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partial autocorrelation

R Software Module: rwasp_autocorrelation.wasp (opens new window with default values)
Title produced by software: (Partial) Autocorrelation Function
Date of computation: Thu, 29 Nov 2007 03:24:14 -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/29/t11963313810wyyd8gjlwcjejk.htm/, Retrieved Thu, 29 Nov 2007 11:16:27 +0100
 
User-defined keywords:
Q1
 
Dataseries X:
» Textbox « » Textfile « » CSV «
15859.4 15258.9 15498.6 15106.5 15023.6 12083.0 15761.3 16942.6 15070.3 13659.6 14768.9 14725.1 15998.1 15370.6 14956.9 15469.7 15101.8 11703.7 16283.6 16726.5 14968.9 14861.0 14583.3 15305.8 17903.9 16379.4 15420.3 17870.5 15912.8 13866.5 17823.2 17872.0 17422.0 16704.5 15991.2 16583.6 19123.5 17838.7 17209.4 18586.5 16258.1 15141.6 19202.1 17746.5 19090.1 18040.3 17515.5 17751.8 21072.4 17170.0 19439.5 19795.4 17574.9 16165.4 19464.6 19932.1 19961.2 17343.4 18924.2 18574.1 21350.6
 
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
017.81020
10.4965113.87790.00013
20.3544782.76860.003723
30.4751513.7110.000224
40.5102163.98499.1e-05
50.4570283.56950.000352
60.5437184.24663.8e-05
70.3155032.46420.008284
80.4163693.25190.000935
90.3724842.90920.002525
100.1628791.27210.104078
110.2936872.29380.012631
120.5853674.57191.2e-05
130.1897331.48190.071762
140.1206470.94230.174881
150.1422031.11060.135542
160.1283411.00240.160061
170.1496851.16910.123461
180.1592251.24360.109205
19-0.033571-0.26220.602973
200.0700610.54720.293121
210.0155550.12150.451851
22-0.174888-1.36590.911511
23-0.004997-0.0390.515503
240.1262050.98570.16409
25-0.13833-1.08040.857889
26-0.164456-1.28440.898078
27-0.183135-1.43030.921137
28-0.159957-1.24930.891837
29-0.134516-1.05060.851207
30-0.158007-1.23410.889046
31-0.276812-2.1620.982724
32-0.153456-1.19850.882327
33-0.239458-1.87020.966874
34-0.330678-2.58270.993891
35-0.210839-1.64670.947619


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.4965113.87790.00013
10.1432751.1190.133761
20.3431232.67990.004728
30.248871.94370.028272
40.1597871.2480.108404
50.3033672.36940.010499
6-0.219661-1.71560.954345
70.2022191.57940.05971
8-0.202816-1.5840.940823
9-0.348236-2.71980.995752
100.1511451.18050.121196
110.400233.12590.001357
12-0.31201-2.43690.991126
13-0.061736-0.48220.684296
14-0.1691-1.32070.904234
15-0.178613-1.3950.915965
16-0.108906-0.85060.800836
17-0.039635-0.30960.621025
180.1566391.22340.112944
19-0.07262-0.56720.713663
200.0516080.40310.344154
21-0.015917-0.12430.549262
220.0329470.25730.398897
23-0.08874-0.69310.754556
24-0.026663-0.20820.582133
25-0.040767-0.31840.624366
26-0.083673-0.65350.742057
270.1030680.8050.211978
28-0.173656-1.35630.909998
290.0686160.53590.296985
30-0.024961-0.19490.57696
310.0095990.0750.470243
32-0.033779-0.26380.603596
330.0744710.58160.281478
34-0.103261-0.80650.788454
35-0.000739-0.00580.502293
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t11963313810wyyd8gjlwcjejk/1ygyr1196331852.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t11963313810wyyd8gjlwcjejk/1ygyr1196331852.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t11963313810wyyd8gjlwcjejk/2v4ab1196331852.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t11963313810wyyd8gjlwcjejk/2v4ab1196331852.ps (open in new window)


 
Parameters:
par1 = 36 ; par2 = 0.0 ; 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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