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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 06:55:02 -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/t1196430260rxdh6wosz95diho.htm/, Retrieved Fri, 30 Nov 2007 14:44:22 +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
017.7460
10.2717762.10520.019736
20.0525830.40730.342617
30.2219541.71920.045362
40.052110.40360.343956
50.2770762.14620.017955
60.4984943.86130.000139
70.1978971.53290.065278
80.0295090.22860.409987
90.0674720.52260.301576
10-0.235237-1.82210.963291
110.032010.2480.402509
120.5272144.08386.7e-05
13-0.028279-0.21910.586323
14-0.096099-0.74440.770223
15-0.036252-0.28080.610087
16-0.209634-1.62380.945171
170.0312790.24230.404692
180.1929561.49460.070126
19-0.003704-0.02870.511396
20-0.057958-0.44890.672455
21-0.067029-0.51920.697235
22-0.312668-2.42190.990761
23-0.025235-0.19550.577156
240.2995792.32050.011865
25-0.071215-0.55160.708373
26-0.033885-0.26250.603071
27-0.067877-0.52580.699507
28-0.171925-1.33170.906006
290.0171420.13280.447405
300.1035930.80240.212736
310.0041650.03230.487184
32-0.002063-0.0160.506347
33-0.093224-0.72210.763484
34-0.271677-2.10440.980229
35-0.062024-0.48040.683667
360.1076720.8340.203788
37-0.102757-0.7960.785402
38-0.092455-0.71610.761661
39-0.142354-1.10270.862713
40-0.196744-1.5240.933615
41-0.089024-0.68960.753441
42-0.06825-0.52870.700505
43-0.097559-0.75570.773603
44-0.060256-0.46670.678812
45-0.127599-0.98840.836532
46-0.191867-1.48620.928768
47-0.099417-0.77010.777863


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.2717762.10520.019736
1-0.022977-0.1780.57033
20.2307351.78730.039473
3-0.078622-0.6090.727589
40.3333012.58170.006145
50.3522642.72860.004166
60.0501790.38870.349442
7-0.108026-0.83680.796977
8-0.073075-0.5660.713261
9-0.458002-3.54770.999619
10-0.082927-0.64240.738454
110.4732673.66590.000262
12-0.239164-1.85260.965567
130.0174140.13490.446577
140.006020.04660.481482
150.1027730.79610.214564
16-0.079379-0.61490.729517
17-0.097656-0.75640.773828
180.0289530.22430.411656
19-0.076431-0.5920.721973
20-0.046977-0.36390.641387
210.0739170.57260.284541
220.0364910.28270.389205
230.0196240.1520.439847
240.0532970.41280.3406
250.0789180.61130.271658
26-0.056865-0.44050.669411
270.0343370.2660.395586
28-0.097425-0.75460.773294
29-0.09779-0.75750.774137
30-0.071323-0.55250.708659
31-0.019659-0.15230.560261
32-0.106047-0.82140.792674
330.0029420.02280.490948
34-0.052173-0.40410.656224
35-0.005121-0.03970.515756
360.0194240.15050.440454
37-0.073846-0.5720.715273
380.0704090.54540.293755
39-0.02289-0.17730.570068
40-0.008103-0.06280.52492
41-0.105361-0.81610.79117
42-0.099608-0.77160.778298
430.0043270.03350.486688
440.026580.20590.418789
450.1270810.98440.164444
46-0.052278-0.40490.65652
47-0.081668-0.63260.7353
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196430260rxdh6wosz95diho/1v3vs1196430899.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196430260rxdh6wosz95diho/1v3vs1196430899.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196430260rxdh6wosz95diho/21j301196430899.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t1196430260rxdh6wosz95diho/21j301196430899.ps (open in new window)


 
Parameters:
par1 = 48 ; par2 = 1 ; par3 = 0 ; 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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