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G3ACFwerkl

R Software Module: rwasp_autocorrelation.wasp (opens new window with default values)
Title produced by software: (Partial) Autocorrelation Function
Date of computation: Wed, 28 Nov 2007 12:09:47 -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/28/t1196276391i6usdv4svg5svo6.htm/, Retrieved Wed, 28 Nov 2007 19:59:53 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
476049 474605 470439 461251 454724 455626 516847 525192 522975 518585 509239 512238 519164 517009 509933 509127 500857 506971 569323 579714 577992 565464 547344 554788 562325 560854 555332 543599 536662 542722 593530 610763 612613 611324 594167 595454 590865 589379 584428 573100 567456 569028 620735 628884 628232 612117 595404 597141 593408 590072 579799 574205 572775 572942 619567 625809 619916 587625 565742 557274
 
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
016.85570
10.1107760.75940.225691
20.0954980.65470.257926
3-0.135449-0.92860.821077
4-0.154926-1.06210.853195
50.0035150.02410.490438
6-0.08943-0.61310.728617
7-0.075751-0.51930.697013
80.0724530.49670.310854
90.2188381.50030.070115
10-0.153932-1.05530.851659
11-0.098628-0.67620.748873
12-0.205408-1.40820.917175
130.062480.42830.33518
140.3042122.08560.021236
150.0844120.57870.282778
160.1083680.74290.23061
17-0.114583-0.78550.78196
180.1379640.94580.174535
19-0.035827-0.24560.596475
200.0162650.11150.455844
21-0.007722-0.05290.520999
220.022570.15470.438847
230.1169430.80170.213374
24-0.086244-0.59130.721409
25-0.1434-0.98310.834704
26-0.222279-1.52390.932878
270.0551080.37780.35364
28-0.090879-0.6230.731864
290.0604790.41460.340153
30-0.07671-0.52590.699284
31-0.033659-0.23080.590747
320.0491340.33680.368868
33-0.014223-0.09750.538632
34-0.019092-0.13090.551789
350.0483430.33140.370899


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.1107760.75940.225691
10.0842610.57770.283125
2-0.157508-1.07980.857133
3-0.13751-0.94270.824678
40.066230.45410.325941
5-0.09046-0.62020.730926
6-0.115291-0.79040.783367
70.1092320.74890.228836
80.2307961.58230.060149
9-0.319579-2.19090.983275
10-0.128423-0.88040.808445
110.0028050.01920.49237
120.1291550.88540.190213
130.2343631.60670.057408
140.0125890.08630.465795
150.0160340.10990.45647
16-0.190144-1.30360.900634
170.2243471.5380.065371
180.1172650.80390.212743
190.0550250.37720.35385
200.0652010.4470.328465
21-0.111164-0.76210.775096
22-0.062618-0.42930.665161
23-0.010637-0.07290.528911
240.0380650.2610.397631
25-0.056536-0.38760.649967
26-0.031042-0.21280.583804
27-0.226859-1.55530.936704
28-0.106967-0.73330.7665
29-0.019275-0.13210.552281
300.0687940.47160.319686
31-0.112407-0.77060.777607
32-0.014542-0.09970.539494
33-0.150836-1.03410.846805
340.0576160.3950.347316
350.0269040.18440.42723
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196276391i6usdv4svg5svo6/1s2nq1196276985.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196276391i6usdv4svg5svo6/1s2nq1196276985.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196276391i6usdv4svg5svo6/2s9dy1196276985.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196276391i6usdv4svg5svo6/2s9dy1196276985.ps (open in new window)


 
Parameters:
par1 = 36 ; par2 = 1 ; par3 = 1 ; 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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