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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: Fri, 30 Nov 2007 07:23:39 -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/30/t11964320945yob6vrqmxihys5.htm/, Retrieved Fri, 30 Nov 2007 15:14:56 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
112,6 113,8 107,8 103,2 103,3 101,2 107,7 110,4 101,9 115,9 89,9 88,6 117,2 123,9 100 103,6 94,1 98,7 119,5 112,7 104,4 124,7 89,1 97 121,6 118,8 114 111,5 97,2 102,5 113,4 109,8 104,9 126,1 80 96,8 117,2 112,3 117,3 111,1 102,2 104,3 122,9 107,6 121,3 131,5 89 104,4 128,9 135,9 133,3 121,3 120,5 120,4 137,9 126,1 133,2 146,6 103,4 117,2
 
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'Gwilym Jenkins' @ 72.249.127.135


Autocorrelation Function
Time lag kACF(k)T-STATP-value
016.92820
10.4872253.37560.000733
20.5477093.79460.000207
30.5244943.63380.000339
40.3490632.41840.009716
50.4355123.01730.002036
60.368592.55370.006945
70.1568391.08660.141317
80.2147641.48790.071655
90.1794841.24350.109861
10-0.021464-0.14870.558796
110.0202720.14040.444446
12-0.126436-0.8760.807297
13-0.098118-0.67980.750047
14-0.071727-0.49690.68925
15-0.110536-0.76580.776233
16-0.162114-1.12320.866521
17-0.127752-0.88510.809741
18-0.145806-1.01020.841261
19-0.229369-1.58910.9407
20-0.109596-0.75930.774309
21-0.138979-0.96290.829782
22-0.147388-1.02110.843846
23-0.071469-0.49520.688624
24-0.178956-1.23980.889469
25-0.148056-1.02580.844927
26-0.039543-0.2740.607354
27-0.102772-0.7120.760052
28-0.128928-0.89320.811908
29-0.029664-0.20550.580982
30-0.143851-0.99660.838029
310.0080120.05550.477981
32-0.096827-0.67080.747229
33-0.166241-1.15170.872436
34-0.129894-0.89990.813676
35-0.150803-1.04480.849324


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.4872253.37560.000733
10.4069192.81920.003488
20.2639561.82870.036828
3-0.094365-0.65380.741814
40.1119410.77550.22091
50.0731250.50660.307369
6-0.276882-1.91830.969484
7-0.083617-0.57930.717458
80.124610.86330.196126
9-0.226369-1.56830.938313
10-0.1709-1.1840.878884
11-0.077196-0.53480.702381
120.1564661.0840.141884
130.0125590.0870.465512
140.0568740.3940.347649
150.0189750.13150.447978
160.0103840.07190.471473
17-0.020014-0.13870.554852
18-0.220157-1.52530.933125
190.0821570.56920.285937
200.150191.04050.151649
21-0.133476-0.92470.820138
22-0.083069-0.57550.716186
23-0.052343-0.36260.640769
240.038210.26470.396177
250.0521920.36160.359619
260.0519470.35990.36025
27-0.110096-0.76280.775334
280.0225250.15610.438322
29-0.058257-0.40360.655855
300.0593030.41090.341502
31-0.165289-1.14520.871089
32-0.074716-0.51760.696458
33-0.093061-0.64470.73892
34-0.082705-0.5730.71534
350.0400450.27740.391318
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964320945yob6vrqmxihys5/103pk1196432617.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964320945yob6vrqmxihys5/103pk1196432617.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964320945yob6vrqmxihys5/2dmtv1196432617.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964320945yob6vrqmxihys5/2dmtv1196432617.ps (open in new window)


 
Parameters:
par1 = 36 ; 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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