R version 3.2.2 (2015-08-14) -- "Fire Safety"
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> x <- c(71.59,71.65,71.47,71.82,71.76,71.88,73.31,73.22,72.74,72.95,73.71,74.45,76.54,77.41,76.87,76.51,75.66,75.09,75.16,75,75.05,74.78,75.43,75.61,77.12,83.09,86.09,87.64,88.29,89.3,89.99,90.43,91.03,91.4,92.19,92.45,92.42,90.2,88.23,84.91,82.92,81.8,81.7,83.22,82.7,82.83,83.66,84.28,84.37,86.49,87.62,88.59,89.74,89.73,89.14,88.37,88.65,89.16,89.56,89.37,89.67,93.04,94.4,95.5,101.66,102.86,102.48,102.02,101.83,101.3,101.29,100.53,100.45,101.88,101.95,102.18,100.95,100.52,100.39,99.61,99.43,99.34,100.73,102.14,102.22,101.14,100.91,101.62,100,99.92,100.07,98.48,98.3,98.86,98.96,99.52,99.06,100.47,100.24,86.43,85.14,85.41,86.13,86.19,86.29,87.55,87.87,88.37)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '1'
> par2 = '1'
> par1 = '36'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '1'
> par2 <- '1'
> par1 <- '36'
> #'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/1kjpz1445595442.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/2stuq1445595442.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/37sio1445595442.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  0.286488933  0.058525443  0.097888658 -0.002871144
 [6] -0.033260033 -0.097126678 -0.031969296  0.007590861 -0.032503024
[11] -0.063098307 -0.011583788 -0.077685144 -0.039623876  0.003021009
[16] -0.010545813 -0.066157731 -0.055366325  0.052919088  0.051535732
[21]  0.043252963  0.039353089  0.037756029  0.041723896 -0.051954086
[26] -0.059736850 -0.108187173 -0.096561891 -0.019305764 -0.016447266
[31]  0.022505504  0.042442149  0.056736081  0.046667947 -0.030590392
[36] -0.200496519  0.017286994
> (mypacf <- c(rpacf$acf))
 [1]  0.2864889328 -0.0256562237  0.0959772247 -0.0618570963 -0.0174095380
 [6] -0.0995012716  0.0326913359  0.0122287917 -0.0236226186 -0.0583066480
[11]  0.0173194170 -0.0930606711  0.0220526764  0.0062348860 -0.0029812824
[16] -0.0864307480 -0.0166848571  0.0681422934  0.0295814421  0.0302568851
[21]  0.0012880191 -0.0043032033  0.0242564148 -0.0687872801 -0.0220139576
[26] -0.1077877246 -0.0258159494  0.0211797164 -0.0004806341  0.0403764842
[31]  0.0213309926  0.0282587348  0.0067534866 -0.0543169948 -0.1999748169
[36]  0.1333844984
> 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/4543t1445595442.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/5nz7t1445595442.tab") 
> 
> try(system("convert tmp/1kjpz1445595442.ps tmp/1kjpz1445595442.png",intern=TRUE))
character(0)
> try(system("convert tmp/2stuq1445595442.ps tmp/2stuq1445595442.png",intern=TRUE))
character(0)
> try(system("convert tmp/37sio1445595442.ps tmp/37sio1445595442.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.069   0.259   1.319