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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 07:41:33 -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/t1196433070gu59ls5j77dju1v.htm/, Retrieved Fri, 30 Nov 2007 15:31:13 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
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'Gwilym Jenkins' @ 72.249.127.135


Autocorrelation Function
Time lag kACF(k)T-STATP-value
016.92820
10.0938190.650.259397
20.1740141.20560.11694
30.3042522.10790.020142
4-0.017648-0.12230.548402
50.078810.5460.293793
60.0762140.5280.299958
7-0.241365-1.67220.949506
80.0105120.07280.471123
9-0.118087-0.81810.791338
10-0.16855-1.16770.875661
11-0.050764-0.35170.636699
12-0.28617-1.98260.973427
13-0.218581-1.51440.931755
14-0.103457-0.71680.761505
15-0.126216-0.87450.806887
16-0.099569-0.68980.753191
170.0503230.34860.36444
18-0.03327-0.23050.590658
190.0203560.1410.444218
200.084240.58360.2811
210.1307090.90560.184841
220.0206110.14280.443524
230.1691431.17190.12352
24-0.010816-0.07490.529712
250.0629260.4360.332409
260.1721271.19250.119458
27-0.006016-0.04170.516536
28-0.018372-0.12730.550377
290.0749030.51890.303093
30-0.012222-0.08470.533565
310.0893520.61910.269405
32-0.042947-0.29750.616334
33-0.062255-0.43130.665914
340.0590040.40880.342254
35-0.086231-0.59740.723484
36-0.127175-0.88110.808671
37-0.021624-0.14980.559232
38-0.094996-0.65810.743207
39-0.045759-0.3170.623702
400.0460370.3190.375573
41-0.023583-0.16340.56455
42-0.046806-0.32430.626433
430.0002790.00190.499234
44-0.023274-0.16120.563711
45-0.067172-0.46540.67812
46-0.052584-0.36430.641389
47-0.012122-0.0840.533289


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.0938190.650.259397
10.1666791.15480.126947
20.2853811.97720.02689
3-0.089088-0.61720.729996
4-0.011177-0.07740.530701
50.0033680.02330.49074
6-0.255563-1.77060.95851
70.0032170.02230.491155
8-0.073265-0.50760.692969
9-0.023811-0.1650.565168
10-0.034816-0.24120.59479
11-0.218808-1.51590.931954
12-0.140783-0.97540.832868
13-0.076484-0.52990.700688
140.0845910.58610.280289
15-0.027794-0.19260.575943
160.1081770.74950.228615
170.009120.06320.474941
18-0.087202-0.60420.725706
19-0.026024-0.18030.571162
200.1019070.7060.241791
21-0.042217-0.29250.614413
220.0837620.58030.282208
23-0.12931-0.89590.812608
24-0.055327-0.38330.648411
250.0687070.4760.318111
260.0004990.00350.498629
27-0.054889-0.38030.647294
280.0294630.20410.419559
290.114820.79550.215121
300.0741350.51360.304936
31-0.097602-0.67620.748922
320.0287690.19930.421427
330.0500370.34670.36518
34-0.018644-0.12920.551118
35-0.158957-1.10130.861868
36-0.041598-0.28820.612783
370.0488830.33870.368167
380.0489060.33880.368107
390.0383940.2660.395688
400.0508850.35250.362987
41-0.070803-0.49050.687006
42-0.043126-0.29880.616805
43-0.059503-0.41220.659003
44-0.033228-0.23020.590546
45-0.051117-0.35420.637612
460.0362710.25130.401329
47NANANA
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196433070gu59ls5j77dju1v/178551196433691.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196433070gu59ls5j77dju1v/178551196433691.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196433070gu59ls5j77dju1v/20lxu1196433691.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196433070gu59ls5j77dju1v/20lxu1196433691.ps (open in new window)


 
Parameters:
par1 = 48 ; 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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