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(97.41,97.32,97.33,97.38,97.47,97.5,97.5,97.58,97.7,97.9,97.98,98.03,98.03,97.94,98.12,98.19,98.34,98.42,98.43,98.45,98.77,99.24,99.46,99.54,99.55,99.24,99.43,99.47,99.57,99.62,99.64,99.75,99.85,100.28,100.52,100.57,100.57,100.27,100.27,100.18,100.16,100.18,100.18,100.59,100.69,101.06,101.15,101.16,101.16,100.81,100.94,101.13,101.29,101.34,101.35,101.7,102.05,102.48,102.66,102.72,102.73,102.18,102.22,102.37,102.53,102.61,102.62,103,103.17,103.52,103.69,103.73,99.57,99.09,99.14,99.36,99.6,99.65,99.8,100.15,100.45,100.89,101.13,101.17,101.21,101.1,101.17,101.11,101.2,101.15,100.92,101.1,101.22,101.25,101.39,101.43) > par8 = '' > par7 = '0.95' > par6 = 'White Noise' > par5 = '12' > par4 = '1' > par3 = '0' > par2 = '1' > par1 = '48' > par8 <- '' > par7 <- '0.95' > par6 <- 'White Noise' > par5 <- '12' > par4 <- '1' > 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/1wgte1451337359.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/2wq2j1451337359.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/3syzo1451337359.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 0.892598760 0.773933591 0.651574637 0.532907609 [6] 0.412141100 0.295292166 0.187525778 0.083943197 -0.013646607 [11] -0.100924819 -0.185280653 -0.274677711 -0.264992976 -0.243988595 [16] -0.219668760 -0.198374071 -0.169645250 -0.144021188 -0.125200229 [21] -0.109777987 -0.094146729 -0.081478738 -0.067494517 -0.050584465 [26] -0.027341852 -0.006219715 0.009195795 0.021554203 0.027453052 [31] 0.040071022 0.050506947 0.059048401 0.060042008 0.050971580 [36] 0.034496467 0.019790076 0.004998906 -0.009004589 -0.018601711 [41] -0.026806996 -0.039432221 -0.056126859 -0.072073936 -0.087873803 [46] -0.102323840 -0.114605843 -0.121741518 -0.133558885 > (mypacf <- c(rpacf$acf)) [1] 0.8925987596 -0.1121623451 -0.0827295424 -0.0541009689 -0.0894791567 [6] -0.0652926385 -0.0450891006 -0.0748379830 -0.0680556926 -0.0498159222 [11] -0.0920906339 -0.1371189159 0.4018590970 -0.0439769433 -0.0484159160 [16] -0.0274694667 -0.0082919335 -0.0520180127 -0.0286859661 -0.0409456012 [21] -0.0272572754 -0.0070031848 -0.0239926585 -0.0774344766 0.2829858624 [26] -0.0194746203 -0.0549846241 -0.0157751690 -0.0008947103 0.0230680277 [31] -0.0184184443 -0.0296485608 -0.0410478730 -0.0435108944 -0.0465279861 [36] -0.0505541405 0.2018331130 -0.0126849420 -0.0315210269 -0.0235183889 [41] -0.0559886677 0.0127717440 -0.0262889823 -0.0422383455 -0.0418139661 [46] -0.0493486232 -0.0439057314 -0.0951656587 > 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/48v4r1451337359.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/5nzsf1451337359.tab") > > try(system("convert tmp/1wgte1451337359.ps tmp/1wgte1451337359.png",intern=TRUE)) character(0) > try(system("convert tmp/2wq2j1451337359.ps tmp/2wq2j1451337359.png",intern=TRUE)) character(0) > try(system("convert tmp/3syzo1451337359.ps tmp/3syzo1451337359.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 1.152 0.205 1.371