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R Software Module: rwasp_autocorrelation.wasp (opens new window with default values)
Title produced by software: (Partial) Autocorrelation Function
Date of computation: Mon, 26 Nov 2007 12:26:07 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Nov/26/t11961046168rl9yd52kbtx4pc.htm/, Retrieved Mon, 26 Nov 2007 20:16:56 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
106,7 110,2 125,9 100,1 106,4 114,8 81,3 87 104,2 108 105 94,5 92 95,9 108,8 103,4 102,1 110,1 83,2 82,7 106,8 113,7 102,5 96,6 92,1 95,6 102,3 98,6 98,2 104,5 84 73,8 103,9 106 97,2 102,6 89 93,8 116,7 106,8 98,5 118,7 90 91,9 113,3 113,1 104,1 108,7 96,7 101 116,9 105,8 99 129,4 83 88,9 115,9 104,2 113,4 112,2 100,8 107,3 126,6 102,9 117,9 128,8 87,5 93,8 122,7 126,2 124,6 116,7 115,2 111,1 129,9 113,3 118,5 133,5 102,1 102,4
 
Text written by user:
 
Output produced by software:


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001


Autocorrelation Function
Time lag kACF(k)T-STATP-value
018.24620
10.3584112.95550.002143
20.3907983.22260.000976
30.4173953.44190.000496
40.1975021.62860.054006
50.2913822.40280.009502
60.239011.97090.026402
70.0104470.08620.465799
80.1286781.06110.146198
90.0669160.55180.291445
100.0090370.07450.470406
110.0561810.46330.322323
12-0.100611-0.82970.795183
13-0.047363-0.39060.65133
140.0470170.38770.349719
150.0192490.15870.437177
16-0.032566-0.26850.605455
170.1038540.85640.197391
180.0369470.30470.380772


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.3584112.95550.002143
10.3010062.48220.007767
20.2669842.20160.015545
3-0.082473-0.68010.750622
40.0921710.76010.224922
50.04750.39170.348255
6-0.214897-1.77210.95957
70.0005960.00490.498046
80.0322080.26560.395679
90.0049360.04070.483825
10-0.019045-0.15710.562166
11-0.127322-1.04990.851265
120.0181360.14960.440781
130.1085590.89520.18692
140.1094480.90250.184981
15-0.098569-0.81280.790421
160.1349251.11260.134895
170.0529580.43670.331856
18-0.029475-0.24310.595653
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/26/t11961046168rl9yd52kbtx4pc/179bl1196105162.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/26/t11961046168rl9yd52kbtx4pc/179bl1196105162.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/26/t11961046168rl9yd52kbtx4pc/2k2b61196105162.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/26/t11961046168rl9yd52kbtx4pc/2k2b61196105162.ps (open in new window)


 
Parameters:
par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 12 ;
 
R code (references can be found in the software module):
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 (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x,par1,main='Autocorrelation',xlab='lags',ylab='ACF')
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='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 1:par1) {
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(mytstat,lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.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-1,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(mytstat,lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
 





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Software written by Ed van Stee & Patrick Wessa


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