> try(system("convert tmp/1g2lu1387555514.ps tmp/1g2lu1387555514.png",intern=TRUE))
character(0)
> try(system("convert tmp/2ef5b1387555514.ps tmp/2ef5b1387555514.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ym9n1387555514.ps tmp/3ym9n1387555514.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.587   1.002   4.658