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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: Sun, 30 Dec 2007 07:38:20 -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/30/t1199024333j6fxd7kvsuc04pp.htm/, Retrieved Sun, 30 Dec 2007 15:18:53 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
163414 163652 164603 165257 168731 171848 175032 179187 187369 194147 200145 203750 206464 205034 211782 244562 247059 255703 260218 268852 279436 281514 285458 288338 296369 302221 311016
 
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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001


Autocorrelation Function
Time lag kACF(k)T-STATP-value
015.0991.3e-05
10.0234640.11960.452843
2-0.054181-0.27630.607738
3-0.096044-0.48970.685784
4-0.003494-0.01780.507039
50.1556430.79360.217298
6-0.060736-0.30970.620369
70.0060080.03060.487897
8-0.105116-0.5360.701739
90.0627740.32010.375732
100.0244740.12480.450824
110.0789310.40250.345314
12-0.096421-0.49170.686456
13-0.176401-0.89950.811671
14-0.175999-0.89740.811135
15-0.00921-0.0470.518549
16-0.011472-0.05850.5231
17-0.012725-0.06490.525619
18-0.008575-0.04370.517271
19-0.006045-0.03080.512177
200.0285170.14540.442754
210.0024620.01260.495039
22-0.003674-0.01870.507402
23-0.029406-0.14990.559016
24-0.015748-0.08030.531694
25-0.017025-0.08680.534256
26NANANA
27NANANA
28NANANA
29NANANA
30NANANA
31NANANA
32NANANA
33NANANA
34NANANA
35NANANA
36NANANA
37NANANA
38NANANA
39NANANA
40NANANA
41NANANA
42NANANA
43NANANA
44NANANA
45NANANA
46NANANA
47NANANA
48NANANA
49NANANA
50NANANA
51NANANA
52NANANA
53NANANA
54NANANA
55NANANA
56NANANA
57NANANA
58NANANA
59NANANA


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.0234640.11960.452843
1-0.054762-0.27920.608862
2-0.093751-0.4780.68169
3-0.00228-0.01160.504593
40.1474540.75190.22944
5-0.078592-0.40070.654059
60.0237550.12110.45226
7-0.087511-0.44620.670435
80.0619360.31580.377333
9-0.010354-0.05280.520852
100.0943450.48110.317247
11-0.110895-0.56550.711695
12-0.133781-0.68220.749412
13-0.213024-1.08620.856324
14-0.018141-0.09250.536496
15-0.106751-0.54430.704573
160.0145660.07430.470681
17-0.006503-0.03320.513099
180.047770.24360.404734
19-0.030949-0.15780.562086
200.0208030.10610.458169
21-0.039867-0.20330.579751
220.0220270.11230.455717
23-0.026635-0.13580.553493
24-0.006569-0.03350.513233
25NANANA
26NANANA
27NANANA
28NANANA
29NANANA
30NANANA
31NANANA
32NANANA
33NANANA
34NANANA
35NANANA
36NANANA
37NANANA
38NANANA
39NANANA
40NANANA
41NANANA
42NANANA
43NANANA
44NANANA
45NANANA
46NANANA
47NANANA
48NANANA
49NANANA
50NANANA
51NANANA
52NANANA
53NANANA
54NANANA
55NANANA
56NANANA
57NANANA
58NANANA
59NANANA
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/30/t1199024333j6fxd7kvsuc04pp/1t14l1199025496.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/30/t1199024333j6fxd7kvsuc04pp/1t14l1199025496.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/30/t1199024333j6fxd7kvsuc04pp/20db21199025496.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/30/t1199024333j6fxd7kvsuc04pp/20db21199025496.ps (open in new window)


 
Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ;
 
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; 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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