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partial autocorrelatie

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 03:16:48 -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/t1196330943hmi3rgpx4xbinqf.htm/, Retrieved Thu, 29 Nov 2007 11:09:08 +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
0170
10.1453421.01740.156982
20.2707291.89510.031993
30.4908473.43590.000606
40.1883611.31850.096729
50.2348671.64410.053282
60.2317791.62250.055562
7-0.10943-0.7660.776327
80.145721.020.15636
90.0397820.27850.390911
10-0.190456-1.33320.905683
11-0.096137-0.6730.747932
12-0.170146-1.1910.880308
13-0.195356-1.36750.911144
14-0.031182-0.21830.585938
15-0.241685-1.69180.951482
16-0.269086-1.88360.96722
17-0.008944-0.06260.524834
18-0.076149-0.5330.701794
19-0.192721-1.3490.908238
20-0.122901-0.86030.803095
210.0375380.26280.396916
22-0.194054-1.35840.909717
230.0875850.61310.271325
24-0.109174-0.76420.775799
25-0.179524-1.25670.892584
260.0727140.5090.306518
27-0.077593-0.54320.705256
28-0.169232-1.18460.87906
290.0116230.08140.467743
30-0.138903-0.97230.832166
31-0.042344-0.29640.615914
32-0.032796-0.22960.59031
33-0.176977-1.23880.889347
340.006410.04490.482195
350.0426360.29850.383309


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.1453421.01740.156982
10.2549911.78490.040231
20.4637873.24650.001055
30.098020.68610.24793
40.0204920.14340.443264
5-0.061614-0.43130.66593
6-0.396305-2.77410.996095
7-0.08769-0.61380.728917
80.0048850.03420.486431
9-0.045057-0.31540.623101
10-0.115153-0.80610.787952
11-0.135703-0.94990.826593
12-0.011852-0.0830.532892
130.2147841.50350.069566
140.1218530.8530.198913
15-0.142141-0.9950.837685
16-0.053082-0.37160.644094
170.1205370.84380.201452
18-0.020126-0.14090.55573
19-0.215648-1.50950.931208
200.104160.72910.2347
21-0.27261-1.90830.968888
220.0815310.57070.2854
23-0.016051-0.11240.5445
24-0.123129-0.86190.80353
25-0.058943-0.41260.65915
26-0.060598-0.42420.663357
270.0196390.13750.44561
280.0225670.1580.437566
290.0934060.65380.258135
30-0.043704-0.30590.619523
31-0.173165-1.21220.884367
320.0055110.03860.484691
330.1466121.02630.1549
340.0240210.16810.433581
35-0.0477-0.33390.630061
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196330943hmi3rgpx4xbinqf/1v2js1196331407.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196330943hmi3rgpx4xbinqf/1v2js1196331407.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196330943hmi3rgpx4xbinqf/2yakx1196331407.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196330943hmi3rgpx4xbinqf/2yakx1196331407.ps (open in new window)


 
Parameters:
par1 = 36 ; par2 = 0.0 ; 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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