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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: Sat, 01 Dec 2007 05:30:22 -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/Dec/01/t11965116236olbpbfh299ruhu.htm/, Retrieved Sat, 01 Dec 2007 13:20:25 +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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Autocorrelation Function
Time lag kACF(k)T-STATP-value
016.85570
1-0.570817-3.91330.999854
20.0744910.51070.305982
30.1602361.09850.138785
4-0.279488-1.91610.969275
50.1612451.10540.137298
60.1453520.99650.16206
7-0.276491-1.89550.967909
80.1105690.7580.226111
90.1525451.04580.150503
10-0.262614-1.80040.960891
110.2167971.48630.071941
12-0.165776-1.13650.869247
13-0.005198-0.03560.514138
140.0792830.54350.294664
15-0.015074-0.10330.540934
16-0.044009-0.30170.617897
170.0249290.17090.432517
180.0788890.54080.295587
19-0.208641-1.43040.920387
200.1612521.10550.137287
21-0.029306-0.20090.579183
22-0.064864-0.44470.670705
230.1799321.23350.111752
24-0.148681-1.01930.843362
25-0.057358-0.39320.652036
260.1492461.02320.155731
27-0.036189-0.24810.597431
28-0.114751-0.78670.782296
290.218211.4960.070673
30-0.284132-1.94790.971294
310.2519541.72730.045339
32-0.040112-0.2750.607736
33-0.123145-0.84420.798594
340.1021380.70020.243621
35-0.075-0.51420.695231


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
0-0.570817-3.91330.999854
1-0.372818-2.55590.993058
20.0099890.06850.472846
3-0.209557-1.43670.92128
4-0.168659-1.15630.873293
50.2067681.41750.081462
60.014120.09680.461648
7-0.185335-1.27060.894937
80.1704521.16860.124238
90.0648840.44480.329245
10-0.031503-0.2160.58503
11-0.206507-1.41570.918277
12-0.04941-0.33870.631842
13-0.129488-0.88770.810396
14-0.109265-0.74910.77123
15-0.016471-0.11290.544712
16-0.047708-0.32710.627467
170.1457660.99930.161378
18-0.132514-0.90850.815868
19-0.152209-1.04350.848972
200.0600870.41190.34113
210.0043120.02960.488272
220.0692780.47490.318512
23-0.020963-0.14370.55683
24-0.082444-0.56520.712691
25-0.100295-0.68760.752455
260.0700360.48010.316676
27-0.057341-0.39310.651993
28-0.003308-0.02270.508999
29-0.114486-0.78490.781767
300.0975370.66870.253484
310.0008840.00610.497596
32-0.009726-0.06670.526439
330.0265030.18170.428303
34-0.043028-0.2950.615348
35-0.117271-0.8040.787269
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/01/t11965116236olbpbfh299ruhu/17ceu1196512220.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/01/t11965116236olbpbfh299ruhu/17ceu1196512220.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/01/t11965116236olbpbfh299ruhu/2j6ed1196512220.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/01/t11965116236olbpbfh299ruhu/2j6ed1196512220.ps (open in new window)


 
Parameters:
par1 = 36 ; par2 = 1 ; par3 = 1 ; 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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